id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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710.5553 | Probing the photonic local density of states with electron energy loss
spectroscopy | Electron energy-loss spectroscopy (EELS) performed in transmission electron
microscopes is shown to directly render the photonic local density of states
(LDOS) with unprecedented spatial resolution, currently below the nanometer.
Two special cases are discussed in detail: (i) 2D photonic structures with the
electrons moving along the translational axis of symmetry and (ii) quasi-planar
plasmonic structures under normal incidence. Nanophotonics in general and
plasmonics in particular should benefit from these results connecting the
unmatched spatial resolution of EELS with its ability to probe basic optical
properties like the photonic LDOS.
| cond-mat.mtrl-sci | electron energyloss spectroscopy eels performed in transmission electron microscopes is shown to directly render the photonic local density of states ldos with unprecedented spatial resolution currently below the nanometer two special cases are discussed in detail i 2d photonic structures with the electrons moving along the translational axis of symmetry and ii quasiplanar plasmonic structures under normal incidence nanophotonics in general and plasmonics in particular should benefit from these results connecting the unmatched spatial resolution of eels with its ability to probe basic optical properties like the photonic ldos | [['electron', 'energyloss', 'spectroscopy', 'eels', 'performed', 'in', 'transmission', 'electron', 'microscopes', 'is', 'shown', 'to', 'directly', 'render', 'the', 'photonic', 'local', 'density', 'of', 'states', 'ldos', 'with', 'unprecedented', 'spatial', 'resolution', 'currently', 'below', 'the', 'nanometer', 'two', 'special', 'cases', 'are', 'discussed', 'in', 'detail', 'i', '2d', 'photonic', 'structures', 'with', 'the', 'electrons', 'moving', 'along', 'the', 'translational', 'axis', 'of', 'symmetry', 'and', 'ii', 'quasiplanar', 'plasmonic', 'structures', 'under', 'normal', 'incidence', 'nanophotonics', 'in', 'general', 'and', 'plasmonics', 'in', 'particular', 'should', 'benefit', 'from', 'these', 'results', 'connecting', 'the', 'unmatched', 'spatial', 'resolution', 'of', 'eels', 'with', 'its', 'ability', 'to', 'probe', 'basic', 'optical', 'properties', 'like', 'the', 'photonic', 'ldos']] | [-0.08995479030215464, 0.14857584543609886, -0.029105953516417676, 0.024634995640339226, -0.05183901791127263, -0.20382378448920555, -0.02625987262189064, 0.5072131288771549, -0.28965172179440934, -0.2873975390547447, 0.017019914795403903, -0.31741921514994725, -0.11763466915555215, 0.19359635126389815, 0.0075705966668915044, 0.10261912325336964, -0.005406225147248989, -0.060541729788097104, -0.08586117084232274, -0.15721955780251204, 0.25066657711521545, 0.08644071327564254, 0.37222103721441263, 0.08885475785897919, 0.038579427427873854, 0.04576840857043862, 0.023853159985724796, 0.004400395195854513, -0.13517175159636843, 0.14733963714732023, 0.2776025585108175, -0.017491474962175898, 0.218128592225859, -0.5102127519216431, -0.2232273037890705, -0.03315606974902448, 0.18874853569491024, 0.1154719817179407, -0.09794519871232633, -0.2849660606824615, 0.023840586503109572, -0.04776589076421904, -0.21438500743484898, -0.07488201799792017, -0.06676868817591097, 0.04210029589927891, -0.16537568395894564, 0.071899139165376, -0.027759571674834477, 0.0913635062660729, -0.06750436994283764, -0.05070718721973218, -0.07971440011300565, 0.03585777852652867, -0.02651739349913145, -0.03885339017371448, 0.1616112743527236, -0.1339769396156575, -0.12144224320569735, 0.39563762440524075, 0.001485125297743283, -0.1522423752369045, 0.2062826735501209, -0.2674535998990864, -0.04441978389480978, 0.16127603977337857, 0.12266354952426103, 0.061806362260949245, -0.10320591152739826, 0.0721422629810221, -0.015047690215039202, 0.15643545026692113, 0.15732605839566735, 0.2209438310780437, 0.2606975371959839, 0.16961197182797733, 0.03482832866747016, 0.06901209126749819, -0.18945180673905637, -0.020960418784760692, -0.2277460256225189, -0.16222695253914995, -0.20108046030018772, 0.06358991698309611, -0.06848965410968509, -0.1394286174363106, 0.4210563679382707, 0.10593428659995788, 0.1532391085854491, -0.0846988833770993, 0.32207247462081773, 0.05928586507111453, 0.10223401250746729, -0.005417990388369627, 0.2416624470373218, 0.18987700746007516, 0.09511911038183764, -0.2621682277184733, -0.02685943121885818, -0.054298923026477354] |
710.5554 | Frustration of decoherence in $Y$-shaped superconducting Josephson
networks | We examine the possibility that pertinent impurities in a condensed matter
system may help in designing quantum devices with enhanced coherent behaviors.
For this purpose, we analyze a field theory model describing Y- shaped
superconducting Josephson networks. We show that a new finite coupling stable
infrared fixed point emerges in its phase diagram; we then explicitly evidence
that, when engineered to operate near by this new fixed point, Y-shaped
networks support two-level quantum systems, for which the entanglement with the
environment is frustrated. We briefly address the potential relevance of this
result for engineering finite-size superconducting devices with enhanced
quantum coherence. Our approach uses boundary conformal field theory since it
naturally allows for a field-theoretical treatment of the phase slips
(instantons), describing the quantum tunneling between degenerate levels.
| cond-mat.mes-hall cond-mat.stat-mech | we examine the possibility that pertinent impurities in a condensed matter system may help in designing quantum devices with enhanced coherent behaviors for this purpose we analyze a field theory model describing y shaped superconducting josephson networks we show that a new finite coupling stable infrared fixed point emerges in its phase diagram we then explicitly evidence that when engineered to operate near by this new fixed point yshaped networks support twolevel quantum systems for which the entanglement with the environment is frustrated we briefly address the potential relevance of this result for engineering finitesize superconducting devices with enhanced quantum coherence our approach uses boundary conformal field theory since it naturally allows for a fieldtheoretical treatment of the phase slips instantons describing the quantum tunneling between degenerate levels | [['we', 'examine', 'the', 'possibility', 'that', 'pertinent', 'impurities', 'in', 'a', 'condensed', 'matter', 'system', 'may', 'help', 'in', 'designing', 'quantum', 'devices', 'with', 'enhanced', 'coherent', 'behaviors', 'for', 'this', 'purpose', 'we', 'analyze', 'a', 'field', 'theory', 'model', 'describing', 'y', 'shaped', 'superconducting', 'josephson', 'networks', 'we', 'show', 'that', 'a', 'new', 'finite', 'coupling', 'stable', 'infrared', 'fixed', 'point', 'emerges', 'in', 'its', 'phase', 'diagram', 'we', 'then', 'explicitly', 'evidence', 'that', 'when', 'engineered', 'to', 'operate', 'near', 'by', 'this', 'new', 'fixed', 'point', 'yshaped', 'networks', 'support', 'twolevel', 'quantum', 'systems', 'for', 'which', 'the', 'entanglement', 'with', 'the', 'environment', 'is', 'frustrated', 'we', 'briefly', 'address', 'the', 'potential', 'relevance', 'of', 'this', 'result', 'for', 'engineering', 'finitesize', 'superconducting', 'devices', 'with', 'enhanced', 'quantum', 'coherence', 'our', 'approach', 'uses', 'boundary', 'conformal', 'field', 'theory', 'since', 'it', 'naturally', 'allows', 'for', 'a', 'fieldtheoretical', 'treatment', 'of', 'the', 'phase', 'slips', 'instantons', 'describing', 'the', 'quantum', 'tunneling', 'between', 'degenerate', 'levels']] | [-0.1925455472955946, 0.21520873739791568, -0.08488301905890694, 0.07596989194462367, -0.03488126724914764, -0.21501315914429142, 0.08330722381833766, 0.36628082591960265, -0.2404722066130489, -0.226615323790611, 0.012654900559027737, -0.2708441929445371, -0.22178913426978397, 0.1775117959587078, -0.03219061943309498, 0.047885412717278086, 0.011267076506555895, -0.01819033375613799, -0.08287567624756775, -0.19864890135795576, 0.3480400308071694, 0.0031920825967972632, 0.3315479868415423, 0.07668500290310476, 0.061454830112779746, 0.020344855994153477, 0.07895422336150659, 0.03417038991392474, -0.14261416739367405, 0.08494709347269236, 0.2973685997640132, 0.010194758935540449, 0.22739211867065023, -0.4538222725823289, -0.2545773160381941, 0.09372085810537101, 0.15775743196741132, 0.19442235411679576, -0.08335873300711683, -0.31273079120001057, 0.05434238437010208, -0.17657876892917557, -0.17380353821477001, -0.10956821210857015, -0.033682615008729044, -0.038896502810530365, -0.21762183001555968, 0.012612009515578393, 0.044828579881141195, 0.056084035547883104, -0.02625248194794949, -0.020741453920891217, 0.029410431629003142, 0.09408196057779605, -0.03596472378285398, 0.014045528301721788, 0.14528908544161823, -0.15537100993788044, -0.13243301033480748, 0.32904485744984413, -0.043391338835135684, -0.1427052943909075, 0.16882912411892903, -0.10946970186887484, -0.12471827794070123, 0.08844520257844124, 0.14010713803872932, 0.08537303787306882, -0.149150426330948, 0.10987496656889562, 0.022944113149605982, 0.16016126627300764, 0.008756444200116675, 0.0888260539577459, 0.29099829751066864, 0.19932784565935435, 0.05170850643480662, 0.17503826756001217, -0.05829763137262489, -0.17910615328037238, -0.32725551354451454, -0.16898309370026254, -0.18512723048843327, 0.07709927848191, -0.08181131367746275, -0.192776237585349, 0.35961084242444485, 0.21299352102721514, 0.1576468198272778, -0.03641511267505848, 0.2639347435251693, 0.12739069966210081, 0.05083035264215141, 0.0456381298836277, 0.21869126142701134, 0.14765907323635474, 0.11428004339086328, -0.27776494684803765, -0.030659609226859175, 0.04772379224959877] |
710.5555 | Nature of the superconductor-insulator transition in disordered
superconductors | As a superconducting thin film becomes disordered and subject to an
increasing magnetic field, a point is reached when it undergoes a transition
from a superconducting to an insulating state. We use the Bogoliubov-De-Gennes
equations and a novel Monte-Carlo approach to study this transition
numerically, starting from a microscopic hamiltonian. The key effect of
disorder is to create 'islands' of strong superconductivity, coupled by regions
that are only weakly superconducting. In the case of weak disorder, an
increasing magnetic field eventually destroys the superconducting state
throughout the material, leading to an insulator. On the other hand, when
disorder is strong, superconductivity persists in the islands, and the effect
of a magnetic field is to suppress the coupling between them, resulting in
strong superconducting phase fluctuations, again leading to an insulating
state. These findings may be relevant to the high-temperature superconductors,
where intrinsic disorder may play a role.
| cond-mat.supr-con cond-mat.dis-nn | as a superconducting thin film becomes disordered and subject to an increasing magnetic field a point is reached when it undergoes a transition from a superconducting to an insulating state we use the bogoliubovdegennes equations and a novel montecarlo approach to study this transition numerically starting from a microscopic hamiltonian the key effect of disorder is to create islands of strong superconductivity coupled by regions that are only weakly superconducting in the case of weak disorder an increasing magnetic field eventually destroys the superconducting state throughout the material leading to an insulator on the other hand when disorder is strong superconductivity persists in the islands and the effect of a magnetic field is to suppress the coupling between them resulting in strong superconducting phase fluctuations again leading to an insulating state these findings may be relevant to the hightemperature superconductors where intrinsic disorder may play a role | [['as', 'a', 'superconducting', 'thin', 'film', 'becomes', 'disordered', 'and', 'subject', 'to', 'an', 'increasing', 'magnetic', 'field', 'a', 'point', 'is', 'reached', 'when', 'it', 'undergoes', 'a', 'transition', 'from', 'a', 'superconducting', 'to', 'an', 'insulating', 'state', 'we', 'use', 'the', 'bogoliubovdegennes', 'equations', 'and', 'a', 'novel', 'montecarlo', 'approach', 'to', 'study', 'this', 'transition', 'numerically', 'starting', 'from', 'a', 'microscopic', 'hamiltonian', 'the', 'key', 'effect', 'of', 'disorder', 'is', 'to', 'create', 'islands', 'of', 'strong', 'superconductivity', 'coupled', 'by', 'regions', 'that', 'are', 'only', 'weakly', 'superconducting', 'in', 'the', 'case', 'of', 'weak', 'disorder', 'an', 'increasing', 'magnetic', 'field', 'eventually', 'destroys', 'the', 'superconducting', 'state', 'throughout', 'the', 'material', 'leading', 'to', 'an', 'insulator', 'on', 'the', 'other', 'hand', 'when', 'disorder', 'is', 'strong', 'superconductivity', 'persists', 'in', 'the', 'islands', 'and', 'the', 'effect', 'of', 'a', 'magnetic', 'field', 'is', 'to', 'suppress', 'the', 'coupling', 'between', 'them', 'resulting', 'in', 'strong', 'superconducting', 'phase', 'fluctuations', 'again', 'leading', 'to', 'an', 'insulating', 'state', 'these', 'findings', 'may', 'be', 'relevant', 'to', 'the', 'hightemperature', 'superconductors', 'where', 'intrinsic', 'disorder', 'may', 'play', 'a', 'role']] | [-0.19825922987949687, 0.25350639764601635, -0.05271980795553144, 0.03221606412747254, -0.041930582973041704, -0.14641497794500724, 0.07650180472707262, 0.3551847352171127, -0.263101431740714, -0.25192266276350156, 0.028449468166554713, -0.33587986901149053, -0.11780534649179095, 0.1599871954155237, 0.029324548952534897, -0.029303303077107386, -0.0511916752375637, -0.007401075904720089, -0.10993237099784496, -0.2170021987859109, 0.36102412070850937, 0.03514746690903898, 0.3399061431861197, 0.09365651081474562, 0.019949939667380283, -0.04734921704315094, 0.16845561021013933, 0.06142290971134187, -0.11767254166209438, -0.012227727968220402, 0.246201744132048, -0.09524943560780007, 0.27524428294502756, -0.48765315234559736, -0.20759938220765922, 0.04893706859640625, 0.1468636579114665, 0.20507891289889812, -0.06932092102824197, -0.31684473687687853, 0.047386377878791214, -0.12515675691653322, -0.14151191955660375, -0.09173748528483469, -0.009136689935342035, -0.0531254105953354, -0.28575478611889354, 0.059312366167729606, 0.08917111870325899, 0.05714536137438576, -0.05919473124731357, -0.021702440731151372, -0.0619229783151983, 0.09715739035619372, 0.06757142408244109, 0.11463580134033295, 0.1463229433620716, -0.1757809501220504, -0.046098025690694495, 0.3109201638227595, -0.03440258074330077, -0.08079496588633985, 0.18610109539930614, -0.13764656874031259, -0.07255199971311048, 0.1898513967804864, 0.12330976010420594, 0.0627680959387486, -0.12480628598567738, 0.052333263045598176, 0.011253050785055575, 0.21713773128010339, -0.04680624656018098, 0.0670718061484295, 0.26850457374817455, 0.2322011591001813, 0.07153280858001133, 0.19156880423285663, -0.09623422307381248, -0.09492824709385025, -0.2419497139124694, -0.1658815549810094, -0.21252582183576563, 0.06422544810402232, -0.06992361120229071, -0.2612013498029741, 0.36534327551481777, 0.21598333033074174, 0.18092890698969566, -0.10496276377884, 0.22384798320859264, 0.13173051983938508, 0.05673368872605822, 0.026889308317735488, 0.2784124929117368, 0.197895288671728, 0.11519586697046971, -0.2777125134139138, 0.07844050457941837, 0.013656882236578636] |
710.5556 | An 8-dimensional realization of the Clifford algebra in the
5-dimensional Galilean space-time | We give an 8-dimensional realization of the Clifford algebra in the
5-dimensional Galilean space-time by using a dimensional reduction from the
$(5+1)$ Minkowski space-time to the $(4+1)$ Minkowski space-time which
encompasses the Galilean space-time. A set of solutions of the Dirac-type
equation in the 5-dimensional Galilean space-time is obtained, based on the
Pauli representation of $8\times 8$ gamma matrices. In order to find an
explicit solution, we diagonalize the Klein-Gordon divisor by using the
Galilean boost.
| hep-th | we give an 8dimensional realization of the clifford algebra in the 5dimensional galilean spacetime by using a dimensional reduction from the 51 minkowski spacetime to the 41 minkowski spacetime which encompasses the galilean spacetime a set of solutions of the diractype equation in the 5dimensional galilean spacetime is obtained based on the pauli representation of 8times 8 gamma matrices in order to find an explicit solution we diagonalize the kleingordon divisor by using the galilean boost | [['we', 'give', 'an', '8dimensional', 'realization', 'of', 'the', 'clifford', 'algebra', 'in', 'the', '5dimensional', 'galilean', 'spacetime', 'by', 'using', 'a', 'dimensional', 'reduction', 'from', 'the', '51', 'minkowski', 'spacetime', 'to', 'the', '41', 'minkowski', 'spacetime', 'which', 'encompasses', 'the', 'galilean', 'spacetime', 'a', 'set', 'of', 'solutions', 'of', 'the', 'diractype', 'equation', 'in', 'the', '5dimensional', 'galilean', 'spacetime', 'is', 'obtained', 'based', 'on', 'the', 'pauli', 'representation', 'of', '8times', '8', 'gamma', 'matrices', 'in', 'order', 'to', 'find', 'an', 'explicit', 'solution', 'we', 'diagonalize', 'the', 'kleingordon', 'divisor', 'by', 'using', 'the', 'galilean', 'boost']] | [-0.1682172878767903, 0.09064433563502175, -0.056344480143467844, 0.031192630684113522, -0.1072525393315836, -0.09268048357855725, -0.03295480251606358, 0.2473148717299888, -0.18326917211034974, -0.2595125393464083, 0.08652315308542088, -0.2629376640114443, -0.17599338754447863, 0.153599453979711, -0.08557365839614679, 0.03451019159126047, -0.033607362438679525, 0.1043961570892287, -0.20785133182806403, -0.26463051919678326, 0.395578675756329, 0.059929477822917854, 0.24972321274445244, -0.0736250015171735, 0.18650460944167876, 0.009387064185973844, -0.020871353972899288, -0.036128471127564184, -0.11966163330515356, 0.09578924914086728, 0.18916081531144874, 0.08439535949697816, 0.11740964605767083, -0.4141189353785625, -0.18742078589888192, 0.0816347096176622, 0.16896374763210156, 0.143647210370737, -0.05905786077461304, -0.37047525519799246, 0.020595759122730477, -0.1962991647275263, -0.19680125728298567, -0.07943708540283535, 0.026151709920285565, -0.1676874447883548, -0.20996833251372568, 0.10529968238092567, 0.07275639979879518, 0.0764373957890233, -0.14209484001376518, -0.07381573051067167, -0.04717259058471475, -0.004506274757563676, 0.04467676338237269, 0.01469786052199963, 0.06464746163079613, -0.045989394912172236, -0.15443146940761884, 0.44858957126148435, -0.06438552530169928, -0.33316278148834644, 0.09948497137214106, -0.18052788298135916, -0.09650625713096049, 0.1446096511943707, 0.15215549969089856, 0.101069365067432, -0.17710557197661778, 0.2631572519772147, -0.07447065742484196, 0.0923464545538943, 0.12388314415798768, 0.008348355559926284, 0.15610322701640575, 0.0716420899537441, 0.06755007688250196, 0.11314301065316326, -0.03976851783533532, -0.09371748196242966, -0.4117991071390478, -0.2133956576427935, -0.1608973853780251, 0.1866420952198831, -0.23090293670171186, -0.13925040905412875, 0.35600284362015755, 0.10762393289156821, 0.14385554248369053, 0.025595706867630054, 0.17915176888192563, 0.14272098402407687, 0.08278161735813085, 0.13330994838677152, 0.23810832951781585, 0.17980232398258522, 0.06762376028774797, -0.19336482302567579, -0.21659626892467618, 0.20157844237493058] |
710.5557 | CPT theorem in a (5+1) Galilean space-time | We extend the 5-dimensional Galilean space-time to a (5+1) Galilean
space-time in order to define a parity transformation in a covariant manner.
This allows us to discuss the discrete symmetries in the Galilean space-time,
which is embedded in the (5+1) Minkowski space-time. We discuss the Dirac-type
field, for which we give the 8\times 8 gamma matrices explicitly. We
demonstrate that the CPT theorem holds in the (5+1) Galilean space-time.
| hep-th | we extend the 5dimensional galilean spacetime to a 51 galilean spacetime in order to define a parity transformation in a covariant manner this allows us to discuss the discrete symmetries in the galilean spacetime which is embedded in the 51 minkowski spacetime we discuss the diractype field for which we give the 8times 8 gamma matrices explicitly we demonstrate that the cpt theorem holds in the 51 galilean spacetime | [['we', 'extend', 'the', '5dimensional', 'galilean', 'spacetime', 'to', 'a', '51', 'galilean', 'spacetime', 'in', 'order', 'to', 'define', 'a', 'parity', 'transformation', 'in', 'a', 'covariant', 'manner', 'this', 'allows', 'us', 'to', 'discuss', 'the', 'discrete', 'symmetries', 'in', 'the', 'galilean', 'spacetime', 'which', 'is', 'embedded', 'in', 'the', '51', 'minkowski', 'spacetime', 'we', 'discuss', 'the', 'diractype', 'field', 'for', 'which', 'we', 'give', 'the', '8times', '8', 'gamma', 'matrices', 'explicitly', 'we', 'demonstrate', 'that', 'the', 'cpt', 'theorem', 'holds', 'in', 'the', '51', 'galilean', 'spacetime']] | [-0.1836946642809156, 0.14608466752089452, -0.09924969059901069, 0.09546703438989926, -0.10839659601881885, -0.10228840267771612, -0.0008810499440068784, 0.31184009219641273, -0.18910172595170097, -0.2689573899505363, 0.0593056563284599, -0.2069422275781635, -0.16126743183079836, 0.08699297956933362, -0.12028936181973288, 0.02768561068544353, -0.09023033666923858, 0.06419837970178628, -0.1806381894039341, -0.23918065998325314, 0.3155636784715065, 0.03577879020451582, 0.250197222739782, -0.01772926724853291, 0.134230967881023, 0.02838155399987717, -0.04091448532088417, -0.02925446406141787, -0.1250651941903187, 0.07492770152284588, 0.2124567499411279, 0.08518499648873357, 0.12564075346428738, -0.3993208057692517, -0.19417161090245497, 0.1040285354534137, 0.11937246751715092, 0.17262649225354518, -0.04794805297844004, -0.3354187895260427, 0.06310825178102739, -0.18001551666985388, -0.2297616796028139, -0.10126903618051522, 0.022274870514883187, -0.17765799803200408, -0.2186124605477612, 0.11306181099565077, 0.12003042233055053, 0.03075332780355129, -0.10409837472674342, -0.01611823884203382, -0.005416059367142726, 0.03171571942748151, 0.05501243601337183, 0.005994179124093574, 0.09185707683850458, 0.008499270578360429, -0.14404523513107764, 0.46474339370278345, -0.07618307691587108, -0.29484459329936386, 0.14943823692105387, -0.2169216837922948, -0.1932584071882825, 0.07419239443497382, 0.16538037944153167, 0.0850606235081627, -0.18128740082940328, 0.23291436422184325, -0.06566945800854676, 0.09115138598650262, 0.11687629267681336, 0.04348761107151707, 0.1719795231828871, 0.023427444739618164, 0.07303152087589969, 0.13350395860987296, -0.07785807816696394, -0.09428616715730101, -0.41921816998417827, -0.24763749625560813, -0.08796351928047944, 0.1414588440236622, -0.1617365879735545, -0.10059192528327306, 0.3640026724424915, 0.17236271552552562, 0.15566657735979644, 0.057001910145408, 0.18106463578178722, 0.12826915461893962, 0.07289458040579938, 0.13246965259178609, 0.25809489404512703, 0.1721061551032345, 0.11204621887789445, -0.1969128271051939, -0.19080754791966814, 0.12057386373804099] |
710.5558 | Guided Modes of Elliptical Metamaterial Waveguides | The propagation of guided electromagnetic waves in open elliptical
metamaterial waveguide structures is investigated. The waveguide contains a
negative-index media core, where the permittivity, $\epsilon$ and permeability
$\mu$ are negative over a given bandwidth. The allowed mode spectrum for these
structures is numerically calculated by solving a dispersion relation that is
expressed in terms of Mathieu functions. By probing certain regions of
parameter space, we find the possibility exists to have extremely localized
waves that transmit along the surface of the waveguide.
| cond-mat.other cond-mat.mtrl-sci | the propagation of guided electromagnetic waves in open elliptical metamaterial waveguide structures is investigated the waveguide contains a negativeindex media core where the permittivity epsilon and permeability mu are negative over a given bandwidth the allowed mode spectrum for these structures is numerically calculated by solving a dispersion relation that is expressed in terms of mathieu functions by probing certain regions of parameter space we find the possibility exists to have extremely localized waves that transmit along the surface of the waveguide | [['the', 'propagation', 'of', 'guided', 'electromagnetic', 'waves', 'in', 'open', 'elliptical', 'metamaterial', 'waveguide', 'structures', 'is', 'investigated', 'the', 'waveguide', 'contains', 'a', 'negativeindex', 'media', 'core', 'where', 'the', 'permittivity', 'epsilon', 'and', 'permeability', 'mu', 'are', 'negative', 'over', 'a', 'given', 'bandwidth', 'the', 'allowed', 'mode', 'spectrum', 'for', 'these', 'structures', 'is', 'numerically', 'calculated', 'by', 'solving', 'a', 'dispersion', 'relation', 'that', 'is', 'expressed', 'in', 'terms', 'of', 'mathieu', 'functions', 'by', 'probing', 'certain', 'regions', 'of', 'parameter', 'space', 'we', 'find', 'the', 'possibility', 'exists', 'to', 'have', 'extremely', 'localized', 'waves', 'that', 'transmit', 'along', 'the', 'surface', 'of', 'the', 'waveguide']] | [-0.23119402974957554, 0.17975166320400426, -0.012309594869204774, 0.011451021448720428, -0.11997711408042872, -0.11962567553174024, 0.010502053112382205, 0.45368020103608325, -0.2430446029118285, -0.24724071474018983, 0.040348311071284115, -0.2809001915724721, -0.16546479315019963, 0.213145719273243, 0.06675773924898083, 0.05331729315562037, 0.006215457017987785, -0.017628461304234296, -0.008112681308397797, -0.1239554756207437, 0.3361426772345312, 0.029933869784766035, 0.28190817698132153, 0.02722326027820023, 0.08820722990374012, -0.02249636882405001, 0.015656276055180083, 0.030333766122788715, -0.12098791491415596, 0.09945530527294046, 0.27357823269941456, 0.044040430152629755, 0.2518983384162733, -0.3896666997021473, -0.2659883875763271, 0.035913049268945146, 0.18892743715607538, 0.05876808975845939, -0.06612938801508124, -0.2816049421274262, 0.07165466113833756, -0.09195284860594789, -0.17494994217938767, -0.009109160158692337, 0.03988272218010956, 0.0021325145371076538, -0.2342542040008461, 0.057774904649704695, 0.0011683296434944722, 0.0026117209799406006, -0.07367012844557261, -0.06683520207227003, -0.0426478647944949, 0.04812993511852876, 0.007204672494880491, -0.025359825036636124, 0.11806023334970743, -0.13234764119154466, -0.04451388529504606, 0.3954345943610661, -0.0580980704086492, -0.23562056881307467, 0.09440267396659204, -0.17667346469392126, 0.03042409601394178, 0.1817349573006717, 0.18616471548064997, 0.07918057171627879, -0.09122768579627297, 0.11122197033084998, -0.05692254181769563, 0.1965786591527143, 0.1905860578039343, 0.057326165993311785, 0.2184890826210016, 0.1357895172791692, 0.04194302511225432, 0.15823256312415185, -0.05736293723216144, -0.004366773470282191, -0.29759219729500574, -0.13461828554367147, -0.18813319708804158, -0.009252295420482391, -0.12187656692744563, -0.23019552689113812, 0.41035676905998913, 0.05045974609248976, 0.1641653142074441, 0.007571736350655556, 0.24307769080822741, 0.17303036918818224, 0.07563581326749266, 0.1042571810255872, 0.30023934095870797, 0.18711866169781766, 0.0817186294120691, -0.237156195514949, 0.007592334678941747, -0.005858664747282136] |
710.5559 | S@M, a Mathematica Implementation of the Spinor-Helicity Formalism | In this paper we present the package S@M (Spinors@Mathematica) which
implements the spinor-helicity formalism in Mathematica. The package allows the
use of complex-spinor algebra along with the multi-purpose features of
Mathematica. The package defines the spinor objects with their basic properties
along with functions to manipulate them. It also offers the possibility of
evaluating the spinorial objects numerically at every computational step. The
package is therefore well suited to be used in the context of on-shell
technology, in particular for the evaluation of scattering amplitudes at tree-
and loop-level.
| hep-ph | in this paper we present the package sm spinorsmathematica which implements the spinorhelicity formalism in mathematica the package allows the use of complexspinor algebra along with the multipurpose features of mathematica the package defines the spinor objects with their basic properties along with functions to manipulate them it also offers the possibility of evaluating the spinorial objects numerically at every computational step the package is therefore well suited to be used in the context of onshell technology in particular for the evaluation of scattering amplitudes at tree and looplevel | [['in', 'this', 'paper', 'we', 'present', 'the', 'package', 'sm', 'spinorsmathematica', 'which', 'implements', 'the', 'spinorhelicity', 'formalism', 'in', 'mathematica', 'the', 'package', 'allows', 'the', 'use', 'of', 'complexspinor', 'algebra', 'along', 'with', 'the', 'multipurpose', 'features', 'of', 'mathematica', 'the', 'package', 'defines', 'the', 'spinor', 'objects', 'with', 'their', 'basic', 'properties', 'along', 'with', 'functions', 'to', 'manipulate', 'them', 'it', 'also', 'offers', 'the', 'possibility', 'of', 'evaluating', 'the', 'spinorial', 'objects', 'numerically', 'at', 'every', 'computational', 'step', 'the', 'package', 'is', 'therefore', 'well', 'suited', 'to', 'be', 'used', 'in', 'the', 'context', 'of', 'onshell', 'technology', 'in', 'particular', 'for', 'the', 'evaluation', 'of', 'scattering', 'amplitudes', 'at', 'tree', 'and', 'looplevel']] | [-0.057769180907086395, 0.06894252508953642, -0.09971960682165006, 0.06829425496659403, -0.11391361335549376, -0.13280733608394518, -0.026677082647333972, 0.3894253757236333, -0.276665318650247, -0.2997895325052327, 0.03341759753081648, -0.24106115111616178, -0.16193960322035028, 0.20504119451660877, 0.005831712273474054, 0.06741420196733255, 0.07491243748133466, 0.019013178673968918, -0.0700007558361381, -0.23307838968547254, 0.3043861520187608, 0.10669790112531219, 0.22841997880317355, 0.052759069719234074, 0.10975993977559881, 0.08225276458730128, -0.08362860746926563, -0.05482603245596776, -0.11520898044002297, 0.15536815764104156, 0.2897776674864621, 0.17393194021250324, 0.1805059473490578, -0.3918728846879328, -0.09557072340842636, 0.012823476931133747, 0.1768623025038804, 0.1195511905628326, -0.0019443282836127556, -0.25854362817160015, 0.06627295580532017, -0.20293932036635862, -0.1993428737610236, -0.12515409397303887, 0.006408033544604464, -0.04509217859427819, -0.21903315718531952, -0.015325837006227744, -0.030344083614850782, 0.06153433923556031, 0.011401435268652123, -0.09479246902996781, -0.026259344646535898, 0.12119147319603583, 0.015226575329193267, 0.036290918412650454, 0.10537809276439507, -0.11281998448833909, -0.11698450490661051, 0.3879516747828316, -0.05881057659581561, -0.23228009145749712, 0.173465458676219, -0.10129851318531852, -0.19700599660753706, 0.08934666408258009, 0.16041773514843535, 0.13437421794381293, -0.1928901175229714, 0.19512831856932855, 0.023222072173081254, 0.09785080013860917, 0.03350185582564137, 0.03259566690687133, 0.2220703914932821, 0.16360815654872735, -0.03932464212693017, 0.19315510191125046, -0.04929394296125573, -0.06681257217116225, -0.3713429193815281, -0.22128840571711136, -0.10303839371036524, -0.061435494100910495, -0.0615794682423999, -0.17694313932831088, 0.4363978582316603, 0.2163536868582683, 0.10843577080716689, 0.057218830584248676, 0.3338392948967287, 0.09860912122731579, 0.13791536512228006, 0.11011457604880648, 0.16393366133547976, 0.12321218296660688, 0.12806773289567094, -0.20811678562848562, 0.015893984238092584, 0.08088833077585902] |
710.556 | Principal Component Analysis of the Time- and Position-Dependent Point
Spread Function of the Advanced Camera for Surveys | We describe the time- and position-dependent point spread function (PSF)
variation of the Wide Field Channel (WFC) of the Advanced Camera for Surveys
(ACS) with the principal component analysis (PCA) technique. The time-dependent
change is caused by the temporal variation of the $HST$ focus whereas the
position-dependent PSF variation in ACS/WFC at a given focus is mainly the
result of changes in aberrations and charge diffusion across the detector,
which appear as position-dependent changes in elongation of the astigmatic core
and blurring of the PSF, respectively. Using >400 archival images of star
cluster fields, we construct a ACS PSF library covering diverse environments of
the $HST$ observations (e.g., focus values). We find that interpolation of a
small number ($\sim20$) of principal components or ``eigen-PSFs'' per exposure
can robustly reproduce the observed variation of the ellipticity and size of
the PSF. Our primary interest in this investigation is the application of this
PSF library to precision weak-lensing analyses, where accurate knowledge of the
instrument's PSF is crucial. However, the high-fidelity of the model judged
from the nice agreement with observed PSFs suggests that the model is
potentially also useful in other applications such as crowded field stellar
photometry, galaxy profile fitting, AGN studies, etc., which similarly demand a
fair knowledge of the PSFs at objects' locations. Our PSF models, applicable to
any WFC image rectified with the Lanczos3 kernel, are publicly available.
| astro-ph | we describe the time and positiondependent point spread function psf variation of the wide field channel wfc of the advanced camera for surveys acs with the principal component analysis pca technique the timedependent change is caused by the temporal variation of the hst focus whereas the positiondependent psf variation in acswfc at a given focus is mainly the result of changes in aberrations and charge diffusion across the detector which appear as positiondependent changes in elongation of the astigmatic core and blurring of the psf respectively using 400 archival images of star cluster fields we construct a acs psf library covering diverse environments of the hst observations eg focus values we find that interpolation of a small number sim20 of principal components or eigenpsfs per exposure can robustly reproduce the observed variation of the ellipticity and size of the psf our primary interest in this investigation is the application of this psf library to precision weaklensing analyses where accurate knowledge of the instruments psf is crucial however the highfidelity of the model judged from the nice agreement with observed psfs suggests that the model is potentially also useful in other applications such as crowded field stellar photometry galaxy profile fitting agn studies etc which similarly demand a fair knowledge of the psfs at objects locations our psf models applicable to any wfc image rectified with the lanczos3 kernel are publicly available | [['we', 'describe', 'the', 'time', 'and', 'positiondependent', 'point', 'spread', 'function', 'psf', 'variation', 'of', 'the', 'wide', 'field', 'channel', 'wfc', 'of', 'the', 'advanced', 'camera', 'for', 'surveys', 'acs', 'with', 'the', 'principal', 'component', 'analysis', 'pca', 'technique', 'the', 'timedependent', 'change', 'is', 'caused', 'by', 'the', 'temporal', 'variation', 'of', 'the', 'hst', 'focus', 'whereas', 'the', 'positiondependent', 'psf', 'variation', 'in', 'acswfc', 'at', 'a', 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710.5561 | Progress in finite temperature lattice QCD | I review recent progress in finite temperature lattice calculations,
including the determination of the transition temperature, equation of state,
screening of static quarks and meson spectral functions.
| nucl-th | i review recent progress in finite temperature lattice calculations including the determination of the transition temperature equation of state screening of static quarks and meson spectral functions | [['i', 'review', 'recent', 'progress', 'in', 'finite', 'temperature', 'lattice', 'calculations', 'including', 'the', 'determination', 'of', 'the', 'transition', 'temperature', 'equation', 'of', 'state', 'screening', 'of', 'static', 'quarks', 'and', 'meson', 'spectral', 'functions']] | [-0.07543409498477424, 0.26715231114239607, -0.08108924556937483, -0.01944224053510913, -0.0444862036448386, -0.09998412057757378, 0.09964475511676735, 0.3534246340945915, -0.16626698323697955, -0.20104590196300437, 0.0347934607890676, -0.3381827852378289, -0.0193056708926128, 0.04180684139848583, 0.12000307537339351, 0.12133905898641657, 0.048883314071981994, -0.013119225562722594, -0.19245996074406085, -0.20292059560220135, 0.36985571151254354, -0.021981072042965226, 0.2928564943097256, 0.2502953056935911, 0.012128149978471574, 0.045181505071620144, -0.06416549797480305, 0.003410533730251094, -0.19201093981111492, 0.017350976044933002, 0.21154485573923146, 0.052929777238104075, 0.17495164701163216, -0.40793690526926957, -0.24952940478989924, 0.029748435675476987, 0.10697362211498397, 0.17463254100746578, -0.08453086256566975, -0.23437642885579002, -0.0030690280513630975, -0.20925129932799824, -0.17681566018749167, -0.15344786561197704, 0.052248980280839734, 0.013146949587044892, -0.23593973575366867, 0.11125051492342243, -0.009833559471492967, 0.11929607695519398, -0.13227823383554263, -0.27114597457909473, 0.015299209134860171, 0.05377577886813217, 0.08317409973177645, 0.11618488695024064, 0.136016717042636, -0.2178416677095272, -0.11725019587686768, 0.3906084831321129, -0.10526467138832366, -0.0662679054895071, 0.1351383793409224, -0.20220109892802107, -0.11860355358846762, 0.1096870509683396, 0.16880741453281156, 0.14097699879979095, -0.15135823531697193, 0.14455158608163604, 0.020480219136785577, 0.15303398779144994, 0.013527529555614348, 0.09004459192079527, 0.19741855637618788, 0.2061520922170193, -0.06554218995626326, 0.059760900835196175, -0.012077284217984588, -0.16146585227990592, -0.329523467493278, -0.09131617747523167, -0.17443609223873527, 0.0925343199805529, -0.11781971272096227, -0.2494220313857551, 0.4524653275255804, 0.1366038797940645, 0.1680243879004761, -0.050006522693567805, 0.26879142185121224, 0.12600422409121637, 0.004739826234678428, 0.03555314504989871, 0.22333999164402485, 0.26858216151595116, 0.1602430030427597, -0.3537067510187626, -0.01219875642736615, 0.12724497883270183] |
710.5562 | On measure-preserving ${\mathcal C}^1$ transformations of compact-open
subsets of non-archimedean local fields | We introduce the notion of a \emph{locally scaling} transformation defined on
a compact-open subset of a non-archimedean local field. We show that this class
encompasses the Haar measure-preserving transformations defined by ${\mathcal
C}^1$ (in particular, polynomial) maps, and prove a structure theorem for
locally scaling transformations. We use the theory of polynomial approximation
on compact-open subsets of non-archimedean local fields to demonstrate the
existence of ergodic Markov, and mixing Markov transformations defined by such
polynomial maps. We also give simple sufficient conditions on the Mahler
expansion of a continuous map $\mathbb Z_p \to \mathbb Z_p$ for it to define a
Bernoulli transformation.
| math.DS | we introduce the notion of a emphlocally scaling transformation defined on a compactopen subset of a nonarchimedean local field we show that this class encompasses the haar measurepreserving transformations defined by mathcal c1 in particular polynomial maps and prove a structure theorem for locally scaling transformations we use the theory of polynomial approximation on compactopen subsets of nonarchimedean local fields to demonstrate the existence of ergodic markov and mixing markov transformations defined by such polynomial maps we also give simple sufficient conditions on the mahler expansion of a continuous map mathbb z_p to mathbb z_p for it to define a bernoulli transformation | [['we', 'introduce', 'the', 'notion', 'of', 'a', 'emphlocally', 'scaling', 'transformation', 'defined', 'on', 'a', 'compactopen', 'subset', 'of', 'a', 'nonarchimedean', 'local', 'field', 'we', 'show', 'that', 'this', 'class', 'encompasses', 'the', 'haar', 'measurepreserving', 'transformations', 'defined', 'by', 'mathcal', 'c1', 'in', 'particular', 'polynomial', 'maps', 'and', 'prove', 'a', 'structure', 'theorem', 'for', 'locally', 'scaling', 'transformations', 'we', 'use', 'the', 'theory', 'of', 'polynomial', 'approximation', 'on', 'compactopen', 'subsets', 'of', 'nonarchimedean', 'local', 'fields', 'to', 'demonstrate', 'the', 'existence', 'of', 'ergodic', 'markov', 'and', 'mixing', 'markov', 'transformations', 'defined', 'by', 'such', 'polynomial', 'maps', 'we', 'also', 'give', 'simple', 'sufficient', 'conditions', 'on', 'the', 'mahler', 'expansion', 'of', 'a', 'continuous', 'map', 'mathbb', 'z_p', 'to', 'mathbb', 'z_p', 'for', 'it', 'to', 'define', 'a', 'bernoulli', 'transformation']] | [-0.19219890756842992, 0.09368441163963985, -0.10589945474730841, 0.06856131694603748, -0.07186824344235528, -0.0850740688825574, 0.03967074353097226, 0.35888239514886167, -0.3805993813016981, -0.1437351045189608, 0.07359288725887846, -0.2012025071490629, -0.17562166539331278, 0.1827670146583342, -0.12282231526321494, 0.04767933142754961, -0.046370732223651574, 0.07719251068820264, -0.15149950544468546, -0.27847840587435035, 0.36230838648043573, -0.06728516950034628, 0.2587585606995751, -0.0001756065826424781, 0.18711977003041802, 0.013847666637351116, -0.05326728286522934, 0.007399951735529683, -0.20022962512894973, 0.06675831588240815, 0.24674933347805386, 0.14375030171975275, 0.2532138687343903, -0.34211820122950215, -0.17059002121380878, 0.23229357963610514, 0.0916288995409987, -0.03220797192497069, -0.036987217746939804, -0.3435858839154974, 0.06846856342299897, -0.13030785930288188, -0.13386819740145595, -0.15020658451990754, 0.04454402443062624, 0.06351221536340959, -0.3414852212841723, -0.011545691582189951, 0.11904750175102997, 0.1542982692583738, -0.050451718997803756, 0.005243705549076491, -0.01860264045735319, 0.04151696386728801, -0.046777706092803316, 0.13325423134180406, 0.13895476771993379, -0.0032136833007611774, -0.09670898795821796, 0.3697897055569817, -0.12689846727595316, -0.2770197930901001, 0.14647141399373317, -0.18011770294248766, -0.2572496824112593, 0.06624289858154953, 0.13070121618882552, 0.13610708015039563, -0.07605479520747858, 0.23352309095321735, -0.14827585580083086, 0.07877976305819318, 0.0754991307507689, 0.030877781972544743, 0.09995542930475637, 0.034413565363388, 0.16883272608267327, 0.1875284310275068, 0.05549842628476886, -0.08325749770829491, -0.36073845515356345, -0.151646648752777, -0.1525039796822467, 0.1557872500179299, -0.14683605762462215, -0.23914545439366325, 0.3796569997554316, 0.10071503013536773, 0.16302446565389925, 0.21012987024333402, 0.16765251013167276, 0.10958811906154961, 0.02507527866948615, 0.07140172546839013, 0.04949840654929479, 0.21491988538764417, -0.019593576174777222, -0.13294493993196418, 0.0027161166984953134, 0.24211546594697034] |
710.5563 | The Omega Effect as a Discriminant for Space-Time Foam | If there is CPT violation, the nature of entanglement for neutral meson pairs
produced in meson factories may, on general grounds, be affected. The new form
of entanglement is the omega effect. Gravitational decoherence, due to
space-time foam, may be one route for deviations from CPT invariance. Two
models of space-time foam are considered. One, based on non-critical string
theory, is able to produce the new correlations in a natural way. The other,
based on the paradigm of thermal-like baths, is shown to be surprisingly
resistant to producing the effect even on exercising a total freedom of choice
for the state of the bath
| hep-ph | if there is cpt violation the nature of entanglement for neutral meson pairs produced in meson factories may on general grounds be affected the new form of entanglement is the omega effect gravitational decoherence due to spacetime foam may be one route for deviations from cpt invariance two models of spacetime foam are considered one based on noncritical string theory is able to produce the new correlations in a natural way the other based on the paradigm of thermallike baths is shown to be surprisingly resistant to producing the effect even on exercising a total freedom of choice for the state of the bath | [['if', 'there', 'is', 'cpt', 'violation', 'the', 'nature', 'of', 'entanglement', 'for', 'neutral', 'meson', 'pairs', 'produced', 'in', 'meson', 'factories', 'may', 'on', 'general', 'grounds', 'be', 'affected', 'the', 'new', 'form', 'of', 'entanglement', 'is', 'the', 'omega', 'effect', 'gravitational', 'decoherence', 'due', 'to', 'spacetime', 'foam', 'may', 'be', 'one', 'route', 'for', 'deviations', 'from', 'cpt', 'invariance', 'two', 'models', 'of', 'spacetime', 'foam', 'are', 'considered', 'one', 'based', 'on', 'noncritical', 'string', 'theory', 'is', 'able', 'to', 'produce', 'the', 'new', 'correlations', 'in', 'a', 'natural', 'way', 'the', 'other', 'based', 'on', 'the', 'paradigm', 'of', 'thermallike', 'baths', 'is', 'shown', 'to', 'be', 'surprisingly', 'resistant', 'to', 'producing', 'the', 'effect', 'even', 'on', 'exercising', 'a', 'total', 'freedom', 'of', 'choice', 'for', 'the', 'state', 'of', 'the', 'bath']] | [-0.1226244738332193, 0.24295901619972518, -0.13355890192234746, 0.11295717306739579, -0.08856594786406137, -0.1940427836200867, 0.03750236057161461, 0.2859695379873021, -0.22394809074019298, -0.22736169001123366, 0.048269135029001445, -0.2961695916735782, -0.09132341985017635, 0.20052600480826535, -0.034325308470915146, 0.01848948398569169, 0.008793834221880669, 0.06341543053993239, -0.00785899642505683, -0.2168688814607986, 0.3305902737327135, 0.04955212284515325, 0.3022427895339206, 0.09636261440643396, 0.06896402627283421, -0.02873370525552533, 0.007702376854677613, 0.02241063083951863, -0.052807572127606436, 0.08422549721525194, 0.19079286200509998, 0.12245013126476596, 0.17730849829072562, -0.4432757951032657, -0.2215687207555255, 0.1320182705262246, 0.092414914694158, 0.17916551338007244, -0.05417860554567037, -0.3035552665443482, 0.03292066409127214, -0.16139385993077526, -0.1425381713331892, -0.09252566571992177, 0.04347205459355162, -0.09151299647055566, -0.27398111424498406, 0.11542157408817169, 0.025601205577773865, 0.009016348768804723, -0.00409932687986069, -0.07977942328859801, 2.8452352405740667e-06, 0.08513509346420715, 0.07971435428547781, 0.04768967038790624, 0.17109170500323392, -0.12073575028066094, -0.13485597289847925, 0.4345713515873425, -0.06814816211744283, -0.25995157945614594, 0.19705265181479403, -0.1589168332149991, -0.14544949632881282, 0.08771420336919479, 0.14318019641639415, 0.09472186370952002, -0.18190180122529945, 0.06790273840754078, -0.002989591703226324, 0.1586761449568887, 0.08451592565352957, 0.13212053644159683, 0.2600078175444371, 0.134539873594454, 0.06522583404484276, 0.13230450766982707, -0.0353599101340828, -0.12355171223260605, -0.32996695616748184, -0.12560722005302802, -0.16690096800000623, 0.11827893885268938, -0.0666870488292681, -0.1121889644292913, 0.36429563274633925, 0.11994922540011779, 0.14138193847611547, -0.016273933292653125, 0.24653018784458533, 0.09337032958529352, 0.08908967112522358, 0.058674041396723345, 0.2900881483756865, 0.14282730697260165, 0.06347607403026465, -0.25802515050432145, 0.09209338573810573, 0.03762392305697386] |
710.5564 | High-Level Correlated Approach to the Jellium Surface Energy, Without
Uniform-Electron-Gas Input | We resolve the long-standing controversy over the surface energy of simple
metals: Density functional methods that require uniform-electron-gas input
agree with each other at many levels of sophistication, but not with high-level
correlated calculations like Fermi Hypernetted Chain and Diffusion Monte Carlo
(DMC) that predict the uniform-gas correlation energy. Here we apply a very
high-level correlated approach, the inhomogeneous Singwi-Tosi-Land-Sj\"olander
(ISTLS) method, and find that the density functionals are indeed reliable
(because the surface energy is "bulk-like"). ISTLS values are close to
recently-revised DMC values. Our work also vindicates the previously-disputed
use of uniform-gas-based nonlocal kernels in time-dependent density functional
theory.
| cond-mat.mtrl-sci | we resolve the longstanding controversy over the surface energy of simple metals density functional methods that require uniformelectrongas input agree with each other at many levels of sophistication but not with highlevel correlated calculations like fermi hypernetted chain and diffusion monte carlo dmc that predict the uniformgas correlation energy here we apply a very highlevel correlated approach the inhomogeneous singwitosilandsjolander istls method and find that the density functionals are indeed reliable because the surface energy is bulklike istls values are close to recentlyrevised dmc values our work also vindicates the previouslydisputed use of uniformgasbased nonlocal kernels in timedependent density functional theory | [['we', 'resolve', 'the', 'longstanding', 'controversy', 'over', 'the', 'surface', 'energy', 'of', 'simple', 'metals', 'density', 'functional', 'methods', 'that', 'require', 'uniformelectrongas', 'input', 'agree', 'with', 'each', 'other', 'at', 'many', 'levels', 'of', 'sophistication', 'but', 'not', 'with', 'highlevel', 'correlated', 'calculations', 'like', 'fermi', 'hypernetted', 'chain', 'and', 'diffusion', 'monte', 'carlo', 'dmc', 'that', 'predict', 'the', 'uniformgas', 'correlation', 'energy', 'here', 'we', 'apply', 'a', 'very', 'highlevel', 'correlated', 'approach', 'the', 'inhomogeneous', 'singwitosilandsjolander', 'istls', 'method', 'and', 'find', 'that', 'the', 'density', 'functionals', 'are', 'indeed', 'reliable', 'because', 'the', 'surface', 'energy', 'is', 'bulklike', 'istls', 'values', 'are', 'close', 'to', 'recentlyrevised', 'dmc', 'values', 'our', 'work', 'also', 'vindicates', 'the', 'previouslydisputed', 'use', 'of', 'uniformgasbased', 'nonlocal', 'kernels', 'in', 'timedependent', 'density', 'functional', 'theory']] | [-0.045546725596368465, 0.1111916378212459, -0.10446308099079071, 0.13684740653813615, -0.009571540087807117, -0.15188727352633766, 0.035666690648475795, 0.42852797987150776, -0.26027453349442364, -0.3447079447520532, 0.0001214706307737944, -0.30337820020648315, -0.13289348126302675, 0.1650963062540503, 0.016082036121719583, 0.05891674980983263, 0.09509364308155689, 0.0006342080527359678, -0.14867905473466195, -0.1979465064467843, 0.2927123552293891, 0.10016571310800068, 0.28403572194259036, 0.08345304071403963, 0.03667717845150337, 0.0017983474738019177, 0.005848061010126293, 0.03680124127104418, -0.16888105714585352, 0.13478735079252616, 0.2864712570918743, -0.01688718080962288, 0.2700070168477358, -0.4847856309341708, -0.2776473766941692, 0.03482893845738517, 0.06253773477120497, 0.14006368585468568, -0.029804563409043958, -0.2186730317339378, 0.02157622358771329, -0.18984416396040277, -0.12174417676653751, -0.15849494105973042, -0.03463589125456884, 0.07836190983173005, -0.21643585010345295, 0.15258223967375859, -0.03388072241136094, 0.02052429795783366, -0.09327172938513464, -0.15895504660582765, -0.05100387774801515, 0.08877748784791563, 0.021793601471575497, 0.07208702778059643, 0.15031277609163338, -0.09067509626278404, -0.06413258910635199, 0.3189691324075012, -0.07596313303394109, -0.18535634738959603, 0.22072069010860526, -0.13484544515340907, -0.17977877996247454, 0.18847824188582984, 0.09018922225720988, 0.10204263072528098, -0.12769992687480197, 0.11390376696243076, -0.01973379269775157, 0.19893681501355215, -0.00017547543093408507, 0.03189706849894419, 0.1746707851542448, 0.11888142859415612, 0.04531796125769519, 0.016971666539284717, -0.1153995917015469, -0.16227811578536386, -0.26337728602331634, -0.14567093527155747, -0.23583307161869616, 0.019161406378939833, -0.05026242689597996, -0.2136934407093783, 0.3319382240093246, 0.20486102102549733, 0.1501782414102543, 0.08457022507857416, 0.27035384487418324, 0.14053906770045005, 0.043148727093813656, 0.11009793710827674, 0.16146238803498678, 0.14207517698745617, 0.041016691079910496, -0.24717937552456543, 0.08826765197583657, 0.02578694196465934] |
710.5565 | A Note on $\aleph_{0}$-injective Rings | A ring $R$ is called right $\aleph_{0}$-injective if every homomorphism from
a countably generated right ideal of $R$ to $R_{R}$ can be extended to a
homomorphism from $R_{R}$ to $R_{R}$. In this note, some characterizations of
$\aleph_{0}$-injective rings are given. It is proved that if $R$ is semilocal,
then $R$ is right $\aleph_{0}$-injective if and only if every homomorphism from
a countably generated small right ideal of $R$ to $R_{R}$ can be extended to
one from $R_{R}$ to $R_{R}$. It is also shown that if $R$ is right noetherian
and left $\aleph_{0}$-injective, then $R$ is \emph{QF}. This result can be
considered as an approach to the Faith-Menal conjecture.
| math.RA | a ring r is called right aleph_0injective if every homomorphism from a countably generated right ideal of r to r_r can be extended to a homomorphism from r_r to r_r in this note some characterizations of aleph_0injective rings are given it is proved that if r is semilocal then r is right aleph_0injective if and only if every homomorphism from a countably generated small right ideal of r to r_r can be extended to one from r_r to r_r it is also shown that if r is right noetherian and left aleph_0injective then r is emphqf this result can be considered as an approach to the faithmenal conjecture | [['a', 'ring', 'r', 'is', 'called', 'right', 'aleph_0injective', 'if', 'every', 'homomorphism', 'from', 'a', 'countably', 'generated', 'right', 'ideal', 'of', 'r', 'to', 'r_r', 'can', 'be', 'extended', 'to', 'a', 'homomorphism', 'from', 'r_r', 'to', 'r_r', 'in', 'this', 'note', 'some', 'characterizations', 'of', 'aleph_0injective', 'rings', 'are', 'given', 'it', 'is', 'proved', 'that', 'if', 'r', 'is', 'semilocal', 'then', 'r', 'is', 'right', 'aleph_0injective', 'if', 'and', 'only', 'if', 'every', 'homomorphism', 'from', 'a', 'countably', 'generated', 'small', 'right', 'ideal', 'of', 'r', 'to', 'r_r', 'can', 'be', 'extended', 'to', 'one', 'from', 'r_r', 'to', 'r_r', 'it', 'is', 'also', 'shown', 'that', 'if', 'r', 'is', 'right', 'noetherian', 'and', 'left', 'aleph_0injective', 'then', 'r', 'is', 'emphqf', 'this', 'result', 'can', 'be', 'considered', 'as', 'an', 'approach', 'to', 'the', 'faithmenal', 'conjecture']] | [-0.12206328593365813, 0.0901873439808765, -0.11213857768419778, 0.006675671053531949, -0.08903205604731755, -0.2799645483774959, -0.09290190691673109, 0.39419866268927195, -0.44745737953849557, -0.12368053008081778, 0.17491482487189988, -0.30023678061596276, -0.042879873469366496, 0.17496498796719848, -0.1463876880336342, -0.13993591548136944, 0.024834529795455484, 0.16191476927894466, -0.019326080313338986, -0.2789278068351296, 0.24554582532354682, 0.0037437336572076914, 0.06744355949977378, 0.08552953565739235, 0.05887448258768275, -0.06937310626326164, 0.029407716663730033, 0.05266102088861308, -0.17367371595709008, 0.042439965812383955, 0.30313085284927543, 0.1556049815493302, 0.2649762109976332, -0.32073925111941415, -0.05406338121645363, 0.2260643307268971, 0.1676898463167918, -0.0401891051036007, 0.00039802510115616725, -0.25597223836296007, 0.28602583561848216, -0.2592280601801456, -0.07981700561764948, -0.0053955959068294965, 0.1879047213192537, -0.02300989976644797, -0.39042009342953843, -0.013640253701662417, 0.11392194724132149, 0.01793673039712715, 0.032639440689411645, -0.040090646489330056, -0.1096434562098024, 0.04548886362551097, 0.0057756732995534, 0.11837956119539603, 0.09008405200218922, -0.024623455079975275, -0.010495483163603634, 0.4050948937546532, -0.06591333247686051, -0.21163072308771452, 0.14209096383233116, -0.20739845187350545, -0.08231411193813777, 0.08146357017059652, -0.05527452144437944, 0.15617925728196805, -0.06248153904277199, 0.2359393901830838, -0.19838294584550104, 0.179851395728172, 0.12550005565819172, -0.009458538926786409, 0.2121281715918262, 0.046788519375764254, 0.13572722977002036, 0.10138875277348319, 0.016375323713598948, 0.09716971035396575, -0.35139439437749254, -0.14547295704756355, -0.2232481083516383, 0.14820674139380846, -0.034512266810744, -0.08965484990451687, 0.33085308554318715, 0.13959403064119508, 0.17363380196170425, 0.05088736602755369, 0.24579186689214044, 0.06647148062277339, 0.06852801205625511, 0.11216952530930768, 0.10657079972657331, 0.16272089828930372, -0.06730523311866904, -0.046299156651586154, -0.009887780822848654, 0.14289396860689488] |
710.5566 | An infinite dimensional Schur-Horn theorem and majorization theory with
applications to operator ideals | The main result of this paper is the extension of the Schur-Horn Theorem to
infinite sequences: For two nonincreasing nonsummable sequences x and y that
converge to 0, there exists a compact operator A with eigenvalue list y and
diagonal sequence x if and only if y majorizes x (\sum_{j=1}^n x_j \le
\sum_{j=1}^n y_j for all n) if and only if x = Qy for some orthostochastic
matrix Q. The similar result requiring equality of the infinite series in the
case that the sequences x and y are summable is an extension of a recent
theorem by Arveson and Kadison. Our proof depends on the construction and
analysis of an infinite product of T-transform matrices. Further results on
majorization for infinite sequences providing "intermediate" sequences
generalize known results from the finite case. Majorization properties and
invariance under various classes of stochastic matrices are then used to
characterize arithmetic mean closed operator ideals.
| math.OA math.FA | the main result of this paper is the extension of the schurhorn theorem to infinite sequences for two nonincreasing nonsummable sequences x and y that converge to 0 there exists a compact operator a with eigenvalue list y and diagonal sequence x if and only if y majorizes x sum_j1n x_j le sum_j1n y_j for all n if and only if x qy for some orthostochastic matrix q the similar result requiring equality of the infinite series in the case that the sequences x and y are summable is an extension of a recent theorem by arveson and kadison our proof depends on the construction and analysis of an infinite product of ttransform matrices further results on majorization for infinite sequences providing intermediate sequences generalize known results from the finite case majorization properties and invariance under various classes of stochastic matrices are then used to characterize arithmetic mean closed operator ideals | [['the', 'main', 'result', 'of', 'this', 'paper', 'is', 'the', 'extension', 'of', 'the', 'schurhorn', 'theorem', 'to', 'infinite', 'sequences', 'for', 'two', 'nonincreasing', 'nonsummable', 'sequences', 'x', 'and', 'y', 'that', 'converge', 'to', '0', 'there', 'exists', 'a', 'compact', 'operator', 'a', 'with', 'eigenvalue', 'list', 'y', 'and', 'diagonal', 'sequence', 'x', 'if', 'and', 'only', 'if', 'y', 'majorizes', 'x', 'sum_j1n', 'x_j', 'le', 'sum_j1n', 'y_j', 'for', 'all', 'n', 'if', 'and', 'only', 'if', 'x', 'qy', 'for', 'some', 'orthostochastic', 'matrix', 'q', 'the', 'similar', 'result', 'requiring', 'equality', 'of', 'the', 'infinite', 'series', 'in', 'the', 'case', 'that', 'the', 'sequences', 'x', 'and', 'y', 'are', 'summable', 'is', 'an', 'extension', 'of', 'a', 'recent', 'theorem', 'by', 'arveson', 'and', 'kadison', 'our', 'proof', 'depends', 'on', 'the', 'construction', 'and', 'analysis', 'of', 'an', 'infinite', 'product', 'of', 'ttransform', 'matrices', 'further', 'results', 'on', 'majorization', 'for', 'infinite', 'sequences', 'providing', 'intermediate', 'sequences', 'generalize', 'known', 'results', 'from', 'the', 'finite', 'case', 'majorization', 'properties', 'and', 'invariance', 'under', 'various', 'classes', 'of', 'stochastic', 'matrices', 'are', 'then', 'used', 'to', 'characterize', 'arithmetic', 'mean', 'closed', 'operator', 'ideals']] | [-0.1435556290547053, 0.12652259913137337, -0.06398588990326971, 0.07442556551735227, -0.010526330042630434, -0.17044597713276743, 0.030344708557240665, 0.35934623546898364, -0.32200350283955537, -0.1762613953401645, 0.1282862112383979, -0.32206448948631683, -0.11302173726881544, 0.18167186730230847, -0.11383417822731037, 0.018927911024075, 0.05847738225478679, 0.09350318809350332, -0.11365171126400431, -0.28714695709447063, 0.34536213665579757, -0.0834659293293953, 0.19097133977959554, 0.030276912819050872, 0.14577571026049554, 0.060466031273050856, -0.01108660051599145, -0.04511730930147072, -0.145736489391129, 0.08566964836325497, 0.27478472708414, 0.1392140449769795, 0.2622380083613098, -0.3176663308093945, -0.10829551550540296, 0.21964896274497733, 0.13941035672537205, -0.040757393586294106, -0.019652123496246836, -0.2467501920182258, 0.16397661540812503, -0.12215889152217035, -0.12213926599981884, -0.0691979583678767, 0.09494077757311364, 0.07641371207001309, -0.34926503888331356, 0.023474668504204602, 0.19229496103400986, 0.05481336656336983, -0.025038585411384703, -0.18484349091071636, -0.033718053989578035, 0.0927151261176914, 0.04451777853692571, 0.07332143701302508, 0.03363062376777331, -0.0030575456749647855, -0.08193600811064243, 0.2875753183476627, -0.06416676214585702, -0.2496191506367177, 0.11391427182592452, -0.18025671798425416, -0.18684611284174024, 0.09543552610091866, 0.055708987079560755, 0.17312079712748527, -0.057522808133314056, 0.20049255567602814, -0.13432654431710642, 0.14441538094853362, 0.11133099323759477, 0.05326205499470234, 0.08406694335862994, 0.039409338850528004, 0.11007268943940289, 0.10710784158358971, 0.036483130222186445, -0.022257219798242054, -0.36090354261919855, -0.1558235746018666, -0.20037941162552064, 0.14026039078598843, -0.1456121610190409, -0.18356526451806227, 0.3281935548161467, 0.08698306517365079, 0.1864019993133843, 0.12132698458308976, 0.20700588395275796, 0.09115513981242354, -0.03876509578665718, 0.06868722180525462, 0.058467684609543845, 0.23768733178731055, 0.028729974437737837, -0.13334405626635998, 0.041582941466476765, 0.18908378147985785] |
710.5567 | A chain rule for Goodwillie derivatives of functors from spectra to
spectra | We prove a chain rule for the Goodwillie calculus of functors from spectra to
spectra. We show that the (higher) derivatives of a composite functor $FG$ at a
base object $X$ are given by taking the composition product (in the sense of
symmetric sequences) of the derivatives of $F$ at $G(X)$ with the derivatives
of $G$ at $X$. We also consider the question of finding $P_n(FG)$, and give an
explicit formula for this when $F$ is homogeneous.
| math.AT | we prove a chain rule for the goodwillie calculus of functors from spectra to spectra we show that the higher derivatives of a composite functor fg at a base object x are given by taking the composition product in the sense of symmetric sequences of the derivatives of f at gx with the derivatives of g at x we also consider the question of finding p_nfg and give an explicit formula for this when f is homogeneous | [['we', 'prove', 'a', 'chain', 'rule', 'for', 'the', 'goodwillie', 'calculus', 'of', 'functors', 'from', 'spectra', 'to', 'spectra', 'we', 'show', 'that', 'the', 'higher', 'derivatives', 'of', 'a', 'composite', 'functor', 'fg', 'at', 'a', 'base', 'object', 'x', 'are', 'given', 'by', 'taking', 'the', 'composition', 'product', 'in', 'the', 'sense', 'of', 'symmetric', 'sequences', 'of', 'the', 'derivatives', 'of', 'f', 'at', 'gx', 'with', 'the', 'derivatives', 'of', 'g', 'at', 'x', 'we', 'also', 'consider', 'the', 'question', 'of', 'finding', 'p_nfg', 'and', 'give', 'an', 'explicit', 'formula', 'for', 'this', 'when', 'f', 'is', 'homogeneous']] | [-0.1428973574902078, 0.04866851396467322, -0.09198994366574641, 0.03164564904076733, -0.0430443271455404, -0.07552132401370297, 0.03746842648098735, 0.38948568907615383, -0.3259215257865818, -0.2460643762453018, 0.06872608090940814, -0.2510437125372271, -0.1036840170425804, 0.16795705448174358, -0.0694549480471515, -0.06094083191189719, 0.043799689845304544, 0.13224745370251567, -0.11001415987266228, -0.24992136500690035, 0.4015064433119015, -0.02330681711043182, 0.17679302758341164, 0.020483810442352767, 0.15194154837119736, -0.007928522285319081, -0.008459090965947038, -0.04722728340053245, -0.15193632761321696, 0.14367528155593104, 0.2605146102386674, 0.07519699870547476, 0.22973997082169118, -0.35645439459844247, -0.1388877241467861, 0.1377295880321119, 0.05473670169809147, 0.008671451568309414, -0.0010265662261333905, -0.24747017964622692, 0.14464863673722567, -0.17381942035679362, -0.1375273342036005, -0.050236889424635785, 0.09144882136330891, 0.05244118967828782, -0.32715662396022754, 0.01595748657947345, 0.10861197023309375, 0.08667211255095408, -0.07158234371730175, -0.12877237062754207, -0.07824437992377697, 0.0896801205622308, 0.020863062299261066, 0.02084196179394463, 0.04991438356228173, -0.11207808637195021, -0.06887844401123737, 0.3579495545280607, -0.13972312005506338, -0.19588245576443641, 0.09445808186980062, -0.20360430709306934, -0.17073007160797715, 0.12828856263015614, 0.06584065048465211, 0.2161486501450111, -0.0756967715456803, 0.17411718643684013, -0.067978253918945, 0.10915738125301064, 0.10540463537051294, 0.01531090319622308, 0.18071136410397134, 0.07202906048194946, 0.06886618718578431, 0.18571911135222763, -0.017103721479591178, 0.0014164186769018048, -0.3632606034608264, -0.2098297691585398, -0.14365824427774274, 0.10378310980128222, -0.09150884215896919, -0.17273308016898992, 0.36432191741799835, 0.07678317251780324, 0.20400660287735886, 0.1297255404489605, 0.2258608192205429, 0.16165314243469192, 0.024326955276161532, 0.031998829542365125, 0.13131185324470462, 0.16224499408609086, 0.05058213997338163, -0.13918527125956884, 0.034340341612206476, 0.15577378742837986] |
710.5568 | Graded identities of matrix algebras and the universal graded algebra | We consider fine G-gradings on M_n(C) (i.e. gradings of the matrix algebra
over the complex numbers where each component is 1 dimensional). Groups which
provide such a grading are known to be solvable. We consider the T-ideal of
G-graded identities and show that it is generated by a special type of binomial
identities which we call elementary. In particular we show that the ideal of
graded identities is finitely generated as a T-ideal. Next, given such grading
we construct a universal algebra U_{G,c} in two different ways: one by means of
polynomial identities and the other one by means of a generic two-cocycle (this
parallels the classical constructions in the non-graded case). We show that a
suitable central localization of U_{G,c} is Azumaya over its center and
moreover, its homomorphic images are precisely the G-graded forms of M_n(C).
Finally, we consider the ring of central quotients Q(U_{G,c}) (this is an
F-central simple algebra where F=Frac(Z) and Z is the center of of U_{G,c}).
Using an earlier results of the authors (see E. Aljadeff, D. Haile and M.
Natapov, Projective bases of division algebras and groups of central type,
Israel J. Math.146 (2005) 317-335 and M. Natapov arXiv:0710.5468v1 [math.RA])
we show that this is a division algebra for a very explicit (and short) family
of nilpotent groups. As a consequence, for groups G such that Q(U_{G,c}) is not
a division algebra, one can find a non identity polynomial p(x_{i,g}) such that
p(x_{i,g})^r is a graded identity for some integer r. We illustrate this
phenomenon with a fine G-grading of M_6(C) where G is a semidirect product of
S_3 and C_6.
| math.RA | we consider fine ggradings on m_nc ie gradings of the matrix algebra over the complex numbers where each component is 1 dimensional groups which provide such a grading are known to be solvable we consider the tideal of ggraded identities and show that it is generated by a special type of binomial identities which we call elementary in particular we show that the ideal of graded identities is finitely generated as a tideal next given such grading we construct a universal algebra u_gc in two different ways one by means of polynomial identities and the other one by means of a generic twococycle this parallels the classical constructions in the nongraded case we show that a suitable central localization of u_gc is azumaya over its center and moreover its homomorphic images are precisely the ggraded forms of m_nc finally we consider the ring of central quotients qu_gc this is an fcentral simple algebra where ffracz and z is the center of of u_gc using an earlier results of the authors see e aljadeff d haile and m natapov projective bases of division algebras and groups of central type israel j math146 2005 317335 and m natapov arxiv07105468v1 mathra we show that this is a division algebra for a very explicit and short family of nilpotent groups as a consequence for groups g such that qu_gc is not a division algebra one can find a non identity polynomial px_ig such that px_igr is a graded identity for some integer r we illustrate this phenomenon with a fine ggrading of m_6c where g is a semidirect product of s_3 and c_6 | [['we', 'consider', 'fine', 'ggradings', 'on', 'm_nc', 'ie', 'gradings', 'of', 'the', 'matrix', 'algebra', 'over', 'the', 'complex', 'numbers', 'where', 'each', 'component', 'is', '1', 'dimensional', 'groups', 'which', 'provide', 'such', 'a', 'grading', 'are', 'known', 'to', 'be', 'solvable', 'we', 'consider', 'the', 'tideal', 'of', 'ggraded', 'identities', 'and', 'show', 'that', 'it', 'is', 'generated', 'by', 'a', 'special', 'type', 'of', 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710.5569 | The Quantum-Classical and Mind-Brain Linkages: The Quantum Zeno Effect
in Binocular Rivalry | A quantum mechanical theory of the relationship between perceptions and brain
dynamics based on von Neumann's theory of measurments is applied to a recent
quantum theoretical treatment of binocular rivaly that makes essential use of
the quantum Zeno effect to give good fits to the complex available empirical
data. The often-made claim that decoherence effects in the warm, wet, noisy
brain must eliminate quantum effects at the macroscopic scale pertaining to
perceptions is examined, and it is argued, on the basis of fundamental
principles. that the usual decoherence effects will not upset the quantum Zeno
effect that is being exploited in the cited work.
| physics.gen-ph | a quantum mechanical theory of the relationship between perceptions and brain dynamics based on von neumanns theory of measurments is applied to a recent quantum theoretical treatment of binocular rivaly that makes essential use of the quantum zeno effect to give good fits to the complex available empirical data the oftenmade claim that decoherence effects in the warm wet noisy brain must eliminate quantum effects at the macroscopic scale pertaining to perceptions is examined and it is argued on the basis of fundamental principles that the usual decoherence effects will not upset the quantum zeno effect that is being exploited in the cited work | [['a', 'quantum', 'mechanical', 'theory', 'of', 'the', 'relationship', 'between', 'perceptions', 'and', 'brain', 'dynamics', 'based', 'on', 'von', 'neumanns', 'theory', 'of', 'measurments', 'is', 'applied', 'to', 'a', 'recent', 'quantum', 'theoretical', 'treatment', 'of', 'binocular', 'rivaly', 'that', 'makes', 'essential', 'use', 'of', 'the', 'quantum', 'zeno', 'effect', 'to', 'give', 'good', 'fits', 'to', 'the', 'complex', 'available', 'empirical', 'data', 'the', 'oftenmade', 'claim', 'that', 'decoherence', 'effects', 'in', 'the', 'warm', 'wet', 'noisy', 'brain', 'must', 'eliminate', 'quantum', 'effects', 'at', 'the', 'macroscopic', 'scale', 'pertaining', 'to', 'perceptions', 'is', 'examined', 'and', 'it', 'is', 'argued', 'on', 'the', 'basis', 'of', 'fundamental', 'principles', 'that', 'the', 'usual', 'decoherence', 'effects', 'will', 'not', 'upset', 'the', 'quantum', 'zeno', 'effect', 'that', 'is', 'being', 'exploited', 'in', 'the', 'cited', 'work']] | [-0.08449629976332766, 0.17089590052079445, -0.16190926305208247, 0.11232010043651156, -0.09496887978075923, -0.13979391517904272, 0.05054596200748121, 0.31444869635319245, -0.24064298341665596, -0.24775734332218333, 0.05635340677492899, -0.2744824532238604, -0.2037586997380679, 0.1966827495331035, -0.11960405527243337, 0.08063816105567136, 0.06037014370639492, 0.03792424349891908, -0.02835011415780314, -0.25299785356715465, 0.3029527374977264, 0.10024441365328916, 0.33498320447335256, 0.08077162897465208, 0.07275091787207943, 0.004435192761960828, -0.021157527790581176, 0.027172858225525294, -0.1266684769056579, 0.09260832969533297, 0.28006644854412494, 0.11996497741891342, 0.3157710085704344, -0.4869250968749662, -0.21884224833852783, 0.06612253703800872, 0.07706538793513353, 0.15077683141283257, -0.018855321792957996, -0.3084903093986213, 0.022558190312815234, -0.14845188500052228, -0.09184916779507422, -0.06601379875057531, 0.0298717577938325, -0.08506213832935951, -0.21816687335178836, 0.12170617894531743, 0.04850950453303827, 0.09168285273413346, -0.004848642950624372, -0.03933403570458148, 0.026892019241361073, 0.15640454959391065, 0.02079605764157853, -0.02450446987940559, 0.19812597251198824, -0.08749578353379248, -0.15562825911063521, 0.39749628312668756, -0.010507231977490202, -0.17882100563017128, 0.19338598466044274, -0.15178517759122062, -0.11028798796616278, 0.04105987131270101, 0.11621636036530282, 0.024945166075005402, -0.13743077761502664, 0.07633048001658714, -0.0046024749381015605, 0.17709054574664249, 0.01013442093633043, 0.0944742590767666, 0.18366303776833906, 0.13110421329411198, 0.00339262480440649, 0.09167732742617304, -0.06005259552174835, -0.17597742758474302, -0.31850088628244055, -0.12638018181710278, -0.20713200759667072, 0.11096038593296347, -0.027617134578532803, -0.16032927381146012, 0.3261946092802778, 0.21323320915181082, 0.13410009422172223, 0.006177298799247563, 0.305275818531953, 0.06253302500592274, 0.06832925671512641, -0.008608056114787616, 0.28264436646572594, 0.17687970297682343, 0.0881927022032295, -0.3037850820793978, 0.11821778073965672, 0.011449895817243937] |
710.557 | The quadrupole collective model from a Cartan-Weyl perspective | The matrix elements of the quadrupole variables and canonic conjugate
momenta, emerging from collective nuclear models are calculated within a
$SU(1,1)\times O(5)$ basis. Using a harmonic oscillator implementation of the
SU(1,1) degree of freedom, it can be shown that the matrix elements of the
quadrupole phonon creation and annihilation operators can be calculated in a
pure algebraic way, making use of an intermediate state method.
| nucl-th | the matrix elements of the quadrupole variables and canonic conjugate momenta emerging from collective nuclear models are calculated within a su11times o5 basis using a harmonic oscillator implementation of the su11 degree of freedom it can be shown that the matrix elements of the quadrupole phonon creation and annihilation operators can be calculated in a pure algebraic way making use of an intermediate state method | [['the', 'matrix', 'elements', 'of', 'the', 'quadrupole', 'variables', 'and', 'canonic', 'conjugate', 'momenta', 'emerging', 'from', 'collective', 'nuclear', 'models', 'are', 'calculated', 'within', 'a', 'su11times', 'o5', 'basis', 'using', 'a', 'harmonic', 'oscillator', 'implementation', 'of', 'the', 'su11', 'degree', 'of', 'freedom', 'it', 'can', 'be', 'shown', 'that', 'the', 'matrix', 'elements', 'of', 'the', 'quadrupole', 'phonon', 'creation', 'and', 'annihilation', 'operators', 'can', 'be', 'calculated', 'in', 'a', 'pure', 'algebraic', 'way', 'making', 'use', 'of', 'an', 'intermediate', 'state', 'method']] | [-0.10274210990800593, 0.20649533278438656, -0.09873028563183303, 0.03214851410772938, -0.04194089048542082, -0.08985282183409883, 0.002434806414664938, 0.3600343039402595, -0.26039793242055637, -0.22141694693038097, 0.024079068726859987, -0.25467310682512245, -0.1260870554126226, 0.16029324924143462, 0.0458724710624665, 0.01936322421981738, 0.05944077037274838, 0.08604589957170762, -0.13215196912463467, -0.16431193535144512, 0.29733444885708965, 0.0338591492591569, 0.23642603425452344, -0.03346196048391553, 0.11700470914634374, 0.003210712532297923, 0.022200619622778434, -0.03157664680710206, -0.007456731234448783, 0.15424817496051008, 0.2718798940990662, 0.100966276629613, 0.17640071279512576, -0.42086975012834255, -0.14333573151738024, 0.1073196502832266, 0.18119325804739045, 0.16209556713986856, -0.018428821611003232, -0.2856442685382297, -0.02514106763096956, -0.2628641941855536, -0.1891198877388468, -0.1758956337849108, 0.011658573616296053, 0.03140694842888759, -0.3093821327416943, 0.06277352325761547, 0.024786721983064825, 0.059623291637175356, -0.058840200039916316, -0.18094756714820576, -0.06825290671907938, 0.06467723291224012, -0.028087350726127624, 0.013818875829187723, 0.18363071728784305, -0.08508590626387069, -0.12106407770457175, 0.4024497221582211, -0.04289734932379081, -0.22441765279150927, 0.09026126809991324, -0.13115319466361633, -0.08948642438134322, 0.11322074056817935, 0.1377936421893537, 0.1183016864153055, -0.15689471990693934, 0.12456175407502228, 0.019818363381692995, 0.1782834241238351, 0.053594551160215186, 0.07170524559198664, 0.19289339881103773, 0.07026103927682226, 0.013129912402767402, 0.11249835780965022, -0.0214993821313748, -0.09169670852044454, -0.3193962422701029, -0.14490956080217773, -0.20393182364149162, 0.06207087860944179, -0.10523282002183036, -0.12286406758447321, 0.4175693851537429, 0.04765810106630222, 0.16961626876145602, -0.06092185439685216, 0.2508345849812031, 0.17192634758181297, 0.10971744717456973, 0.060243640840053556, 0.2568886814925533, 0.2514577156219345, 0.014862775831268384, -0.2728238136973232, -0.019398781148573525, 0.11117051612012661] |
710.5571 | Ramsey-type problem for an almost monochromatic K_4 | In this short note we prove that there is a constant $c$ such that every
k-edge-coloring of the complete graph K_n with n > 2^{ck} contains a K_4 whose
edges receive at most two colors. This improves on a result of Kostochka and
Mubayi, and is the first exponential bound for this problem.
| math.CO | in this short note we prove that there is a constant c such that every kedgecoloring of the complete graph k_n with n 2ck contains a k_4 whose edges receive at most two colors this improves on a result of kostochka and mubayi and is the first exponential bound for this problem | [['in', 'this', 'short', 'note', 'we', 'prove', 'that', 'there', 'is', 'a', 'constant', 'c', 'such', 'that', 'every', 'kedgecoloring', 'of', 'the', 'complete', 'graph', 'k_n', 'with', 'n', '2ck', 'contains', 'a', 'k_4', 'whose', 'edges', 'receive', 'at', 'most', 'two', 'colors', 'this', 'improves', 'on', 'a', 'result', 'of', 'kostochka', 'and', 'mubayi', 'and', 'is', 'the', 'first', 'exponential', 'bound', 'for', 'this', 'problem']] | [-0.19637460929628175, 0.12659687097878375, -0.07555254420731217, -0.007520324060281452, -0.06640526236822972, -0.16629379239972109, 0.06784741714140043, 0.3604697183920787, -0.21581627918595375, -0.3064375288712864, 0.06011156706237951, -0.35674239179262746, -0.18236949307790312, 0.11695452553864855, -0.11683758857767455, -0.05004306138233425, 0.1086557051166892, 0.08497453516779038, 0.05724052589637442, -0.313293814258941, 0.2750986161856697, -0.1011370880027803, 0.13178499107464, 0.15015916243338814, 0.08886016409199399, 0.05805980116845323, 0.023339944220004745, 0.03783879121049093, -0.20038848270605042, 0.0793532183586369, 0.23695240380206647, 0.1577019355340431, 0.285410663112998, -0.3411307593940784, -0.12947573989199904, 0.19699123735503796, 0.12712671930113664, 0.10630567115731537, -0.04043548897831128, -0.14937120791560468, 0.17396984462482998, -0.1003831008520837, -0.09080775705381082, 0.07643857212343182, 0.13983250248174256, -0.0363437022225788, -0.3046978381104194, -0.004951792321382807, 0.1783174407453491, 0.04149109883627926, 0.05534287701951913, -0.1688585587365266, -0.013110098330518948, 0.1001758520769027, -0.019800118251273837, 0.14080755952790452, -0.04323511445433654, -0.09754151336542585, -0.1326561069402557, 0.35093375904342305, -0.06656907629579879, -0.1252576329637892, 0.11283553081851166, -0.1310439575642634, -0.2358193832825726, 0.11446819028172356, 0.054514910927257285, 0.1728373509652626, -0.06128122431423085, 0.15689899046824743, -0.16469915418957287, 0.15274724693825611, 0.13483901178607574, 0.0488155831117183, 0.10305496059859601, 0.14519582284936824, 0.1747399495753388, 0.14559771176069403, 0.03416548467402418, 0.0686785003188281, -0.341886681289627, -0.13109125816285647, -0.2668351598012333, 0.1105922143548154, -0.14768636512263372, -0.20539055942880133, 0.40116300612974626, 0.08656890470033082, 0.22636862890794873, 0.13359453835381338, 0.2664343723489975, 0.07710218957016388, 0.007943124230503319, 0.19959875695726972, 0.1621417726139323, 0.10558092741009134, -0.008451272697689442, -0.16515680961310863, 0.06264440290397033, 0.12371143218702994] |
710.5572 | One loop photon-graviton mixing in an electromagnetic field: Part 2 | In part 1 of this series compact integral representations had been obtained
for the one-loop photon-graviton amplitude involving a charged spin 0 or spin
1/2 particle in the loop and an arbitrary constant electromagnetic field. In
this sequel, we study the structure and magnitude of the various polarization
components of this amplitude on-shell. Explicit expressions are obtained for a
number of limiting cases.
| gr-qc hep-th | in part 1 of this series compact integral representations had been obtained for the oneloop photongraviton amplitude involving a charged spin 0 or spin 12 particle in the loop and an arbitrary constant electromagnetic field in this sequel we study the structure and magnitude of the various polarization components of this amplitude onshell explicit expressions are obtained for a number of limiting cases | [['in', 'part', '1', 'of', 'this', 'series', 'compact', 'integral', 'representations', 'had', 'been', 'obtained', 'for', 'the', 'oneloop', 'photongraviton', 'amplitude', 'involving', 'a', 'charged', 'spin', '0', 'or', 'spin', '12', 'particle', 'in', 'the', 'loop', 'and', 'an', 'arbitrary', 'constant', 'electromagnetic', 'field', 'in', 'this', 'sequel', 'we', 'study', 'the', 'structure', 'and', 'magnitude', 'of', 'the', 'various', 'polarization', 'components', 'of', 'this', 'amplitude', 'onshell', 'explicit', 'expressions', 'are', 'obtained', 'for', 'a', 'number', 'of', 'limiting', 'cases']] | [-0.1884134139326061, 0.16469452980492774, -0.030199898007724966, 0.07666988399005421, -0.04278954944854218, -0.051237061531061216, -0.02709389507534012, 0.3622569814915695, -0.188260531858615, -0.2867861135847985, 0.09147981516758187, -0.24192383016888347, -0.1170092171967207, 0.19341690283054339, 0.043897496743334666, 0.026441320492368605, 0.00827083575524508, 0.08727556148484822, -0.08957193855432764, -0.21173981124431723, 0.322359469734014, -0.015221853163980302, 0.19292279666230555, 0.03612973160361723, 0.11695137138049753, 0.05996364791182771, -0.06701337552023312, -0.013668985965104805, -0.12269317029812743, 0.08614784331127469, 0.22869131179703844, 0.006925414996369491, 0.16117354887463745, -0.40681189399153467, -0.15658774469343442, 0.10296616329264546, 0.17405197993733934, 0.138465404081794, -0.02488574306554501, -0.2530980685297104, 0.04459181209168737, -0.2070098084116739, -0.18659449550544932, -0.06414247760992675, 0.0687077505281195, -0.02393777373187717, -0.2746355081658943, 0.07327711711534196, 0.04365037749743178, 0.06786276827315016, -0.070927698907095, -0.17547463341837838, 0.034228640432942596, 0.12575048188649354, 0.07738333850330303, 0.06339022778492007, 0.09932227953824968, -0.20023303555827293, -0.11985750950961596, 0.28544011939730907, -0.09751143061467224, -0.22881205714056416, 0.11383275338079012, -0.21253904114876473, -0.14716750705644252, 0.16290966872244128, 0.1448754578651417, 0.14546984365387333, -0.14846055424820248, 0.14033376984852589, 0.0034655348604751956, 0.11294556451067032, 0.1287881085752613, 0.03887278985764299, 0.19419059107109668, 0.09587530635060772, -0.0069893726937903375, 0.16094389499445994, -0.07609188942504781, -0.042234369864066444, -0.3567599558404514, -0.18621351262406696, -0.1280291057893977, 0.10651871865053499, -0.11227818241547091, -0.15738368220627308, 0.4260068636476284, 0.08199940232323512, 0.16192294406660257, 0.05452607757604075, 0.289306208402628, 0.16072097237014937, 0.036117834678392795, 0.043635335935664085, 0.2494971840864136, 0.17101717027761634, 0.09029777324388898, -0.22661635641097314, -0.029065571119269683, 0.06937300261398334] |
710.5573 | AgInSe2 Nanorods: A semiconducting material for saturable absorber | AgInSe2 nanorods (NRs) with diameter of 15 nm have been investigated for
their nonlinear optical responses by using Z-scan and transient absorption
techniques with femtosecond laser pulses of photon energy greater than the
bandgap. At excitation irradiance of 20 GW/cm2, AgInSe2 NRs reveal saturation
in the nonlinear absorption and optical Kerr nonlinearity with a recovery time
determined to be a few ten picoseconds. Such large saturable absorption and
Kerr nonlinearity exhibit a third-order susceptibility of 1.2 x 10-8 esu and a
figure of merit of 0.04 esu.cm.s-1, making AgInSe2 NRs a promising candidate
for saturable absorption devices.
| nlin.SI cond-mat.mtrl-sci cond-mat.soft physics.chem-ph physics.optics | aginse2 nanorods nrs with diameter of 15 nm have been investigated for their nonlinear optical responses by using zscan and transient absorption techniques with femtosecond laser pulses of photon energy greater than the bandgap at excitation irradiance of 20 gwcm2 aginse2 nrs reveal saturation in the nonlinear absorption and optical kerr nonlinearity with a recovery time determined to be a few ten picoseconds such large saturable absorption and kerr nonlinearity exhibit a thirdorder susceptibility of 12 x 108 esu and a figure of merit of 004 esucms1 making aginse2 nrs a promising candidate for saturable absorption devices | [['aginse2', 'nanorods', 'nrs', 'with', 'diameter', 'of', '15', 'nm', 'have', 'been', 'investigated', 'for', 'their', 'nonlinear', 'optical', 'responses', 'by', 'using', 'zscan', 'and', 'transient', 'absorption', 'techniques', 'with', 'femtosecond', 'laser', 'pulses', 'of', 'photon', 'energy', 'greater', 'than', 'the', 'bandgap', 'at', 'excitation', 'irradiance', 'of', '20', 'gwcm2', 'aginse2', 'nrs', 'reveal', 'saturation', 'in', 'the', 'nonlinear', 'absorption', 'and', 'optical', 'kerr', 'nonlinearity', 'with', 'a', 'recovery', 'time', 'determined', 'to', 'be', 'a', 'few', 'ten', 'picoseconds', 'such', 'large', 'saturable', 'absorption', 'and', 'kerr', 'nonlinearity', 'exhibit', 'a', 'thirdorder', 'susceptibility', 'of', '12', 'x', '108', 'esu', 'and', 'a', 'figure', 'of', 'merit', 'of', '004', 'esucms1', 'making', 'aginse2', 'nrs', 'a', 'promising', 'candidate', 'for', 'saturable', 'absorption', 'devices']] | [-0.10383845264732372, 0.1189019385104378, 0.00028542312308369827, -0.0404228760580736, -0.0214418697093303, -0.20651046470993606, 0.03205047226704968, 0.4956896282577266, -0.1815345085778972, -0.3523854691714708, 0.06358102913145558, -0.3659797713238125, -0.06414855661569163, 0.2603210319648497, 0.04721470596753837, 0.10664607894917329, -0.0429162871199272, -0.09048912595608272, -0.006753838550745665, -0.17883467981444787, 0.1762924022526325, 0.04721818976880362, 0.25557601620675996, 0.061224277058499865, 0.11634771628208303, 0.001572546406047574, 0.08024109597317874, -0.019950927225484822, -0.13094192456628662, 0.07914284411041687, 0.25244757252463995, -0.07721112582900484, 0.2729092119067597, -0.36335626314394176, -0.2543284500716254, -0.019840589540156845, 0.11027383539961495, 0.09885616300744005, -0.09242370170090908, -0.27589454737244523, 0.06344013556857438, -0.112154209598278, -0.13056177102877578, -0.0269718033572038, 0.05516732000251068, 0.04948610998205064, -0.24213731172979655, 0.09296344596077688, 0.0016702208255689281, 0.10638229223938349, -0.0686993076252899, -0.0855352555712064, -0.072527771864164, -0.044964985267142765, -0.036867422317300225, -0.021955602569505572, 0.2032768751766222, -0.1163922533596633, -0.10668336387971067, 0.3844696207961533, -0.11886689781704263, 0.009309008769984453, 0.08151844469587861, -0.2095169878254334, 0.00934797064473969, 0.2923074735638996, 0.14434998209859864, 0.16254533241832783, -0.10995775077026337, -0.04160550017695641, 0.045616175746545196, 0.30190471788713086, 0.21555821417132393, 0.18222463398221103, 0.1938519420606705, 0.21404227737608986, -0.003669027726573404, 0.10401884981426217, -0.14724801412861174, 0.10097280282449599, -0.1669760014168181, -0.10579279223748017, -0.1634504402342524, 0.1803732931154324, -0.1523592544975448, -0.10399421650314859, 0.41289274344065535, 0.09258093387567594, 0.14966104681661818, -0.010862256992065037, 0.24580831579320753, 0.17160799951913455, 0.09793936429923633, -0.019076139190777514, 0.3531022711310167, 0.17294685816402003, 0.1454863575733422, -0.229676532412365, -0.004180499439826235, -0.0816575047429069] |
710.5574 | Effects of Quasar Feedback in Galaxy Groups | We study the effect of quasar feedback on distributions of baryons and
properties of intracluster medium in galaxy groups using high-resolution
numerical simulations. We use the entropy-conserving Gadget code that includes
gas cooling and star formation, modified to include a physically-based model of
quasar feedback. For a sample of ten galaxy group-sized dark matter halos with
masses in the range of 1 to $5\times 10^{13} M_{\odot}/h$, star formation is
suppressed by more than 50% in the inner regions due to the additional pressure
support by quasar feedback, while gas is driven from the inner region towards
the outer region of the halos. As a result, the average gas density is 50%
lower in the inner region and 10% higher in the outer region in the simulation,
compared to a similar simulation with no quasar feedback. Gas pressure is
lowered by about 40% in the inner region and higher in the outer region, while
temperature and entropy are enhanced in the inner region by about 20-40%. The
total group gas fraction in the two simulations generally differs by less than
10%. We also find a small change of the total thermal Sunyaev-Zeldovich
distortion, leading to 10% changes in the microwave angular power spectrum at
angular scales below two arcminutes.
| astro-ph | we study the effect of quasar feedback on distributions of baryons and properties of intracluster medium in galaxy groups using highresolution numerical simulations we use the entropyconserving gadget code that includes gas cooling and star formation modified to include a physicallybased model of quasar feedback for a sample of ten galaxy groupsized dark matter halos with masses in the range of 1 to 5times 1013 m_odoth star formation is suppressed by more than 50 in the inner regions due to the additional pressure support by quasar feedback while gas is driven from the inner region towards the outer region of the halos as a result the average gas density is 50 lower in the inner region and 10 higher in the outer region in the simulation compared to a similar simulation with no quasar feedback gas pressure is lowered by about 40 in the inner region and higher in the outer region while temperature and entropy are enhanced in the inner region by about 2040 the total group gas fraction in the two simulations generally differs by less than 10 we also find a small change of the total thermal sunyaevzeldovich distortion leading to 10 changes in the microwave angular power spectrum at angular scales below two arcminutes | [['we', 'study', 'the', 'effect', 'of', 'quasar', 'feedback', 'on', 'distributions', 'of', 'baryons', 'and', 'properties', 'of', 'intracluster', 'medium', 'in', 'galaxy', 'groups', 'using', 'highresolution', 'numerical', 'simulations', 'we', 'use', 'the', 'entropyconserving', 'gadget', 'code', 'that', 'includes', 'gas', 'cooling', 'and', 'star', 'formation', 'modified', 'to', 'include', 'a', 'physicallybased', 'model', 'of', 'quasar', 'feedback', 'for', 'a', 'sample', 'of', 'ten', 'galaxy', 'groupsized', 'dark', 'matter', 'halos', 'with', 'masses', 'in', 'the', 'range', 'of', '1', 'to', '5times', '1013', 'm_odoth', 'star', 'formation', 'is', 'suppressed', 'by', 'more', 'than', '50', 'in', 'the', 'inner', 'regions', 'due', 'to', 'the', 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710.5575 | A new methodology for the extraction of anharmonic force constants from
first principles density functional calculations | A new method for extracting force constants (FC) from first principles is
introduced. It requires small supercells but very accurate forces. In
principle, provided that forces are accurate enough, it can extract harmonic as
well as anharmonic FCs up to any neighbor shell. Symmetries of the FCs as well
as those of the lattice are used to reduce the number of parameters to be
calculated. Results are illustrated for the case of Lennard-Jones potential
where forces are exact and FCs can be calculated analytically, and Si in the
diamond structure. The latter are compared to previously calculated harmonic
FCs.
| cond-mat.mtrl-sci | a new method for extracting force constants fc from first principles is introduced it requires small supercells but very accurate forces in principle provided that forces are accurate enough it can extract harmonic as well as anharmonic fcs up to any neighbor shell symmetries of the fcs as well as those of the lattice are used to reduce the number of parameters to be calculated results are illustrated for the case of lennardjones potential where forces are exact and fcs can be calculated analytically and si in the diamond structure the latter are compared to previously calculated harmonic fcs | [['a', 'new', 'method', 'for', 'extracting', 'force', 'constants', 'fc', 'from', 'first', 'principles', 'is', 'introduced', 'it', 'requires', 'small', 'supercells', 'but', 'very', 'accurate', 'forces', 'in', 'principle', 'provided', 'that', 'forces', 'are', 'accurate', 'enough', 'it', 'can', 'extract', 'harmonic', 'as', 'well', 'as', 'anharmonic', 'fcs', 'up', 'to', 'any', 'neighbor', 'shell', 'symmetries', 'of', 'the', 'fcs', 'as', 'well', 'as', 'those', 'of', 'the', 'lattice', 'are', 'used', 'to', 'reduce', 'the', 'number', 'of', 'parameters', 'to', 'be', 'calculated', 'results', 'are', 'illustrated', 'for', 'the', 'case', 'of', 'lennardjones', 'potential', 'where', 'forces', 'are', 'exact', 'and', 'fcs', 'can', 'be', 'calculated', 'analytically', 'and', 'si', 'in', 'the', 'diamond', 'structure', 'the', 'latter', 'are', 'compared', 'to', 'previously', 'calculated', 'harmonic', 'fcs']] | [-0.04227110614407469, 0.12086902198033651, -0.04334674322168634, 0.095152985291659, -0.05267367268809014, -0.17356779662929853, 0.029878135361341818, 0.4044188480974749, -0.27204206356346006, -0.3098171190593881, 0.0502021274214253, -0.29974620492371606, -0.1446967379453432, 0.2462367829349306, 0.03945840005245474, 0.08365986795832563, 0.04261696911558057, 0.06428817826596023, -0.012080173711339482, -0.22301372750944487, 0.22435248429496593, 0.07493113285645542, 0.23768829320077645, 0.09470039360563863, 0.06027631146475823, -0.004503262182227289, 0.020651360597423833, 0.06775319149172065, -0.11381885109063898, 0.13101083297997412, 0.25933777139230507, -0.00523947827950722, 0.1875060923665649, -0.45048528693315354, -0.2253227366435558, 0.06082656350212567, 0.12682232545039646, 0.1987766844709639, -0.018998454417210223, -0.25943786519429074, 0.09100432338362391, -0.16547126744431678, -0.1530434989248111, -0.20248143310479896, 0.012913279978539607, 0.11614468474307972, -0.3039104074052761, 0.12319705088274797, -0.007608212396558939, 0.05090422457497981, -0.07031769750668018, -0.15013725708492778, -0.03870361116291447, 0.19395347558093642, 0.031867088668977056, 0.01559473429289129, 0.16398961938014536, -0.0800054053202121, -0.06947214859584817, 0.4540025188371238, -0.031069969523208913, -0.22674588535470191, 0.16342254496659292, -0.11122917009969101, -0.0740773630507215, 0.13323583555492488, 0.09738382727679129, 0.10456343141920639, -0.19458584757486472, 0.058720318039625206, 0.030401038316388924, 0.14600022782740946, 0.0887856466338189, 0.011456026803852633, 0.12919981143616063, 0.1081128066283359, 0.03674122550044999, 0.13802935432341665, -0.09651104713592565, -0.11579882530401452, -0.2819410207107513, -0.10445624490290871, -0.27586639691332376, 0.016465067590652693, -0.06722163358636228, -0.14907622072996216, 0.31966342649074514, 0.09513182855785043, 0.16811210553001876, 0.03699235693372861, 0.2686523658463336, 0.11584920817609838, 0.11426332799924745, 0.004535056514232748, 0.2915906405565564, 0.16063914520459044, 0.032664021312475505, -0.21625291800004137, 0.027040757765673627, 0.08798917838739174] |
710.5576 | Aspherical supernova explosions and formation of compact black hole
low-mass X-ray binaries | It has been suggested that black-hole low-mass X-ray binaries (BHLMXBs) with
short orbital periods may have evolved from BH binaries with an
intermediate-mass secondary, but the donor star seems to always have higher
effective temperatures than measured in BHLMXBs (Justham, Rappaport &
Podsiadlowski 2006). Here we suggest that the secondary star is originally an
intermediate-mass ($\sim 2-5 M_{\sun}$) star, which loses a large fraction of
its mass due to the ejecta impact during the aspherical SN explosion that
produced the BH. The resulted secondary star could be of low-mass ($\la 1
M_{\sun}$). Magnetic braking would shrink the binary orbit, drive mass transfer
between the donor and the BH, producing a compact BHLMXB.
| astro-ph | it has been suggested that blackhole lowmass xray binaries bhlmxbs with short orbital periods may have evolved from bh binaries with an intermediatemass secondary but the donor star seems to always have higher effective temperatures than measured in bhlmxbs justham rappaport podsiadlowski 2006 here we suggest that the secondary star is originally an intermediatemass sim 25 m_sun star which loses a large fraction of its mass due to the ejecta impact during the aspherical sn explosion that produced the bh the resulted secondary star could be of lowmass la 1 m_sun magnetic braking would shrink the binary orbit drive mass transfer between the donor and the bh producing a compact bhlmxb | [['it', 'has', 'been', 'suggested', 'that', 'blackhole', 'lowmass', 'xray', 'binaries', 'bhlmxbs', 'with', 'short', 'orbital', 'periods', 'may', 'have', 'evolved', 'from', 'bh', 'binaries', 'with', 'an', 'intermediatemass', 'secondary', 'but', 'the', 'donor', 'star', 'seems', 'to', 'always', 'have', 'higher', 'effective', 'temperatures', 'than', 'measured', 'in', 'bhlmxbs', 'justham', 'rappaport', 'podsiadlowski', '2006', 'here', 'we', 'suggest', 'that', 'the', 'secondary', 'star', 'is', 'originally', 'an', 'intermediatemass', 'sim', '25', 'm_sun', 'star', 'which', 'loses', 'a', 'large', 'fraction', 'of', 'its', 'mass', 'due', 'to', 'the', 'ejecta', 'impact', 'during', 'the', 'aspherical', 'sn', 'explosion', 'that', 'produced', 'the', 'bh', 'the', 'resulted', 'secondary', 'star', 'could', 'be', 'of', 'lowmass', 'la', '1', 'm_sun', 'magnetic', 'braking', 'would', 'shrink', 'the', 'binary', 'orbit', 'drive', 'mass', 'transfer', 'between', 'the', 'donor', 'and', 'the', 'bh', 'producing', 'a', 'compact', 'bhlmxb']] | [-0.10181647370019081, 0.21212326906097587, -0.06335388417355717, 0.13623188867085528, -0.14143512929705057, -0.10175856747241183, 0.051588459478013896, 0.38963870653374627, -0.1205728695188141, -0.37084834023632784, 0.05750302130208266, -0.2775987512148938, 0.005007655330171639, 0.21398235128515147, -0.09830079860561951, -0.07220306946864267, 0.15922130055789074, -0.010148437958824533, -0.10429783469616351, -0.26600477780977433, 0.31409807438877496, 0.11353556407107548, 0.050389175487428224, -0.016815606974573297, 0.05623569187009707, -0.07410168169616636, 0.03895757848777893, -0.09509829198094931, -0.15023653666291714, -0.001147443191571669, 0.20307614061642776, 0.1497883265478198, 0.20430535443381154, -0.3362737263722176, -0.22374498023736206, 0.0712862175931646, 0.21927669384008783, 0.039879505424125286, -0.12987848172329408, -0.21159446629039436, 0.13897522611448287, -0.35300122943167067, -0.14941634017635474, 0.07927261176942424, 0.11720879817889496, 0.014504203297705813, -0.23851713349788703, 0.1161276841083732, 0.1079318659491202, -0.01703797884031453, -0.13612967358415268, -0.09413295711962168, -0.14191999871029773, 0.05157876943915405, 0.10523321317635816, 0.13327176611531866, 0.1584338769105009, -0.0446853790093552, -0.008534678279168227, 0.3470274105837399, -0.01830383687219265, 0.04860564766621048, 0.2559008979492567, -0.2290926906195554, -0.16443125645799392, 0.20332841048525138, 0.14319342995930293, 0.16910284167917614, -0.1615203185141912, -0.042127431950807065, 0.05518393411343409, 0.2457241883575493, 0.07272749585522846, 0.050261326925829054, 0.44659175639548765, 0.13223424819086424, -0.01983281310901723, 0.05819886537184092, -0.22294456615028055, -0.02590193094855005, -0.07319078090685335, -0.09337866635231132, -0.1200679517859085, 0.1940873612871986, -0.13293870107088218, -0.10451223189699124, 0.23313212087801236, 0.03640757150741675, 0.2074084999378432, -0.020414327227891507, 0.24419695649042047, 0.12384376339720224, 0.11447703571439806, 0.14983186592686581, 0.3693755948238752, 0.20370429295792497, 0.11435866382459856, -0.2845410930352624, 0.09837484950707717, 0.01140877717089924] |
710.5577 | Large deviations associated with Poisson--Dirichlet distribution and
Ewens sampling formula | Several results of large deviations are obtained for distributions that are
associated with the Poisson--Dirichlet distribution and the Ewens sampling
formula when the parameter $\theta$ approaches infinity. The motivation for
these results comes from a desire of understanding the exact meaning of
$\theta$ going to infinity. In terms of the law of large numbers and the
central limit theorem, the limiting procedure of $\theta$ going to infinity in
a Poisson--Dirichlet distribution corresponds to a finite allele model where
the mutation rate per individual is fixed and the number of alleles going to
infinity. We call this the finite allele approximation. The first main result
of this article is concerned with the relation between this finite allele
approximation and the Poisson--Dirichlet distribution in terms of large
deviations. Large $\theta$ can also be viewed as a limiting procedure of the
effective population size going to infinity. In the second result a comparison
is done between the sample size and the effective population size based on the
Ewens sampling formula.
| math.PR | several results of large deviations are obtained for distributions that are associated with the poissondirichlet distribution and the ewens sampling formula when the parameter theta approaches infinity the motivation for these results comes from a desire of understanding the exact meaning of theta going to infinity in terms of the law of large numbers and the central limit theorem the limiting procedure of theta going to infinity in a poissondirichlet distribution corresponds to a finite allele model where the mutation rate per individual is fixed and the number of alleles going to infinity we call this the finite allele approximation the first main result of this article is concerned with the relation between this finite allele approximation and the poissondirichlet distribution in terms of large deviations large theta can also be viewed as a limiting procedure of the effective population size going to infinity in the second result a comparison is done between the sample size and the effective population size based on the ewens sampling formula | [['several', 'results', 'of', 'large', 'deviations', 'are', 'obtained', 'for', 'distributions', 'that', 'are', 'associated', 'with', 'the', 'poissondirichlet', 'distribution', 'and', 'the', 'ewens', 'sampling', 'formula', 'when', 'the', 'parameter', 'theta', 'approaches', 'infinity', 'the', 'motivation', 'for', 'these', 'results', 'comes', 'from', 'a', 'desire', 'of', 'understanding', 'the', 'exact', 'meaning', 'of', 'theta', 'going', 'to', 'infinity', 'in', 'terms', 'of', 'the', 'law', 'of', 'large', 'numbers', 'and', 'the', 'central', 'limit', 'theorem', 'the', 'limiting', 'procedure', 'of', 'theta', 'going', 'to', 'infinity', 'in', 'a', 'poissondirichlet', 'distribution', 'corresponds', 'to', 'a', 'finite', 'allele', 'model', 'where', 'the', 'mutation', 'rate', 'per', 'individual', 'is', 'fixed', 'and', 'the', 'number', 'of', 'alleles', 'going', 'to', 'infinity', 'we', 'call', 'this', 'the', 'finite', 'allele', 'approximation', 'the', 'first', 'main', 'result', 'of', 'this', 'article', 'is', 'concerned', 'with', 'the', 'relation', 'between', 'this', 'finite', 'allele', 'approximation', 'and', 'the', 'poissondirichlet', 'distribution', 'in', 'terms', 'of', 'large', 'deviations', 'large', 'theta', 'can', 'also', 'be', 'viewed', 'as', 'a', 'limiting', 'procedure', 'of', 'the', 'effective', 'population', 'size', 'going', 'to', 'infinity', 'in', 'the', 'second', 'result', 'a', 'comparison', 'is', 'done', 'between', 'the', 'sample', 'size', 'and', 'the', 'effective', 'population', 'size', 'based', 'on', 'the', 'ewens', 'sampling', 'formula']] | [-0.0775823330082847, 0.13128019678601605, -0.11914492125098711, 0.11818355022968646, -0.044331850393390854, -0.11030674320060069, 0.1283961749373528, 0.28543507613933194, -0.27974592271946863, -0.27412181329762864, 0.07398789402788984, -0.2731833121638946, -0.0998462317901814, 0.16075279235053516, -0.0877286099973776, 0.03430385764933632, 0.02814125822868176, 0.04611932026768873, -0.03899607999657398, -0.20659395559930693, 0.31739844101715364, 0.06649015822118806, 0.29532583121734557, -0.014259888656705083, 0.09773220732831814, 0.009336301659911447, -0.052523109849966214, 0.004567121362598044, -0.15437518345899803, 0.11248570382818134, 0.24309764645469492, 0.11412005502630226, 0.32360423358246504, -0.3274403109330134, -0.12406880498311655, 0.13913281010686904, 0.1726033276861567, 0.14240216704163544, 0.008611683680084786, -0.21686727026460725, 0.08471582686001558, -0.18788538456052364, -0.20364488956300977, 0.010105226846958349, 0.015672808914573608, 0.08668048557139442, -0.291912283653583, 0.08031632710080232, 0.11389933293545898, 0.06527232286704336, -0.005734279439477863, -0.16295494374255845, 0.005783626684238632, 0.16403710916251485, 0.15504992187851316, 0.022519925069677347, 0.10190337231315806, -0.10858030902350065, -0.05931102823532984, 0.3462597080534268, -0.07378129317553457, -0.22301450210712673, 0.15481259175130127, -0.23260725328063, -0.1328862049494184, 0.12526797666074987, 0.14816006553543362, 0.14669951483765709, -0.11451483391196408, 0.12008392357254892, -0.03689663332446428, 0.10350265693265254, 0.10567329854643095, -0.012081666573502882, 0.14825419164931924, 0.13539151460194437, 0.066940538278463, 0.1658214749287379, -0.10933896023564008, -0.1393620837730785, -0.34789414749575587, -0.13160920055781095, -0.2314058846353503, 0.09276834467124796, -0.1840045045761351, -0.17909733573961892, 0.3367833982996955, 0.14752199551687314, 0.24599515219514598, 0.17040582985511263, 0.23536374147780642, 0.16264436661173773, 0.04747740551829338, 0.005502684737909809, 0.135080845842506, 0.1485787873842313, 0.05342906353504447, -0.1972895222438937, 0.07973703630073387, 0.07612395553827331] |
710.5578 | On variability and spectral distortion of the fluorescent iron lines
from black-hole accretion discs | We investigate properties of iron fluorescent line arising as a result of
illumination of a black hole accretion disc by an X-ray source located above
the disc surface. We study in details the light-bending model of variability of
the line, extending previous work on the subject.
We indicate bending of photon trajectories to the equatorial plane, which is
a distinct property of the Kerr metric, as the most feasible effect underlying
reduced variability of the line observed in several objects. A model involving
an X-ray source with a varying radial distance, located within a few central
gravitational radii around a rapidly rotating black hole, close to the disc
surface, may explain both the elongated red wing of the line profile and the
complex variability pattern observed in MCG--6-30-15 by XMM-Newton.
We point out also that illumination by radiation which returns to the disc
(following the previous reflection) contributes significantly to formation of
the line profile in some cases. As a result of this effect, the line profile
always has a pronounced blue peak (which is not observed in the deep minimum
state in MCG--6-30-15), unless the reflecting material is absent within the
innermost 2--3 gravitational radii.
| astro-ph | we investigate properties of iron fluorescent line arising as a result of illumination of a black hole accretion disc by an xray source located above the disc surface we study in details the lightbending model of variability of the line extending previous work on the subject we indicate bending of photon trajectories to the equatorial plane which is a distinct property of the kerr metric as the most feasible effect underlying reduced variability of the line observed in several objects a model involving an xray source with a varying radial distance located within a few central gravitational radii around a rapidly rotating black hole close to the disc surface may explain both the elongated red wing of the line profile and the complex variability pattern observed in mcg63015 by xmmnewton we point out also that illumination by radiation which returns to the disc following the previous reflection contributes significantly to formation of the line profile in some cases as a result of this effect the line profile always has a pronounced blue peak which is not observed in the deep minimum state in mcg63015 unless the reflecting material is absent within the innermost 23 gravitational radii | [['we', 'investigate', 'properties', 'of', 'iron', 'fluorescent', 'line', 'arising', 'as', 'a', 'result', 'of', 'illumination', 'of', 'a', 'black', 'hole', 'accretion', 'disc', 'by', 'an', 'xray', 'source', 'located', 'above', 'the', 'disc', 'surface', 'we', 'study', 'in', 'details', 'the', 'lightbending', 'model', 'of', 'variability', 'of', 'the', 'line', 'extending', 'previous', 'work', 'on', 'the', 'subject', 'we', 'indicate', 'bending', 'of', 'photon', 'trajectories', 'to', 'the', 'equatorial', 'plane', 'which', 'is', 'a', 'distinct', 'property', 'of', 'the', 'kerr', 'metric', 'as', 'the', 'most', 'feasible', 'effect', 'underlying', 'reduced', 'variability', 'of', 'the', 'line', 'observed', 'in', 'several', 'objects', 'a', 'model', 'involving', 'an', 'xray', 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'gravitational', 'radii']] | [-0.11883285611259695, 0.06737429861021489, -0.06716564026357112, 0.07617567218388716, -0.07427776074607154, -0.09354766660782138, 0.030171904142717927, 0.4086633801914048, -0.2043768008594753, -0.31177786392265483, 0.07636540770953597, -0.28642939932986483, -0.08235313880675453, 0.2083677250929937, -0.05939161533024162, -0.012720432595174037, 0.0020242524481787136, -0.028983615999281103, -0.05368099010095703, -0.16545268969268215, 0.32752854551416727, 0.08570729096628588, 0.19126588348489332, 0.023801077411472037, 0.02446225188329236, -0.03138310333941968, -0.010335851548600714, 0.047660031006142495, -0.10416348578845067, 0.07257083446566699, 0.196137487850323, 0.086028328419625, 0.22759573327809393, -0.3752199961585278, -0.2509108475600702, 0.05768283584858386, 0.1649620871588811, 0.07624157896676405, -0.060805121734880896, -0.24577215341470984, 0.047206000674382916, -0.15584809443324196, -0.21322853822612717, 0.09909569114988327, 0.07596945045135763, 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710.5579 | Noncompact Shrinking 4-Solitons with Nonnegative Curvature | We prove the following: Let (M,g,X) be a noncompact four dimensional
shrinking soliton with bounded nonnegative curvature operator, then (M,g) is
isometric to R^4 or a finite quotient of S^2xR^2 or S^3xR. In the process we
also show that a complete shrinking soliton (M,g,X) with bounded curvature is
gradient and k-noncollapsed and the dilation of a Type I singularity is a
shrinking soliton. Further in dimension three we show shrinking solitons with
bounded curvature can be classified under only the assumption of Rc>= 0.
| math.DG | we prove the following let mgx be a noncompact four dimensional shrinking soliton with bounded nonnegative curvature operator then mg is isometric to r4 or a finite quotient of s2xr2 or s3xr in the process we also show that a complete shrinking soliton mgx with bounded curvature is gradient and knoncollapsed and the dilation of a type i singularity is a shrinking soliton further in dimension three we show shrinking solitons with bounded curvature can be classified under only the assumption of rc 0 | [['we', 'prove', 'the', 'following', 'let', 'mgx', 'be', 'a', 'noncompact', 'four', 'dimensional', 'shrinking', 'soliton', 'with', 'bounded', 'nonnegative', 'curvature', 'operator', 'then', 'mg', 'is', 'isometric', 'to', 'r4', 'or', 'a', 'finite', 'quotient', 'of', 's2xr2', 'or', 's3xr', 'in', 'the', 'process', 'we', 'also', 'show', 'that', 'a', 'complete', 'shrinking', 'soliton', 'mgx', 'with', 'bounded', 'curvature', 'is', 'gradient', 'and', 'knoncollapsed', 'and', 'the', 'dilation', 'of', 'a', 'type', 'i', 'singularity', 'is', 'a', 'shrinking', 'soliton', 'further', 'in', 'dimension', 'three', 'we', 'show', 'shrinking', 'solitons', 'with', 'bounded', 'curvature', 'can', 'be', 'classified', 'under', 'only', 'the', 'assumption', 'of', 'rc', '0']] | [-0.14242783470516218, 0.13783558263776846, -0.09286660664243462, 0.022413407615641954, -0.10857369737515662, -0.19727204790062927, -0.06524578217462992, 0.4157350495641614, -0.2674369724628366, -0.10752902480049266, 0.1738723636098942, -0.29175272510375505, -0.12264461816506989, 0.12020517855503217, -0.11172318110173499, -0.03273976853772722, 0.03187298470027285, 0.12289032025584652, -0.0788093123809193, -0.2663882539182166, 0.4238486374601906, -0.12552303661028913, 0.1847863457982003, 0.12695249751494783, 0.10908881960620667, -0.10286209816228092, 0.024954962338619855, 0.10209387566974777, -0.1752746372723867, 0.07417646955905689, 0.17993827837944767, 0.09478734943003934, 0.27344208404444803, -0.36933261388337907, -0.2610895942988587, 0.22906349379753257, 0.2036409367243817, 0.0687170457267375, -0.057826285839747686, -0.3034891175497093, 0.1442395103233004, -0.09909292358767104, -0.20759401245640569, -0.04279786561627263, 0.030787313104043774, 0.03290448020453806, -0.24436976685890077, 0.056377136386732606, 0.1721847646145357, 0.03212042002260317, -0.10965990264221658, -0.05327565851908775, -0.10960858880921646, 0.0003179550949875035, 0.007632335351512733, 0.0557023390184766, 0.057396690205981336, -0.03226665378791455, -0.06830072325343887, 0.32609164834965343, -0.18847384956883795, -0.26431463278807055, 0.08490565507442771, -0.1403475151638742, -0.07328791689863544, 0.11250107221443344, 0.1254243686605521, 0.1767163701976339, -0.02796119876941781, 0.14050863016781936, -0.019044769969538865, 0.13847575056148165, 0.13487353947381547, -0.02018194557684991, 0.13219423783529136, 0.13355977108909023, 0.1698293465959989, 0.14063368383277622, -0.04697471935256028, -0.05368653968850404, -0.3826659049516843, -0.1749997026413495, -0.1651079524078487, 0.19556325919247797, -0.18056696071540995, -0.17972863957078922, 0.35853126564603527, -0.03820092670035974, 0.24625605399961825, 0.0949496114856483, 0.2311280200050937, 0.10230086467884204, 0.057207403911484614, 0.15178098178319174, 0.18234877890826742, 0.1508534911238117, 0.020089190016374176, -0.16639151906502653, -0.08121835885937383, 0.141766554809838] |
710.558 | Ram pressure histories of cluster galaxies | Ram pressure stripping can remove significant amounts of gas from galaxies
that orbit in clusters and massive groups, and thus has a large impact on the
evolution of cluster galaxies. In this paper, we reconstruct the present-day
distribution of ram-pressure, and the ram pressure histories of cluster
galaxies. To this aim, we combine the Millennium Simulation and an associated
semi-analytic model of galaxy evolution with analytic models for the gas
distribution in clusters. We find that about one quarter of galaxies in massive
clusters are subject to strong ram-pressures that are likely to cause an
expedient loss of all gas. Strong ram-pressures occur predominantly in the
inner core of the cluster, where both the gas density and the galaxy velocity
are higher. Since their accretion onto a massive system, more than 64 per cent
of galaxies that reside in a cluster today have experienced strong
ram-pressures of $>10^{-11}$ dyn cm$^{-2}$ which most likely led to a
substantial loss of the gas.
| astro-ph | ram pressure stripping can remove significant amounts of gas from galaxies that orbit in clusters and massive groups and thus has a large impact on the evolution of cluster galaxies in this paper we reconstruct the presentday distribution of rampressure and the ram pressure histories of cluster galaxies to this aim we combine the millennium simulation and an associated semianalytic model of galaxy evolution with analytic models for the gas distribution in clusters we find that about one quarter of galaxies in massive clusters are subject to strong rampressures that are likely to cause an expedient loss of all gas strong rampressures occur predominantly in the inner core of the cluster where both the gas density and the galaxy velocity are higher since their accretion onto a massive system more than 64 per cent of galaxies that reside in a cluster today have experienced strong rampressures of 1011 dyn cm2 which most likely led to a substantial loss of the gas | [['ram', 'pressure', 'stripping', 'can', 'remove', 'significant', 'amounts', 'of', 'gas', 'from', 'galaxies', 'that', 'orbit', 'in', 'clusters', 'and', 'massive', 'groups', 'and', 'thus', 'has', 'a', 'large', 'impact', 'on', 'the', 'evolution', 'of', 'cluster', 'galaxies', 'in', 'this', 'paper', 'we', 'reconstruct', 'the', 'presentday', 'distribution', 'of', 'rampressure', 'and', 'the', 'ram', 'pressure', 'histories', 'of', 'cluster', 'galaxies', 'to', 'this', 'aim', 'we', 'combine', 'the', 'millennium', 'simulation', 'and', 'an', 'associated', 'semianalytic', 'model', 'of', 'galaxy', 'evolution', 'with', 'analytic', 'models', 'for', 'the', 'gas', 'distribution', 'in', 'clusters', 'we', 'find', 'that', 'about', 'one', 'quarter', 'of', 'galaxies', 'in', 'massive', 'clusters', 'are', 'subject', 'to', 'strong', 'rampressures', 'that', 'are', 'likely', 'to', 'cause', 'an', 'expedient', 'loss', 'of', 'all', 'gas', 'strong', 'rampressures', 'occur', 'predominantly', 'in', 'the', 'inner', 'core', 'of', 'the', 'cluster', 'where', 'both', 'the', 'gas', 'density', 'and', 'the', 'galaxy', 'velocity', 'are', 'higher', 'since', 'their', 'accretion', 'onto', 'a', 'massive', 'system', 'more', 'than', '64', 'per', 'cent', 'of', 'galaxies', 'that', 'reside', 'in', 'a', 'cluster', 'today', 'have', 'experienced', 'strong', 'rampressures', 'of', '1011', 'dyn', 'cm2', 'which', 'most', 'likely', 'led', 'to', 'a', 'substantial', 'loss', 'of', 'the', 'gas']] | [-0.09110605161491006, 0.09565430245183622, -0.08013480911624288, 0.07415045896018653, -0.06013850301868566, 0.0064524035808277425, 0.03441602233522543, 0.3910523218490322, -0.16032723633945567, -0.34636007432149063, 0.042779290072492655, -0.29054547728166585, -0.04778541336616975, 0.18616657963120928, -0.025987218735704882, -0.039386558630619406, 0.04955854658500193, -0.04408637376253418, -0.04382926282351431, -0.3476667338823148, 0.3324881784837716, 0.0843586246540874, 0.16393676529759946, -0.027197627570503247, 0.08069402248141651, -0.09630705268550317, -0.05195280137147917, -0.03145571137483446, -0.11376081320391361, 0.061473778055283756, 0.1852668759463724, 0.10654539254823735, 0.3064232195715958, -0.4447853359688791, -0.2146621575255109, 0.08698824339586755, 0.21248678025147466, 0.07167690740941636, -0.12919057056465785, -0.22616190500109115, 0.11007544496067748, -0.26725290485322245, -0.1328781457467479, 0.07766954012515938, 0.04513631133443635, 0.03036017873561623, -0.19879350789839992, 0.21280445219943103, 0.030410868248769214, 0.028718236446241784, -0.08997698073558834, -0.07616984335089577, -0.0749033990703662, 0.08987914235764964, 0.002080225749432994, 0.09065718271896844, 0.23142788534324546, -0.17641438762744113, 0.02162222580995804, 0.4425935732281726, -0.03041745274754672, -0.037134978168221734, 0.30329334604848895, -0.225177262480926, -0.18159550283485965, 0.1347769393228784, 0.22179575104509358, 0.04433462349408717, -0.15521442443595168, -0.006106495454123602, -0.03796622689064268, 0.20466010798902615, 0.036823790789414085, 0.01975634319563859, 0.31517524159114274, 0.06766084877496457, 0.05890588990487852, 0.09301447012224552, -0.1377483823641076, -0.06998529417226265, -0.19218129605945686, -0.13123378134477212, -0.1202889877257244, 0.05314537850411042, -0.11274315963413563, -0.12798676458303093, 0.28625908644684817, 0.15303617348512694, 0.239570817921704, 0.04040915096794712, 0.2957909604974137, 0.08464409762079486, 0.14914046721937863, 0.12539765631537075, 0.2407015468173238, 0.17684643863127653, 0.022557399065742813, -0.24184089738106274, 0.06349905337183881, -0.04233917998300391] |
710.5581 | Magnetic interaction induced by the anomaly in kaon-photoproductions | We study the role of magnetic interaction in the photoproduction of the kaon
and hyperon. We find that the inclusion of a higher order diagram induced by
the Wess-Zumio-Witten term has a significant contribution to the magnetic
amplitude, which is compatible to the observed photon asymmetry in the forward
angle region. This enables us to use the K^* coupling constants which have been
determined in a microscopic way rather than the phenomenological ones which
differ largely from the microscopic ones.
| hep-ph | we study the role of magnetic interaction in the photoproduction of the kaon and hyperon we find that the inclusion of a higher order diagram induced by the wesszumiowitten term has a significant contribution to the magnetic amplitude which is compatible to the observed photon asymmetry in the forward angle region this enables us to use the k coupling constants which have been determined in a microscopic way rather than the phenomenological ones which differ largely from the microscopic ones | [['we', 'study', 'the', 'role', 'of', 'magnetic', 'interaction', 'in', 'the', 'photoproduction', 'of', 'the', 'kaon', 'and', 'hyperon', 'we', 'find', 'that', 'the', 'inclusion', 'of', 'a', 'higher', 'order', 'diagram', 'induced', 'by', 'the', 'wesszumiowitten', 'term', 'has', 'a', 'significant', 'contribution', 'to', 'the', 'magnetic', 'amplitude', 'which', 'is', 'compatible', 'to', 'the', 'observed', 'photon', 'asymmetry', 'in', 'the', 'forward', 'angle', 'region', 'this', 'enables', 'us', 'to', 'use', 'the', 'k', 'coupling', 'constants', 'which', 'have', 'been', 'determined', 'in', 'a', 'microscopic', 'way', 'rather', 'than', 'the', 'phenomenological', 'ones', 'which', 'differ', 'largely', 'from', 'the', 'microscopic', 'ones']] | [-0.12552480908888805, 0.1777696975306431, -0.10608858066976448, 0.07726743454231491, -0.11003207191353358, -0.05522604659789159, 0.0718567009920938, 0.34168881258066697, -0.23992633206557623, -0.3102433913965014, -0.026143806607792554, -0.29331994947942, -0.08258373712342751, 0.15417282952915265, 0.07022831810283169, -0.014531729742884636, -0.0026396235474680043, 0.05699763234256755, -0.04965216478721911, -0.1432158953592747, 0.3455969057034088, 0.06352394772398792, 0.2498063395518951, 0.1006960181307189, 0.05549680396820171, -0.015512316069223835, -0.02704479230001946, 0.027114771495137035, -0.15413555057612144, 0.11910258860716337, 0.194989649332099, -0.003851892323457176, 0.17814174753059692, -0.39896154334574135, -0.18941870987226692, 0.11589819277471662, 0.15454949646056454, 0.15303081791712372, -0.03479225046732286, -0.25394694771782694, 0.05380571328245009, -0.18346635490667687, -0.1274396806684193, -0.07398768382359154, 0.019716111256422687, -0.04483168341419837, -0.2816046072682955, 0.06483817336597492, 0.04516205613654625, 0.02974657728513585, -0.043574604040742676, -0.13065788551834942, -0.01476977370632223, 0.11579216248650528, 0.10687133609435132, 0.10998533200767316, 0.12033335097676402, -0.17396809088207688, -0.08576470412478983, 0.3744034561906246, -0.06435095070204785, -0.16124131553622162, 0.12992045094695273, -0.21713145444452575, -0.11284184831347835, 0.17564861477305524, 0.13614313157578883, 0.08735428752872763, -0.16781711533571345, 0.07803885290867803, -0.022846121647501293, 0.17171666126910456, 0.0635490973680457, 0.0643276769986164, 0.18590778829765658, 0.1624358809859598, -0.0014576829610321719, 0.11236311813014783, -0.1042981476204682, -0.1154789143017953, -0.29380918534684786, -0.08702048230208928, -0.09947788808494806, 0.04817086833092985, -0.06714444791974022, -0.11080963839776814, 0.4117310932849216, 0.1490307431668043, 0.22947398901775573, -0.018366597228848577, 0.2921034136339079, 0.1302778832135498, 0.13012062567816693, 0.027157922906070192, 0.3619686488085721, 0.17087438597956883, 0.12705605932735378, -0.28184925624511287, 0.10944229616677459, 0.025971087597640632] |
710.5582 | Computing Equilibria in Anonymous Games | We present efficient approximation algorithms for finding Nash equilibria in
anonymous games, that is, games in which the players utilities, though
different, do not differentiate between other players. Our results pertain to
such games with many players but few strategies. We show that any such game has
an approximate pure Nash equilibrium, computable in polynomial time, with
approximation O(s^2 L), where s is the number of strategies and L is the
Lipschitz constant of the utilities. Finally, we show that there is a PTAS for
finding an epsilon
| cs.GT cs.CC cs.DM | we present efficient approximation algorithms for finding nash equilibria in anonymous games that is games in which the players utilities though different do not differentiate between other players our results pertain to such games with many players but few strategies we show that any such game has an approximate pure nash equilibrium computable in polynomial time with approximation os2 l where s is the number of strategies and l is the lipschitz constant of the utilities finally we show that there is a ptas for finding an epsilon | [['we', 'present', 'efficient', 'approximation', 'algorithms', 'for', 'finding', 'nash', 'equilibria', 'in', 'anonymous', 'games', 'that', 'is', 'games', 'in', 'which', 'the', 'players', 'utilities', 'though', 'different', 'do', 'not', 'differentiate', 'between', 'other', 'players', 'our', 'results', 'pertain', 'to', 'such', 'games', 'with', 'many', 'players', 'but', 'few', 'strategies', 'we', 'show', 'that', 'any', 'such', 'game', 'has', 'an', 'approximate', 'pure', 'nash', 'equilibrium', 'computable', 'in', 'polynomial', 'time', 'with', 'approximation', 'os2', 'l', 'where', 's', 'is', 'the', 'number', 'of', 'strategies', 'and', 'l', 'is', 'the', 'lipschitz', 'constant', 'of', 'the', 'utilities', 'finally', 'we', 'show', 'that', 'there', 'is', 'a', 'ptas', 'for', 'finding', 'an', 'epsilon']] | [-0.13701313989903693, 0.038107076009261866, -0.12402026977559383, 0.08793785025640814, -0.03387696524044837, -0.23747446410760115, 0.09929199691131627, 0.45904207475144754, -0.2826360828793523, -0.285285587888211, 0.05508268751410386, -0.2670945552950302, -0.16382618606175212, 0.11474325827095361, -0.1020593785982452, 0.01037609970874407, 0.0572381318567998, 0.029659941855987363, 0.04310551820989614, -0.3240809638413008, 0.3183046780441972, -0.030985723493028094, 0.15202996323139154, 0.04432987670456483, 0.08803152913143011, -0.03861584441355345, 0.012263042770262638, 0.10254231432918459, -0.16374563171641718, 0.015525356247301468, 0.3586635575788519, 0.21535475114201705, 0.3754469489636408, -0.4046796327351, -0.11000745215146294, 0.2493773711506616, 0.10788551559248431, 0.11906562341689343, -0.029798044526780195, -0.197437163929201, 0.09255087215437512, -0.15061278629582375, -0.06715786179781637, -0.09394873213022947, 0.05269663319499655, 0.06823669812134044, -0.35383666096128186, -0.044023537177550184, 0.06103105157275091, 0.03598929376510734, -0.05145278398148631, -0.16420023642554457, 0.03404142630593428, 0.15500561468070373, 0.018297180623366414, 0.001936166314408183, 0.0921652273020961, -0.15614983279639008, -0.23352549869609487, 0.38821388920769095, -0.07517097491720713, -0.19847486342769116, 0.1805623852256262, -0.1033819315965626, -0.15412486660617022, 0.10333333031105046, 0.10140084652018479, 0.18630759920713238, -0.07277543573978949, 0.10628473713652718, -0.15495383956427264, 0.20485182749954137, 0.07303679057142952, 0.03172608768165281, 0.0964611866934733, 0.09085142151823013, 0.2472211574435774, 0.07076419242565118, 0.06152394810818474, -0.20773639392361723, -0.2793932308823886, -0.11763589222788472, -0.15010324394362132, 0.04840950642739534, -0.1295457670664539, -0.18909997881432486, 0.3082603173626756, 0.11649244504091753, 0.07884698567530987, 0.16324142124424476, 0.29483958130533044, 0.09560502073542342, -0.028916330243439668, 0.18961265773131428, 0.23212449002577076, 0.021505403946238486, 0.07784136829220435, -0.19298180983803997, 0.1559303282834166, 0.031324161786787125] |
710.5583 | Instability for standing waves of nonlinear Klein-Gordon equations via
mountain-pass arguments | We introduce mountain-pass type arguments in the context of orbital
instability for Klein-Gordon equations. Our aim is to illustrate on two
examples how these arguments can be useful to simplify proofs and derive new
results of orbital stability/instability. For a power-type nonlinearity, we
prove that the ground states of the associated stationary equation are
minimizers of the functional "action" on a wide variety of constraints. For a
general nonlinearity, we extend to the dimension N=2 the classical instability
result for stationary solutions of nonlinear Klein-Gordon equations proved in
1985 by Shatah in dimension N>2.
| math.AP | we introduce mountainpass type arguments in the context of orbital instability for kleingordon equations our aim is to illustrate on two examples how these arguments can be useful to simplify proofs and derive new results of orbital stabilityinstability for a powertype nonlinearity we prove that the ground states of the associated stationary equation are minimizers of the functional action on a wide variety of constraints for a general nonlinearity we extend to the dimension n2 the classical instability result for stationary solutions of nonlinear kleingordon equations proved in 1985 by shatah in dimension n2 | [['we', 'introduce', 'mountainpass', 'type', 'arguments', 'in', 'the', 'context', 'of', 'orbital', 'instability', 'for', 'kleingordon', 'equations', 'our', 'aim', 'is', 'to', 'illustrate', 'on', 'two', 'examples', 'how', 'these', 'arguments', 'can', 'be', 'useful', 'to', 'simplify', 'proofs', 'and', 'derive', 'new', 'results', 'of', 'orbital', 'stabilityinstability', 'for', 'a', 'powertype', 'nonlinearity', 'we', 'prove', 'that', 'the', 'ground', 'states', 'of', 'the', 'associated', 'stationary', 'equation', 'are', 'minimizers', 'of', 'the', 'functional', 'action', 'on', 'a', 'wide', 'variety', 'of', 'constraints', 'for', 'a', 'general', 'nonlinearity', 'we', 'extend', 'to', 'the', 'dimension', 'n2', 'the', 'classical', 'instability', 'result', 'for', 'stationary', 'solutions', 'of', 'nonlinear', 'kleingordon', 'equations', 'proved', 'in', '1985', 'by', 'shatah', 'in', 'dimension', 'n2']] | [-0.14617324176311314, 0.06127246690696066, -0.09458681929143185, 0.12156709384524877, -0.10574716039279357, -0.13484651176258922, -0.00528400755943136, 0.25243587637359793, -0.2357834855347198, -0.24829076334804376, 0.12020186375222228, -0.2599502429366112, -0.18238998541331036, 0.22062894259331786, -0.07770189352610961, 0.08834319102993989, 0.05415813368249764, -0.004693221776409352, -0.05652686224896163, -0.2565524096258896, 0.3847432231649439, -0.07291339001459803, 0.21023754961788654, 0.03993356944200523, 0.06860756419321641, 0.007602329732493517, 0.02928684813594644, -0.0070565214895821635, -0.21463784236905842, 0.1150659201957751, 0.2423438022032063, 0.09723359773163387, 0.2837952232741295, -0.4461372381551786, -0.23755696597211856, 0.05548889652152169, 0.14017026602449092, 0.15691928280408474, -0.023926583906397857, -0.30040817835586187, 0.08907015228326967, -0.12270592046564723, -0.24861731047078253, -0.12237862031906843, 0.042128783234573426, 0.07256258388069715, -0.29502189136605633, 0.09490785765104946, 0.11100747203887837, 0.02527851757018807, -0.1515811887270018, -0.08238999469161153, -0.03300480810340811, 0.02415926504057852, 0.04649867282120233, -0.026995021583601595, 0.011796977554269611, -0.11082818875327072, -0.12768603512581359, 0.33180038614119306, -0.08146864203538032, -0.2829553176490392, 0.20279387685846775, -0.12245552203533774, -0.15607939738324506, 0.09836708022370697, 0.19510251131562634, 0.15526189042770483, -0.11805200033345596, 0.1417761583251512, -0.04294122825128997, 0.14079207806610206, 0.09025255669443373, 0.02980712919429123, 0.10671789161464636, 0.1014473843338721, 0.10395252789331084, 0.15855614403188426, 0.003949094637411032, -0.12435343833342988, -0.3456489508773418, -0.16044449258318288, -0.15962392697110772, 0.10798451622967865, -0.11257760646549286, -0.11771939402604674, 0.38434975342626904, 0.14985988745552567, 0.10945452623406147, 0.06777931010211877, 0.19170083054229914, 0.17976433629828922, -0.0248070962310947, 0.05034755706227325, 0.2480652324528374, 0.17225148716812677, 0.09570473106577992, -0.2158364625647664, -0.022815777504063668, 0.16874459046533608] |
710.5584 | Method of measurements with random perturbation: Application in
photoemission experiments | We report an application of a simultaneous perturbation stochastic
approximation (SPSA) algorithm to filtering systematic noise (SN) with non-zero
mean value in photoemission data. In our analysis we have used a series of 50
single-scan photoemission spectra of W(110) surface where randomly chosen SN
was added. It was found that the SPSA-evaluated spectrum is in good agreement
with the spectrum measured without SN. On the basis of our results a wide
application of SPSA for evaluation of experimental data is anticipated.
| math-ph math.MP | we report an application of a simultaneous perturbation stochastic approximation spsa algorithm to filtering systematic noise sn with nonzero mean value in photoemission data in our analysis we have used a series of 50 singlescan photoemission spectra of w110 surface where randomly chosen sn was added it was found that the spsaevaluated spectrum is in good agreement with the spectrum measured without sn on the basis of our results a wide application of spsa for evaluation of experimental data is anticipated | [['we', 'report', 'an', 'application', 'of', 'a', 'simultaneous', 'perturbation', 'stochastic', 'approximation', 'spsa', 'algorithm', 'to', 'filtering', 'systematic', 'noise', 'sn', 'with', 'nonzero', 'mean', 'value', 'in', 'photoemission', 'data', 'in', 'our', 'analysis', 'we', 'have', 'used', 'a', 'series', 'of', '50', 'singlescan', 'photoemission', 'spectra', 'of', 'w110', 'surface', 'where', 'randomly', 'chosen', 'sn', 'was', 'added', 'it', 'was', 'found', 'that', 'the', 'spsaevaluated', 'spectrum', 'is', 'in', 'good', 'agreement', 'with', 'the', 'spectrum', 'measured', 'without', 'sn', 'on', 'the', 'basis', 'of', 'our', 'results', 'a', 'wide', 'application', 'of', 'spsa', 'for', 'evaluation', 'of', 'experimental', 'data', 'is', 'anticipated']] | [-0.07510700726707001, 0.01193582879659516, -0.11587311294279061, 0.02776818807760719, -0.031579639349365606, -0.09255927852937021, 0.07409989916486666, 0.4439527660375461, -0.20003292716573923, -0.3305986431194469, 0.08086369501106674, -0.341463012911845, -0.12531460647005588, 0.2329378091963008, -0.035240879713092, 0.08888557049212978, 0.11552868018625304, -0.012705819273833185, -0.09430197970650625, -0.25555225138377863, 0.26120990808703937, 0.11411910667084157, 0.29708027830347417, 0.01985057619604049, 0.06792416497337399, 0.022803089336957783, -0.027419300899782683, 0.021278800198342652, -0.13479933011449247, 0.09128577957162634, 0.23918353309854865, 0.0707540987234097, 0.2505916780093685, -0.38086514146998524, -0.2129753261222504, 0.047522796306293455, 0.11158971847580687, 0.12184041128784884, -0.09876716223807307, -0.2577781015948858, 0.09516414506651927, -0.17501325840421486, -0.11392507374985143, -0.08186633539153262, -0.04078833719249815, 0.027399529644753784, -0.3062176683917642, 0.07848143494920805, -0.033404932501071016, 0.10755197694525123, -0.09797744227107615, -0.13490332072979072, -0.008578026009490713, 0.06291589509346522, 0.037532330740941686, 0.04682571238809032, 0.07447828539879993, -0.0439933073008433, -0.08806244498118758, 0.3684651419869624, -0.15254611353157088, -0.10622457198332995, 0.1084781221288722, -0.16711540445685386, -0.1309597969870083, 0.1747590650746133, 0.12329457852756605, 0.11973066347418353, -0.12144877086393535, 0.04971404116367921, -0.042560240823877396, 0.21283733727177606, 0.011901638936251402, 0.007553816591735085, 0.11822230127290823, 0.20355669704294996, 0.03204641593911219, 0.0952559966724948, -0.1721470104792388, -0.01740443994058296, -0.29060398527653886, -0.09834536804701202, -0.24412203166866675, 0.07562913946603658, -0.10098492367542349, -0.1769281590823084, 0.3936868381453678, 0.13690024929819627, 0.2288271009339951, 0.0008165862644091248, 0.28718719384633007, 0.13142327542009297, 0.03255055829649791, 0.019455751572968437, 0.2461695910897106, 0.14002277122344822, 0.11945956100826152, -0.21853947784984484, 0.0721996140666306, -0.01621373324887827] |
710.5585 | Devitrification of a glass-like arrested ferromagnetic phase in
La0.5Ca0.5MnO3 | Magnetization measurements in La0.5Ca0.5MnO3 manganite show that the
high-temperature long-range ferromagnetic-metallic phase transforms to
antiferromagnetic-insulating phase, although a fraction of
ferromagnetic-metallic phase undergoes glass-like kinetic arrest and coexists
at low temperature with the equilibrium antiferromagnetic-insulating phase. We
show here through resistivity measurements that the residual arrested
ferromagnetic-metallic fraction can be converted to the equilibrium
antiferromagnetic-insulating phase by successive annealing at higher
temperatures, possibly through heterogeneous nucleation of equilibrium phase.
Significantly, larger fractions of this glassy ferromagnetic-metallic phase can
be obtained by cooling in higher fields and larger conversion to equilibrium
antiferromagnetic-insulating phase results.
| cond-mat.str-el cond-mat.mtrl-sci | magnetization measurements in la05ca05mno3 manganite show that the hightemperature longrange ferromagneticmetallic phase transforms to antiferromagneticinsulating phase although a fraction of ferromagneticmetallic phase undergoes glasslike kinetic arrest and coexists at low temperature with the equilibrium antiferromagneticinsulating phase we show here through resistivity measurements that the residual arrested ferromagneticmetallic fraction can be converted to the equilibrium antiferromagneticinsulating phase by successive annealing at higher temperatures possibly through heterogeneous nucleation of equilibrium phase significantly larger fractions of this glassy ferromagneticmetallic phase can be obtained by cooling in higher fields and larger conversion to equilibrium antiferromagneticinsulating phase results | [['magnetization', 'measurements', 'in', 'la05ca05mno3', 'manganite', 'show', 'that', 'the', 'hightemperature', 'longrange', 'ferromagneticmetallic', 'phase', 'transforms', 'to', 'antiferromagneticinsulating', 'phase', 'although', 'a', 'fraction', 'of', 'ferromagneticmetallic', 'phase', 'undergoes', 'glasslike', 'kinetic', 'arrest', 'and', 'coexists', 'at', 'low', 'temperature', 'with', 'the', 'equilibrium', 'antiferromagneticinsulating', 'phase', 'we', 'show', 'here', 'through', 'resistivity', 'measurements', 'that', 'the', 'residual', 'arrested', 'ferromagneticmetallic', 'fraction', 'can', 'be', 'converted', 'to', 'the', 'equilibrium', 'antiferromagneticinsulating', 'phase', 'by', 'successive', 'annealing', 'at', 'higher', 'temperatures', 'possibly', 'through', 'heterogeneous', 'nucleation', 'of', 'equilibrium', 'phase', 'significantly', 'larger', 'fractions', 'of', 'this', 'glassy', 'ferromagneticmetallic', 'phase', 'can', 'be', 'obtained', 'by', 'cooling', 'in', 'higher', 'fields', 'and', 'larger', 'conversion', 'to', 'equilibrium', 'antiferromagneticinsulating', 'phase', 'results']] | [-0.1456379491675605, 0.3868697240938663, -0.1181077147653747, -0.04061919739795348, 0.02415279625234024, -0.10952744520299378, 0.1572998051947203, 0.35768850920571676, -0.28119764204627723, -0.25647262692131023, 0.07271066073939124, -0.2898307838827692, -0.08478818548422667, 0.11166852597467682, 0.061975267069834854, -0.0366670610883864, -0.05553811670140794, -0.07343984497222869, -0.18515455142484719, -0.19220970212531988, 0.2051102641959905, 0.015992508580287296, 0.30858612730998985, 0.03437562702443971, 0.04263410630625903, -0.08734855766732669, 0.18040552144489622, 0.06855156427870195, -0.18059339203639582, -0.13359569420697548, 0.2829204489031346, -0.05109130526061661, 0.15322357326024963, -0.4597504143753359, -0.24075905217598842, 0.11451670122883653, 0.1534242549891113, 0.11308398914913978, -0.07507324214744311, -0.24064298737193307, 0.04709029115576257, -0.14413477170972094, -0.08648306874641104, -0.1597141274901968, -0.059188691824073755, -0.02616256359784353, -0.24398151612890664, 0.21090316965234696, 0.06167585121953399, 0.07284841610128762, -0.10670182267103785, -0.13367165190478167, -0.12182562853590215, 0.006801138156323984, -0.009802763292726169, 0.09664168880791754, 0.21109657733130358, -0.10607491372784059, -0.053581427091792706, 0.3402953382120818, -0.07303955439998898, 0.02555935761781149, 0.167890354350049, -0.23300865976520443, -0.09047603600167779, 0.3457251957026861, 0.12250590758017635, 0.07442436833685685, -0.11780674902782325, -0.06282113173379443, 0.10616054544625904, 0.22270969461189002, 0.015155269261149148, 0.0161652145281394, 0.24133491106531632, 0.18782188774647332, 0.013528666879621244, 0.24250494810422102, -0.0688707200794353, -0.17626124709564192, -0.16548103720365312, -0.1662842333366874, -0.18973693992662174, 0.054200031253839695, -0.12651459068048657, -0.15259630550500206, 0.28311492013995365, 0.15273590581691873, 0.182746990854221, -0.02108135148106764, 0.27121345673797914, 0.11022986183744124, 0.01192996225830528, 0.03805596210683385, 0.2677477861914824, 0.15512052378166588, 0.19414063347553615, -0.30760105619687705, 0.14756608997241302, 0.047121285360747125] |
710.5586 | Suppression of rectification at metal-Mott-insulator interfaces | Charge transport through metal-Mott-insulator interfaces is studied and
compared with that through metal-band-insulator interfaces. For band
insulators, rectification has been known to occur owing to a Schottky barrier,
which is produced by the work-function difference. For Mott insulators,
however, qualitatively different current-voltage characteristics are obtained.
Theoretically, we use the one-dimensional Hubbard model for a Mott insulator
and attach to it the tight-binding model for metallic electrodes. A Schottky
barrier is introduced by a solution to the Poisson equation with a simplified
density-potential relation. The current density is calculated by solving the
time-dependent Schr\"odinger equation. We mainly use the time-dependent
Hartree-Fock approximation, and also use exact many-electron wave functions on
small systems for comparison. Rectification is found to be strongly suppressed
even for large work-function differences. We show its close relationship with
the fact that field-effect injections into one-dimensional Mott insulators are
ambipolar. Experimentally, we fabricated asymmetric contacts on top of single
crystals of quasi-one-dimensional organic Mott and band insulators.
Rectification is strongly suppressed at an interface between metallic magnesium
and Mott-insulating (BEDT-TTF)(F$_2$TCNQ)
[BEDT-TTF=bis(ethylenedithio)tetrathiafulvalene,
F$_2$TCNQ=2,5-difluorotetracyanoquinodimethane].
| cond-mat.str-el cond-mat.mes-hall | charge transport through metalmottinsulator interfaces is studied and compared with that through metalbandinsulator interfaces for band insulators rectification has been known to occur owing to a schottky barrier which is produced by the workfunction difference for mott insulators however qualitatively different currentvoltage characteristics are obtained theoretically we use the onedimensional hubbard model for a mott insulator and attach to it the tightbinding model for metallic electrodes a schottky barrier is introduced by a solution to the poisson equation with a simplified densitypotential relation the current density is calculated by solving the timedependent schrodinger equation we mainly use the timedependent hartreefock approximation and also use exact manyelectron wave functions on small systems for comparison rectification is found to be strongly suppressed even for large workfunction differences we show its close relationship with the fact that fieldeffect injections into onedimensional mott insulators are ambipolar experimentally we fabricated asymmetric contacts on top of single crystals of quasionedimensional organic mott and band insulators rectification is strongly suppressed at an interface between metallic magnesium and mottinsulating bedtttff_2tcnq bedtttfbisethylenedithiotetrathiafulvalene f_2tcnq25difluorotetracyanoquinodimethane | [['charge', 'transport', 'through', 'metalmottinsulator', 'interfaces', 'is', 'studied', 'and', 'compared', 'with', 'that', 'through', 'metalbandinsulator', 'interfaces', 'for', 'band', 'insulators', 'rectification', 'has', 'been', 'known', 'to', 'occur', 'owing', 'to', 'a', 'schottky', 'barrier', 'which', 'is', 'produced', 'by', 'the', 'workfunction', 'difference', 'for', 'mott', 'insulators', 'however', 'qualitatively', 'different', 'currentvoltage', 'characteristics', 'are', 'obtained', 'theoretically', 'we', 'use', 'the', 'onedimensional', 'hubbard', 'model', 'for', 'a', 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710.5587 | Chiral Symmetry and Neutrino Pion Production off the Nucleon | The neutrino pion production off the nucleon is traditionally described in
the literature by means of the weak excitation of the Delta(1232) resonance and
its subsequent decay into N pi. Here, we present results from a model that
includes also some background terms required by chiral symmetry. We show that
the contribution of these terms is sizeable and leads to significant effects in
total and partially integrated pion production cross sections at intermediate
energies of interest for neutrino oscillation experiments. Finally, we discuss
parity-violating contributions to the pion angular differential cross section
induced by the interference of these non-resonant terms with the Delta piece.
| hep-ex hep-ph nucl-th | the neutrino pion production off the nucleon is traditionally described in the literature by means of the weak excitation of the delta1232 resonance and its subsequent decay into n pi here we present results from a model that includes also some background terms required by chiral symmetry we show that the contribution of these terms is sizeable and leads to significant effects in total and partially integrated pion production cross sections at intermediate energies of interest for neutrino oscillation experiments finally we discuss parityviolating contributions to the pion angular differential cross section induced by the interference of these nonresonant terms with the delta piece | [['the', 'neutrino', 'pion', 'production', 'off', 'the', 'nucleon', 'is', 'traditionally', 'described', 'in', 'the', 'literature', 'by', 'means', 'of', 'the', 'weak', 'excitation', 'of', 'the', 'delta1232', 'resonance', 'and', 'its', 'subsequent', 'decay', 'into', 'n', 'pi', 'here', 'we', 'present', 'results', 'from', 'a', 'model', 'that', 'includes', 'also', 'some', 'background', 'terms', 'required', 'by', 'chiral', 'symmetry', 'we', 'show', 'that', 'the', 'contribution', 'of', 'these', 'terms', 'is', 'sizeable', 'and', 'leads', 'to', 'significant', 'effects', 'in', 'total', 'and', 'partially', 'integrated', 'pion', 'production', 'cross', 'sections', 'at', 'intermediate', 'energies', 'of', 'interest', 'for', 'neutrino', 'oscillation', 'experiments', 'finally', 'we', 'discuss', 'parityviolating', 'contributions', 'to', 'the', 'pion', 'angular', 'differential', 'cross', 'section', 'induced', 'by', 'the', 'interference', 'of', 'these', 'nonresonant', 'terms', 'with', 'the', 'delta', 'piece']] | [-0.09824501864232633, 0.21827043139357835, -0.03663313983885858, 0.11614953928242008, -0.02138051442363156, -0.031028890838989846, 0.04822955714301385, 0.32003430186663395, -0.21901981360189474, -0.2636516363933109, -0.03663998442061711, -0.3497045264274885, -0.0812854255592146, 0.16523480654219524, 0.08146760542205392, 0.0586031054324569, 0.06335896357240227, 0.03869475803982753, -0.02846583213361625, -0.1991020921492376, 0.37457838478999644, 0.06156838547366743, 0.21217909122844084, 0.19802784340348667, 0.08494218521928605, 0.039078455503421046, -0.07869238503022083, -0.0432408008357295, -0.13490813907502833, 0.08814975673270126, 0.2381599254350966, 0.048707423521241605, 0.10785103700338648, -0.40521451619525367, -0.11952263809955464, 0.11025639317533485, 0.1658760908131416, 0.13484000153123185, -0.057360789693820365, -0.2951326255077639, 0.06387364834350032, -0.21545504505495325, -0.11923132558317426, -0.1006767000138867, 0.0026894522956214272, -0.013644576574174257, -0.2811103225327455, 0.09357203349505792, 0.01734388918759158, 0.008664756928248188, -0.03553971404303761, -0.20831965176666228, -0.034229147559157215, 0.0681827821670315, 0.1369310763716035, 0.017196536501824785, 0.1456682176268749, -0.15793172628260577, -0.12993402460751197, 0.3824184820987284, -0.0924389420794726, -0.17780755318325156, 0.06884924025059892, -0.20014622735414797, -0.09442405131435058, 0.20025645036142892, 0.19537943506685013, 0.04875637238980674, -0.1787861904102521, 0.09446308193477868, -0.004026392985206957, 0.16365819334280857, 0.09704242675126387, 0.07109249206349397, 0.18954472390424387, 0.16570277632966351, -0.0019652747611801783, 0.08144162466991335, -0.12144758334257998, -0.06965696871674691, -0.42186162069153327, -0.08366678007699263, -0.045130834834148675, 0.0775898679275997, -0.02526969945602804, -0.07583404573289534, 0.37753456053682244, 0.07341244651112132, 0.25953852720200443, -0.019096080934664663, 0.3463514134502755, 0.15412793692611068, 0.07571428563320436, 0.015257481633363148, 0.3065184575582232, 0.18410804506633072, 0.10723420964607683, -0.2872305641806004, 0.02430185100260692, 0.02845652325777337] |
710.5588 | Hall algebras associated to triangulated categories, II: almost
associativity | By using the approach in \cite{XX2006} to Hall algebras arising in
homologically finite triangulated categories, we find an `almost' associative
multiplication structure for indecomposable objects in a 2-periodic
triangulated category. As an application, we give a new proof of the theorem of
Peng and Xiao in \cite{PX2000} which provides a way of realizing symmetrizable
Kac-Moody algebras and elliptic Lie algebras via 2-periodic triangulated
categories.
| math.RT math.RA | by using the approach in citexx2006 to hall algebras arising in homologically finite triangulated categories we find an almost associative multiplication structure for indecomposable objects in a 2periodic triangulated category as an application we give a new proof of the theorem of peng and xiao in citepx2000 which provides a way of realizing symmetrizable kacmoody algebras and elliptic lie algebras via 2periodic triangulated categories | [['by', 'using', 'the', 'approach', 'in', 'citexx2006', 'to', 'hall', 'algebras', 'arising', 'in', 'homologically', 'finite', 'triangulated', 'categories', 'we', 'find', 'an', 'almost', 'associative', 'multiplication', 'structure', 'for', 'indecomposable', 'objects', 'in', 'a', '2periodic', 'triangulated', 'category', 'as', 'an', 'application', 'we', 'give', 'a', 'new', 'proof', 'of', 'the', 'theorem', 'of', 'peng', 'and', 'xiao', 'in', 'citepx2000', 'which', 'provides', 'a', 'way', 'of', 'realizing', 'symmetrizable', 'kacmoody', 'algebras', 'and', 'elliptic', 'lie', 'algebras', 'via', '2periodic', 'triangulated', 'categories']] | [-0.1701509795255131, 0.02532548951548672, -0.10810824924163402, 0.047804071604909876, -0.1099482314395053, -0.17654412264181746, -0.06343335468721177, 0.38618606710363, -0.4324527696691572, -0.22125277149357966, 0.09090217404688399, -0.16832268234718376, -0.14760523026029299, 0.2253988647744769, -0.268660376646689, -0.10642425205913328, 0.07563223848341122, 0.07707717985151306, -0.0676521827237651, -0.2832543843994952, 0.46638660443325836, -0.059782879469576215, 0.1945884174238595, 0.047669068984096015, 0.13416772541250027, 0.03136533121800139, 0.002556065067885414, 0.002965338971643221, -0.15677950290098255, 0.15720396964914268, 0.3925781245380344, -0.0400430534241928, 0.14427481489202898, -0.34250872200059274, -0.030973303878295517, 0.13710950247736442, 0.1635292865528119, 0.07337258759671675, -0.11525596519340835, -0.3144743514380285, 0.09640596461083208, -0.29148926500171896, -0.11945762400264068, -0.0876825599199427, 0.11085137099559818, -0.05612154712989217, -0.2545587205196849, 0.007376205375684159, 0.1257083091500496, 0.18213328671833826, -0.17344576599342482, -0.07920236464235045, -0.0968985656010253, 0.08209297729892627, -0.15502446111557738, -0.016762148138017408, 0.10899026430995455, -0.09768193253936867, -0.2594805057604043, 0.32631866373713053, -0.011876098599122276, -0.21305360313918856, 0.11365905284349408, -0.12062980039950667, -0.179202240041738, 0.11887395582974904, 0.027265232913787404, 0.16249703332072213, -0.040214407205071655, 0.21197999029102485, -0.17841308976390532, -0.0490883981165964, 0.10694720710642518, 0.002959902383505352, 0.1568214096284161, 0.16087669834110235, 0.036527736881186094, 0.18439457690461525, 0.06306181741242725, 0.004671669136437159, -0.3540355476831633, -0.21273036482965663, -0.05457793927145383, 0.20152325024976145, -0.09986198565965178, -0.22489259989252167, 0.3626460771183557, 0.11479211345108019, 0.19865139315111768, 0.15280166610018425, 0.18635203683423618, 0.01679689071828588, 0.1321633750543235, 0.05055176385397476, 0.10043227235003123, 0.33041260214448565, -0.0008490186421171068, -0.027320673009232868, -0.09686408143135763, 0.29210189337443027] |
710.5589 | A note on perturbative aspects of Leigh-Strassler deformed N=4 SYM
theory | We carry out a perturbative study of the Leigh-Strassler deformed N=4 SYM
theory in order to verify that the trihedral Delta(27) symmetry holds in the
quantum theory. We show that the Delta(27) symmetry is preserved to two loops
(at finite N) by explicitly computing the superpotential. The perturbative
superpotential is not holomorphic in the couplings due to finite contributions.
However, there exist coupling constant redefinitions that restore holomorphy.
Interestingly, the same redefinitions appear (in the work of Jack, Jones and
North[hep-ph/9603386]) if one requires the three-loop anomalous dimension to
vanish in a theory where the one-loop anomalous dimension vanishes. However,
the two field redefinitions seem to differ by a factor of two.
| hep-th | we carry out a perturbative study of the leighstrassler deformed n4 sym theory in order to verify that the trihedral delta27 symmetry holds in the quantum theory we show that the delta27 symmetry is preserved to two loops at finite n by explicitly computing the superpotential the perturbative superpotential is not holomorphic in the couplings due to finite contributions however there exist coupling constant redefinitions that restore holomorphy interestingly the same redefinitions appear in the work of jack jones and northhepph9603386 if one requires the threeloop anomalous dimension to vanish in a theory where the oneloop anomalous dimension vanishes however the two field redefinitions seem to differ by a factor of two | [['we', 'carry', 'out', 'a', 'perturbative', 'study', 'of', 'the', 'leighstrassler', 'deformed', 'n4', 'sym', 'theory', 'in', 'order', 'to', 'verify', 'that', 'the', 'trihedral', 'delta27', 'symmetry', 'holds', 'in', 'the', 'quantum', 'theory', 'we', 'show', 'that', 'the', 'delta27', 'symmetry', 'is', 'preserved', 'to', 'two', 'loops', 'at', 'finite', 'n', 'by', 'explicitly', 'computing', 'the', 'superpotential', 'the', 'perturbative', 'superpotential', 'is', 'not', 'holomorphic', 'in', 'the', 'couplings', 'due', 'to', 'finite', 'contributions', 'however', 'there', 'exist', 'coupling', 'constant', 'redefinitions', 'that', 'restore', 'holomorphy', 'interestingly', 'the', 'same', 'redefinitions', 'appear', 'in', 'the', 'work', 'of', 'jack', 'jones', 'and', 'northhepph9603386', 'if', 'one', 'requires', 'the', 'threeloop', 'anomalous', 'dimension', 'to', 'vanish', 'in', 'a', 'theory', 'where', 'the', 'oneloop', 'anomalous', 'dimension', 'vanishes', 'however', 'the', 'two', 'field', 'redefinitions', 'seem', 'to', 'differ', 'by', 'a', 'factor', 'of', 'two']] | [-0.20013119790258374, 0.21505499236822664, -0.07425557438133133, 0.093733833521722, -0.0868926626160271, -0.16478866148270196, -0.004235324176103884, 0.31261554070085557, -0.21246683101488595, -0.22868273046228463, 0.05002396979037806, -0.27007591489467536, -0.16731853119248674, 0.07465581742885129, -0.018596289880775118, 0.004925269042015882, -0.04546551757517296, 0.06640915540969922, -0.11839278733886376, -0.320622165624455, 0.33581503710147365, -0.04808171006309724, 0.2552490144514957, 0.12021271641122865, 0.07850604377863174, -0.032648440428405395, 0.0008482790241638819, -0.028129872979243863, -0.07601720076949736, 0.07620095192435877, 0.25565091734080836, 0.0001654495888385452, 0.15676762086028853, -0.42529213019050993, -0.15786820401538265, 0.11003763443446374, 0.18615629603700326, 0.11868072226895271, 0.01851415425236966, -0.217164130260547, 0.08715140688241468, -0.16888110158411232, -0.19757288913787888, -0.15106835597203122, -0.006301662845847507, -0.15562444087537425, -0.2702072825563887, 0.06048182913244845, 0.05223782974618344, 0.04739511754732948, 0.015257462011734108, -0.061243051973481975, -0.07272742720958483, 0.11106031490615695, 0.14775234045930677, 0.0482056024673118, 0.1056845068684066, -0.20512127545704176, -0.1363127692188304, 0.39213818720298577, -0.06734092464473367, -0.22407478879851936, 0.10005423927318875, -0.21777134866722198, -0.2379903614076341, 0.10984984240578571, 0.055141892754011324, 0.1288159151673254, -0.10385579139262706, 0.2630167219295955, -0.03238203945393498, 0.12883168327630506, 0.13103030413087155, 0.0010858717382893905, 0.15331482640593438, 0.0027531108405726315, 0.037498768255416606, 0.1026432741232015, 0.04106674747759694, -0.1304950745449074, -0.43553691786957216, -0.10424810293055065, -0.158221825806273, 0.10968260409801817, -0.11874213575179424, -0.17556206285450104, 0.3662265220715723, 0.17554736738554663, 0.18766896269988972, 0.04888451540305674, 0.22652205993916402, 0.12767939103414883, 0.15552656059069475, 0.05226263118622539, 0.28420239144952986, 0.1739609724388936, 0.02643962939446037, -0.2714288605136906, -0.06953661907768414, 0.17583895437335512] |
710.559 | Gauguin's questions in particle physics: Where are we coming from? What
are we? Where are we going? | Within particle physics itself, Gauguin's questions may be interpreted as: P1
- What is the status of the Standard Model? P2 - What physics may lie beyond
the Standard Model? P3 - What is the `Theory of Everything'? Gauguin's
questions may also asked within a cosmological context: C1 - What were the
early stages of the Big Bang? C2 - What is the material content of the Universe
today? C3 - What is the future of the Universe? In this talk I preview many of
the topics to be discussed in the plenary sessions of this conference,
highlighting how they bear on these fundamental questions.
| hep-ph | within particle physics itself gauguins questions may be interpreted as p1 what is the status of the standard model p2 what physics may lie beyond the standard model p3 what is the theory of everything gauguins questions may also asked within a cosmological context c1 what were the early stages of the big bang c2 what is the material content of the universe today c3 what is the future of the universe in this talk i preview many of the topics to be discussed in the plenary sessions of this conference highlighting how they bear on these fundamental questions | [['within', 'particle', 'physics', 'itself', 'gauguins', 'questions', 'may', 'be', 'interpreted', 'as', 'p1', 'what', 'is', 'the', 'status', 'of', 'the', 'standard', 'model', 'p2', 'what', 'physics', 'may', 'lie', 'beyond', 'the', 'standard', 'model', 'p3', 'what', 'is', 'the', 'theory', 'of', 'everything', 'gauguins', 'questions', 'may', 'also', 'asked', 'within', 'a', 'cosmological', 'context', 'c1', 'what', 'were', 'the', 'early', 'stages', 'of', 'the', 'big', 'bang', 'c2', 'what', 'is', 'the', 'material', 'content', 'of', 'the', 'universe', 'today', 'c3', 'what', 'is', 'the', 'future', 'of', 'the', 'universe', 'in', 'this', 'talk', 'i', 'preview', 'many', 'of', 'the', 'topics', 'to', 'be', 'discussed', 'in', 'the', 'plenary', 'sessions', 'of', 'this', 'conference', 'highlighting', 'how', 'they', 'bear', 'on', 'these', 'fundamental', 'questions']] | [-0.07689044682174614, 0.14681148106597133, -0.1190497779873075, 0.16637531792044102, -0.11120685711311004, -0.13854134413557723, -0.012742890233471606, 0.30299166480400935, -0.31566677230995954, -0.3287561983110133, 0.15566886682783435, -0.26646782673856956, -0.11142051082642115, 0.15991380187735615, -0.10176880314427707, -0.042520969606859166, 0.018103901604094457, 0.10948449143775038, -0.03753965248572208, -0.3594376573473522, 0.3196067357052972, 0.10473712414656718, 0.19660855669374624, 0.06013534602603501, -0.030859577277502447, -0.08726220826147911, -0.04118142188670709, -0.020471666869947436, -0.15523376846752016, 0.0974262337363565, 0.305972118722755, 0.24765030728153808, 0.2945750339590397, -0.4424848698617257, -0.20853832164376052, 0.08962434697620206, 0.1446345750957766, 0.08620853344765828, -0.038000009182274114, -0.2695847931462004, 0.051311241827074666, -0.11789657772739523, -0.15533501185841628, 0.05180101343142541, 0.02151701251793768, -0.016698110022956562, -0.12135177543962893, 0.044854952250163255, 0.06757583195036374, 0.04389735643593498, -0.008994223204316552, -0.1060562723018613, 0.030591559591559098, 0.12881771853846527, 0.06926376438104384, 0.06772016180852025, 0.159282113146997, -0.1914059522600134, -0.13471175536282898, 0.48585689728407516, -0.014992697652880601, -0.1021938864189709, 0.14428548012696898, -0.21351143057198868, -0.18063217313652954, 0.030264305481303138, 0.12424600003743257, 0.07917033304873201, -0.15698993618008392, 0.1346229777056916, -0.0659014931927944, 0.15161382290774705, 0.05479975768182542, 0.004448166702749189, 0.3123638086193769, 0.1942507938395456, -0.04432080980851171, -0.010130015636323807, 0.007041528487347604, -0.10269423785917077, -0.3952856902993217, -0.16554771525516493, -0.08737538928242843, 0.06443597414751642, -0.03704784452235902, -0.10480642735420428, 0.3973201917887656, 0.20254020367811443, 0.16710645922930123, -0.08286968332993769, 0.22199793184924985, 0.023852278182004607, 0.02235889972485218, 0.02669555481916927, 0.24944477593622258, 0.07967051088128277, 0.17918339241584091, -0.11741246420832485, 0.05927511551369404, 0.05916780431889305] |
710.5591 | Effects of the stellar wind on X-ray spectra of Cygnus X-3 | We study X-ray spectra of Cyg X-3 from BeppoSAX, taking into account
absorption and emission in the strong stellar wind of its companion. We find
the intrinsic X-ray spectra are well modelled by disc blackbody emission, its
upscattering by hot electrons with a hybrid distribution, and by Compton
reflection. These spectra are strongly modified by absorption and reprocessing
in the stellar wind, which we model using the photoionization code cloudy. The
form of the observed spectra implies the wind is composed of two phases. A hot
tenuous plasma containing most of the wind mass is required to account for the
observed features of very strongly ionized Fe. Small dense cool clumps filling
<0.01 of the volume are required to absorb the soft X-ray excess, which is
emitted by the hot phase but not present in the data. The total mass-loss rate
is found to be (0.6--1.6) x 10^-5 solar masses per year. We also discuss the
feasibility of the continuum model dominated by Compton reflection, which we
find to best describe our data. The intrinsic luminosities of our models
suggest that the compact object is a black hole.
| astro-ph | we study xray spectra of cyg x3 from bepposax taking into account absorption and emission in the strong stellar wind of its companion we find the intrinsic xray spectra are well modelled by disc blackbody emission its upscattering by hot electrons with a hybrid distribution and by compton reflection these spectra are strongly modified by absorption and reprocessing in the stellar wind which we model using the photoionization code cloudy the form of the observed spectra implies the wind is composed of two phases a hot tenuous plasma containing most of the wind mass is required to account for the observed features of very strongly ionized fe small dense cool clumps filling 001 of the volume are required to absorb the soft xray excess which is emitted by the hot phase but not present in the data the total massloss rate is found to be 0616 x 105 solar masses per year we also discuss the feasibility of the continuum model dominated by compton reflection which we find to best describe our data the intrinsic luminosities of our models suggest that the compact object is a black hole | [['we', 'study', 'xray', 'spectra', 'of', 'cyg', 'x3', 'from', 'bepposax', 'taking', 'into', 'account', 'absorption', 'and', 'emission', 'in', 'the', 'strong', 'stellar', 'wind', 'of', 'its', 'companion', 'we', 'find', 'the', 'intrinsic', 'xray', 'spectra', 'are', 'well', 'modelled', 'by', 'disc', 'blackbody', 'emission', 'its', 'upscattering', 'by', 'hot', 'electrons', 'with', 'a', 'hybrid', 'distribution', 'and', 'by', 'compton', 'reflection', 'these', 'spectra', 'are', 'strongly', 'modified', 'by', 'absorption', 'and', 'reprocessing', 'in', 'the', 'stellar', 'wind', 'which', 'we', 'model', 'using', 'the', 'photoionization', 'code', 'cloudy', 'the', 'form', 'of', 'the', 'observed', 'spectra', 'implies', 'the', 'wind', 'is', 'composed', 'of', 'two', 'phases', 'a', 'hot', 'tenuous', 'plasma', 'containing', 'most', 'of', 'the', 'wind', 'mass', 'is', 'required', 'to', 'account', 'for', 'the', 'observed', 'features', 'of', 'very', 'strongly', 'ionized', 'fe', 'small', 'dense', 'cool', 'clumps', 'filling', '001', 'of', 'the', 'volume', 'are', 'required', 'to', 'absorb', 'the', 'soft', 'xray', 'excess', 'which', 'is', 'emitted', 'by', 'the', 'hot', 'phase', 'but', 'not', 'present', 'in', 'the', 'data', 'the', 'total', 'massloss', 'rate', 'is', 'found', 'to', 'be', '0616', 'x', '105', 'solar', 'masses', 'per', 'year', 'we', 'also', 'discuss', 'the', 'feasibility', 'of', 'the', 'continuum', 'model', 'dominated', 'by', 'compton', 'reflection', 'which', 'we', 'find', 'to', 'best', 'describe', 'our', 'data', 'the', 'intrinsic', 'luminosities', 'of', 'our', 'models', 'suggest', 'that', 'the', 'compact', 'object', 'is', 'a', 'black', 'hole']] | [-0.05861555250421008, 0.15860616849200365, -0.030702336612058446, 0.11349097242024034, -0.05816642520082322, -0.07718367154457349, 0.023270051456997766, 0.4423826806286865, -0.2014187729472859, -0.3533261889750336, 0.048590319770502245, -0.3250172343451847, 0.007221885172878095, 0.19981841624347849, -0.026652303014069477, -0.029885632082562338, 0.03842883066774564, -0.09800673547161227, -0.020114178228083045, -0.2057571077578146, 0.32647674286767764, 0.07442330578007696, 0.13585862082409414, 0.046126325520627356, 0.04977969383756491, -0.06308718484410263, -0.04206084588819996, -0.01415908554113133, -0.0820573255785619, 0.0864815778901523, 0.1879288939993243, 0.11338471580777278, 0.15040052624449055, -0.3900577114211356, -0.2688128401353792, 0.0222701232910077, 0.14271948565146886, -0.0007865013835822887, -0.05677891558065931, -0.21933589205443066, 0.030024142326858946, -0.22296305164135002, -0.13618957888498467, 0.02901898014874376, 0.016232307717957077, 0.022531318986210032, -0.23263391371856026, 0.10450522720852763, 0.03785613366152517, 0.009203614488719626, -0.14217274498684887, -0.06024171286658879, -0.1031002073209396, 0.0411815418207899, 0.056433261775887235, 0.012991993933262185, 0.1876594021896574, -0.10266978591135605, -0.02723749207600238, 0.4393549443301844, -0.09481847131664449, -0.009431385275402522, 0.1939137823423965, -0.25385415942311856, -0.12236833644218426, 0.25779886135058677, 0.14117947067233158, 0.1189813664074036, -0.16444893608097622, 0.009825082037268463, -0.05540731966005084, 0.229275996125541, 0.01446104742229936, 0.05304505505371205, 0.3327836237372236, 0.1251831206145072, -0.06948090837822553, 0.15378331973005652, -0.21108756680289245, -8.327125923391035e-05, -0.24500994837890563, -0.07921585014605141, -0.1490127225610814, 0.08813112418972602, -0.10288283446324714, -0.15163265415368246, 0.3386329969417854, 0.12167049352106876, 0.23464349217395833, -0.01903104998401683, 0.35355881792295013, 0.15793050429783762, 0.056114435636814924, 0.16817063309668384, 0.3153616164345294, 0.1620744927343541, 0.08705321956980736, -0.2642913241189548, 0.06070450789225783, 0.018558030071212574] |
710.5592 | Quantum Query Algorithm Constructions for Computing AND, OR and MAJORITY
Boolean Functions | Quantum algorithms can be analyzed in a query model to compute Boolean
functions where input is given in a black box and the aim is to compute
function value for arbitrary input using as few queries as possible. We
concentrate on quantum query algorithm designing tasks in this paper. The main
aim of the research was to find new efficient algorithms and develop general
algorithm designing techniques. First, we present several exact quantum query
algorithms for certain problems that are better than classical counterparts.
Next, we introduce algorithm transformation methods that allow significant
enlarging of exactly computable functions sets. Finally, we propose quantum
algorithm designing methods. Given algorithms for the set of sub-functions, our
methods use them to design a more complex one, based on algorithms described
before. Methods are applicable for input algorithms with specific properties
and preserve acceptable error probability and number of queries. Methods offer
constructions for computing AND, OR and MAJORITY kinds of Boolean functions.
| quant-ph | quantum algorithms can be analyzed in a query model to compute boolean functions where input is given in a black box and the aim is to compute function value for arbitrary input using as few queries as possible we concentrate on quantum query algorithm designing tasks in this paper the main aim of the research was to find new efficient algorithms and develop general algorithm designing techniques first we present several exact quantum query algorithms for certain problems that are better than classical counterparts next we introduce algorithm transformation methods that allow significant enlarging of exactly computable functions sets finally we propose quantum algorithm designing methods given algorithms for the set of subfunctions our methods use them to design a more complex one based on algorithms described before methods are applicable for input algorithms with specific properties and preserve acceptable error probability and number of queries methods offer constructions for computing and or and majority kinds of boolean functions | [['quantum', 'algorithms', 'can', 'be', 'analyzed', 'in', 'a', 'query', 'model', 'to', 'compute', 'boolean', 'functions', 'where', 'input', 'is', 'given', 'in', 'a', 'black', 'box', 'and', 'the', 'aim', 'is', 'to', 'compute', 'function', 'value', 'for', 'arbitrary', 'input', 'using', 'as', 'few', 'queries', 'as', 'possible', 'we', 'concentrate', 'on', 'quantum', 'query', 'algorithm', 'designing', 'tasks', 'in', 'this', 'paper', 'the', 'main', 'aim', 'of', 'the', 'research', 'was', 'to', 'find', 'new', 'efficient', 'algorithms', 'and', 'develop', 'general', 'algorithm', 'designing', 'techniques', 'first', 'we', 'present', 'several', 'exact', 'quantum', 'query', 'algorithms', 'for', 'certain', 'problems', 'that', 'are', 'better', 'than', 'classical', 'counterparts', 'next', 'we', 'introduce', 'algorithm', 'transformation', 'methods', 'that', 'allow', 'significant', 'enlarging', 'of', 'exactly', 'computable', 'functions', 'sets', 'finally', 'we', 'propose', 'quantum', 'algorithm', 'designing', 'methods', 'given', 'algorithms', 'for', 'the', 'set', 'of', 'subfunctions', 'our', 'methods', 'use', 'them', 'to', 'design', 'a', 'more', 'complex', 'one', 'based', 'on', 'algorithms', 'described', 'before', 'methods', 'are', 'applicable', 'for', 'input', 'algorithms', 'with', 'specific', 'properties', 'and', 'preserve', 'acceptable', 'error', 'probability', 'and', 'number', 'of', 'queries', 'methods', 'offer', 'constructions', 'for', 'computing', 'and', 'or', 'and', 'majority', 'kinds', 'of', 'boolean', 'functions']] | [-0.06068851083807015, 0.011678075886466218, -0.050241009150661015, 0.12397211797479775, -0.08621548925989173, -0.20728937484640278, 0.07986500189542982, 0.44220562238735295, -0.24779887361533987, -0.3241484249479272, 0.0869953223056037, -0.22433073498870967, -0.2013711580324262, 0.2728049616393803, -0.08073077003073252, 0.1521078755833068, 0.05881273387653062, 0.03263273286199748, -0.11381695984530339, -0.32231882096666536, 0.30311025662125096, 0.013253725631713117, 0.23318335792319206, 0.00527773403603607, 0.08430360966294699, 0.002799605215612635, -0.03585709274728906, 0.039591144044069375, -0.14537832904184228, 0.15903910027477164, 0.3079972466696991, 0.2536575219699375, 0.31287193698398535, -0.4272577174406194, -0.15045405410042723, 0.1388316804677857, 0.1469182767773504, 0.16447909483870962, -0.032068505948105584, -0.24501575645844234, 0.12792831162684862, -0.13175349746268453, -0.042508499177008774, -0.1489672223750338, 0.006231272228519028, 0.03389367669800285, -0.2884577686763691, -0.0035142890695358388, 0.03695473858336889, 0.017640242991535545, -0.0372372625729526, -0.12450780502576146, 0.11502753834111276, 0.1382057368974992, -0.03559578172994321, 0.04589831331487065, 0.12110158333660297, -0.10275223818256186, -0.2387086843556297, 0.3870526406117393, 0.0070251318948810525, -0.23259835472951332, 0.1588716415685467, -0.04885955840794358, -0.1751133793695543, 0.09433478188156239, 0.22684843407697836, 0.16496335331397424, -0.12912941816608486, 0.09331203588075335, -0.009665338621246364, 0.15686678369793128, 0.043985838692857875, 0.06802724732807984, 0.15601668484016973, 0.16019144065607832, 0.09691139913907966, 0.1859723798888179, -0.014024674882358175, -0.09235893319391664, -0.2623568285350342, -0.14041678664500024, -0.18763024874804718, -0.02004479097184848, -0.10963412074012675, -0.20206892759826198, 0.38495997686243655, 0.21734907737255474, 0.1699223710200603, 0.12112634424003041, 0.3454586081089651, 0.11264601207066272, 0.057684259811334265, 0.14266230750817266, 0.13396439113897277, 0.06115731758756692, 0.05965536411664209, -0.13481154027556028, 0.08083193313107832, 0.11408388153972022] |
710.5593 | Non-Hermitian Hamiltonians, Metric, Other Observables and Physical
Implications | The metric associated with a quasi-Hermitian Hamiltonian and its physical
implications are scrutinised. Consequences of the non-uniqueness such as the
question of the probability interpretation and the possible and forbidden
choices of additional observables are investigated and exemplified by specific
illustrative examples. In particular it is argued that the improper
identification of observables lies at the origin of the claimed violation of
the brachistchrone transition time between orthogonal states. The need for
further physical input to remove ambiguities is pointed out.
| quant-ph | the metric associated with a quasihermitian hamiltonian and its physical implications are scrutinised consequences of the nonuniqueness such as the question of the probability interpretation and the possible and forbidden choices of additional observables are investigated and exemplified by specific illustrative examples in particular it is argued that the improper identification of observables lies at the origin of the claimed violation of the brachistchrone transition time between orthogonal states the need for further physical input to remove ambiguities is pointed out | [['the', 'metric', 'associated', 'with', 'a', 'quasihermitian', 'hamiltonian', 'and', 'its', 'physical', 'implications', 'are', 'scrutinised', 'consequences', 'of', 'the', 'nonuniqueness', 'such', 'as', 'the', 'question', 'of', 'the', 'probability', 'interpretation', 'and', 'the', 'possible', 'and', 'forbidden', 'choices', 'of', 'additional', 'observables', 'are', 'investigated', 'and', 'exemplified', 'by', 'specific', 'illustrative', 'examples', 'in', 'particular', 'it', 'is', 'argued', 'that', 'the', 'improper', 'identification', 'of', 'observables', 'lies', 'at', 'the', 'origin', 'of', 'the', 'claimed', 'violation', 'of', 'the', 'brachistchrone', 'transition', 'time', 'between', 'orthogonal', 'states', 'the', 'need', 'for', 'further', 'physical', 'input', 'to', 'remove', 'ambiguities', 'is', 'pointed', 'out']] | [-0.1343195101027959, 0.12220556479587685, -0.04195837803999893, 0.10499742672836873, -0.07418670577462763, -0.12757501582382247, 0.06893716899794526, 0.34758129133842885, -0.25988718336448074, -0.28297963357763367, 0.11456658766110195, -0.2643521499354392, -0.16812131004408, 0.15316498833708464, -0.030465462565189227, 0.09289415188759449, 0.042473151511512694, 0.05761649662745185, -0.09570188416764722, -0.1738330834545195, 0.36957072479417546, 0.08967817522934637, 0.23241049476491754, 0.09521337093319744, 0.10166646557627246, -0.023053488120785913, -0.07462034116615542, 0.015897984349066974, -0.10229660686209172, 0.05168246341272607, 0.22962378079537302, 0.15922535060672088, 0.22564820350380616, -0.3605460080318153, -0.22987897667335347, 0.12322701131051872, 0.10342390624573454, 0.0903720073401928, -0.02812521968735382, -0.3124509626693907, 0.02679109051823616, -0.11495108450762928, -0.17857587988837623, -0.09411854492500424, 0.06684762384393253, -0.01790543142706156, -0.2239484961144626, 0.0631992346898187, 0.09522647445555776, 0.03606326558692672, -0.039181405077397355, -0.1245236002781894, -0.06527106222347356, 0.133619231992634, 0.1177377491039806, -0.01100496284198016, 0.08545353014487773, -0.10636308689136058, -0.14922803752706387, 0.4324191527208313, 0.04582138758560177, -0.20527537416201086, 0.20035522874240996, -0.1172711034596432, -0.1581235252902843, 0.0810920397634618, 0.07287505134008825, 0.07676018850179389, -0.12768709814408793, 0.13447191180603113, -0.01492591961286962, 0.08360570792574436, 0.08476630056102294, 0.11163642081082799, 0.22613039829302578, 0.1071936600463232, 0.013591393164824694, 0.1400997701799497, -0.04470905873531592, -0.11311806854864699, -0.39937654212117196, -0.14243245675461366, -0.1762369851116091, 0.062429301970405505, -0.06880355840767152, -0.11745322125279926, 0.3869380930671468, 0.18160499154782883, 0.2198690886318218, -0.05680910927476361, 0.23652248263242653, 0.12108654535695677, 0.034833140607224776, 0.01992034088470973, 0.26421203298959883, 0.14454489364579787, 0.03054042281000875, -0.2461660962435417, 0.09061082072439604, 0.010190571297425777] |
710.5594 | Minimal $f^q$-martingale measures for exponential L\'evy processes | Let $L$ be a multidimensional L\'evy process under $P$ in its own filtration.
The $f^q$-minimal martingale measure $Q_q$ is defined as that equivalent local
martingale measure for $\mathcal {E}(L)$ which minimizes the $f^q$-divergence
$E[(dQ/dP)^q]$ for fixed $q\in(-\infty,0)\cup(1,\infty)$. We give necessary and
sufficient conditions for the existence of $Q_q$ and an explicit formula for
its density. For $q=2$, we relate the sufficient conditions to the structure
condition and discuss when the former are also necessary. Moreover, we show
that $Q_q$ converges for $q\searrow1$ in entropy to the minimal entropy
martingale measure.
| math.PR | let l be a multidimensional levy process under p in its own filtration the fqminimal martingale measure q_q is defined as that equivalent local martingale measure for mathcal el which minimizes the fqdivergence edqdpq for fixed qininfty0cup1infty we give necessary and sufficient conditions for the existence of q_q and an explicit formula for its density for q2 we relate the sufficient conditions to the structure condition and discuss when the former are also necessary moreover we show that q_q converges for qsearrow1 in entropy to the minimal entropy martingale measure | [['let', 'l', 'be', 'a', 'multidimensional', 'levy', 'process', 'under', 'p', 'in', 'its', 'own', 'filtration', 'the', 'fqminimal', 'martingale', 'measure', 'q_q', 'is', 'defined', 'as', 'that', 'equivalent', 'local', 'martingale', 'measure', 'for', 'mathcal', 'el', 'which', 'minimizes', 'the', 'fqdivergence', 'edqdpq', 'for', 'fixed', 'qininfty0cup1infty', 'we', 'give', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'q_q', 'and', 'an', 'explicit', 'formula', 'for', 'its', 'density', 'for', 'q2', 'we', 'relate', 'the', 'sufficient', 'conditions', 'to', 'the', 'structure', 'condition', 'and', 'discuss', 'when', 'the', 'former', 'are', 'also', 'necessary', 'moreover', 'we', 'show', 'that', 'q_q', 'converges', 'for', 'qsearrow1', 'in', 'entropy', 'to', 'the', 'minimal', 'entropy', 'martingale', 'measure']] | [-0.09251973878811387, 0.09821196137259797, -0.12658634053214507, 0.13042138195812775, -0.04069444135872319, -0.15684132151415242, 0.03471279565573615, 0.35813799060552437, -0.2995082253809361, -0.17942906200118802, 0.14193077676052995, -0.20487334583064212, -0.10531958548676544, 0.1809649483684231, -0.1517090003608781, 0.04148875012418584, 0.008934087621267227, 0.0830452660427374, -0.04652271854198154, -0.22802204224281014, 0.31214702446561526, 0.0392962016932228, 0.2635291920262663, 0.11273485427270369, 0.14736459893996226, 0.006260472355300889, -0.015285736870239763, -0.013876504749607515, -0.25999472135325263, 0.04860820994876763, 0.22573137458632975, 0.15627005726975554, 0.25859240190783406, -0.38788332038504236, -0.10099344834794893, 0.21967577870716068, 0.07299018922974082, -0.011093229971661725, -0.0072944172630634374, -0.2360355974339387, 0.1709584794828997, -0.1111048961386961, -0.17584767188219463, -0.1323273048900506, 0.09348727271837347, 0.04367044234977049, -0.38327754401560765, 0.0716694534451509, 0.11463973347974174, 0.03590348738053923, -0.10214581542155322, -0.08066355884075165, -0.07744366106960704, 0.08537688015802654, 0.028679144751924256, 0.0040608793990138696, 0.06797331814818522, -0.07381591285195421, -0.06543934740783537, 0.3211170065052369, -0.11411464041756357, -0.2642670855610905, 0.14207833591191207, -0.1752938331597868, -0.13086836759329717, 0.08754715013920385, 0.08261993074899211, 0.11427387200597236, -0.15226557435457566, 0.15845982164815617, -0.08502475049154942, 0.0747997106080327, 0.07042268079102916, 0.06751301734269981, 0.11356142890803954, 0.07070041943259318, 0.22336976732510855, 0.16755952506243962, -0.036237905596328134, -0.0753761201932588, -0.3919415428357966, -0.24427271360421882, -0.16971723134903346, 0.1073545427116401, -0.12400371357747217, -0.15561629234100965, 0.32199944376068956, 0.1390874450259349, 0.1952636810567449, 0.13836607847718851, 0.20008041409446914, 0.19007871637723464, -0.029673214789534753, 0.058133718256345564, 0.10813495918341419, 0.1741738361909109, 0.023876607177012107, -0.20505011171540793, 0.09559410870184794, 0.11803943792851095] |
710.5595 | HITRAP: A facility at GSI for highly charged ions | An overview and status report of the new trapping facility for highly charged
ions at the Gesellschaft fuer Schwerionenforschung is presented. The
construction of this facility started in 2005 and is expected to be completed
in 2008. Once operational, highly charged ions will be loaded from the
experimental storage ring ESR into the HITRAP facility, where they are
decelerated and cooled. The kinetic energy of the initially fast ions is
reduced by more than fourteen orders of magnitude and their thermal energy is
cooled to cryogenic temperatures. The cold ions are then delivered to a broad
range of atomic physics experiments.
| physics.atom-ph physics.gen-ph | an overview and status report of the new trapping facility for highly charged ions at the gesellschaft fuer schwerionenforschung is presented the construction of this facility started in 2005 and is expected to be completed in 2008 once operational highly charged ions will be loaded from the experimental storage ring esr into the hitrap facility where they are decelerated and cooled the kinetic energy of the initially fast ions is reduced by more than fourteen orders of magnitude and their thermal energy is cooled to cryogenic temperatures the cold ions are then delivered to a broad range of atomic physics experiments | [['an', 'overview', 'and', 'status', 'report', 'of', 'the', 'new', 'trapping', 'facility', 'for', 'highly', 'charged', 'ions', 'at', 'the', 'gesellschaft', 'fuer', 'schwerionenforschung', 'is', 'presented', 'the', 'construction', 'of', 'this', 'facility', 'started', 'in', '2005', 'and', 'is', 'expected', 'to', 'be', 'completed', 'in', '2008', 'once', 'operational', 'highly', 'charged', 'ions', 'will', 'be', 'loaded', 'from', 'the', 'experimental', 'storage', 'ring', 'esr', 'into', 'the', 'hitrap', 'facility', 'where', 'they', 'are', 'decelerated', 'and', 'cooled', 'the', 'kinetic', 'energy', 'of', 'the', 'initially', 'fast', 'ions', 'is', 'reduced', 'by', 'more', 'than', 'fourteen', 'orders', 'of', 'magnitude', 'and', 'their', 'thermal', 'energy', 'is', 'cooled', 'to', 'cryogenic', 'temperatures', 'the', 'cold', 'ions', 'are', 'then', 'delivered', 'to', 'a', 'broad', 'range', 'of', 'atomic', 'physics', 'experiments']] | [-0.05230787363718264, 0.26528274859898376, -0.023474559471942484, -0.012964729969389736, -0.010908866501413286, -0.16396668538916856, 0.0032268209382891656, 0.37281513010966594, -0.21364538198336958, -0.32388556539081037, 0.10083305726526305, -0.3305894400086254, 0.08213771777693182, 0.22707271956838668, -0.00460939773125574, -0.008955594166181982, 0.05193884555948898, -0.0023960861918749287, -0.020367636947194113, -0.24077085694763808, 0.18977696634829044, 0.22320999812334777, 0.2568310344126076, 0.09720815825276077, 0.09142383476253599, -0.04852354506321717, 0.008318759179674088, 0.0012578390538692473, -0.1167008471954614, 0.09034348527900875, 0.29098982745781543, 0.0864733798801899, 0.23236123529262842, -0.47719965104013684, -0.12600218805338956, 0.0709692718484439, 0.0924666080181487, 0.1008163001947105, -0.0945871968458232, -0.2789990923553705, 0.0022634355979971586, -0.18842069317121057, -0.15217814934905619, -0.04837615565862507, 0.027488913484849036, 0.050612350990995765, -0.2561081064213067, 0.006026240044739097, -0.006522861332632602, 0.07092096650972962, -0.08393681386718527, -0.1502633722871542, 0.02183469637762755, 0.016776606193743646, -0.03266979480162263, 0.03315768802305683, 0.20258877577725798, -0.08533224815269932, -0.04703513987129554, 0.3913830805826001, -0.04314618003860232, -0.026019334997981786, 0.2068633592664264, -0.1867167253373191, -0.08234780963044613, 0.208349716309458, 0.1668803524505347, 0.12559597440995277, -0.20013528575189413, 0.042928843076806514, -0.013015896063297987, 0.1523532475507818, 0.0976949883508496, 0.03141072523780167, 0.2498711135983467, 0.183256649695104, 0.013152045407623518, 0.15161575289210305, -0.09371360760414973, -0.05873013687552884, -0.2520888107037172, -0.16499657004402252, -0.13930076307384298, 0.025878995731472967, 0.040829810312134215, -0.05091243058210239, 0.3842574641760439, 0.11649395851884037, 0.1355791761446744, -0.09224090124247596, 0.2944370960118249, 0.07782971749082207, 0.05684075630037114, 0.07746238021180034, 0.27362013849429784, 0.0969401007820852, 0.17131240274291484, -0.23753403084585442, 0.0024826312297955154, 0.016790155856870114] |
710.5596 | Reply to Comment on "Modified Coulomb Law in a Strongly Magnetized
Vacuum" | This is a reply to the Comment by S.-Y. Wang concerning our paper "Modified
Coulomb Law in a Strongly Magnetized Vacuum"
| astro-ph | this is a reply to the comment by sy wang concerning our paper modified coulomb law in a strongly magnetized vacuum | [['this', 'is', 'a', 'reply', 'to', 'the', 'comment', 'by', 'sy', 'wang', 'concerning', 'our', 'paper', 'modified', 'coulomb', 'law', 'in', 'a', 'strongly', 'magnetized', 'vacuum']] | [-0.11247873386102063, 0.14187604144570373, -0.08279727995839148, 0.016039179859771616, -0.1369757502384129, -0.1582256978643792, 0.09591501459501506, 0.2640275095722505, -0.15605201252869197, -0.2684707398570719, 0.006665155130793296, -0.29550024476789294, -0.16032973162475087, 0.12388276468430247, -0.2009245189172881, -0.04336827496687571, -0.02114810368844441, -0.09339168725446576, -0.03812140678720815, -0.3397382884508088, 0.3731910487016042, 0.12863610019641264, 0.2716510786364476, 0.11883801665334474, -0.01724942350050523, -0.012105443980544806, -0.10309906880415622, 0.028535860634985425, -0.15711269115230866, 0.04950120614930278, 0.15129991237162835, 0.008052755235916092, 0.26628288342839196, -0.3572737295180559, -0.2136674736227308, 0.024428414713059152, 0.09228503775028955, 0.08985162606196744, -0.09413323711071696, -0.2932311126164028, 0.096205140153567, -0.2044611463234538, -0.2069163143945237, -0.003324932108322779, 0.09585269283325899, 0.053675464792398826, -0.2344557112082839, 0.08013320501361575, 0.21185131628243697, -0.09073576987499282, -0.0009900441260210105, -0.004723379299754188, 0.048738385029580625, -0.0917047428499375, 0.09735012350470892, 0.12939493967929766, 0.12622550280676, -0.08017998036839777, -0.10402081152867704, 0.3632022607184592, -0.07465133038792937, -0.18773163039059865, 0.13534589005368097, -0.11991926670695345, -0.14146466624169124, 0.025993529421698656, 0.05394782746831576, 0.1443534610156175, -0.1870030216163113, 0.1503169391459475, -0.1525415080555138, 0.16335745368685042, 0.12775739621637122, -0.04079750038328625, 0.20827990255895115, 0.11512956318135063, -0.05374081823087874, 0.1378223556315615, 0.02903181261249951, -0.039220240321897325, -0.32801806336889666, -0.15425138441579683, -0.20116982963823138, 0.16793011426038684, -0.011191586786437602, -0.10792529387843042, 0.35660340013453695, 0.14450150479873022, 0.17954639337646464, -0.007917717232235841, 0.23669458358060746, 0.13043447072240746, -0.11342678360995792, 0.08804167006608277, 0.3138572131948812, 0.17045412533029558, 0.19889612167718865, -0.29366589552678524, -0.032635662970798354, 0.13554971669578836] |
710.5597 | Registration of the First Thermonuclear X-ray Burst from AX J1754.2-2754 | During the analysis of the INTEGRAL observatory archival data we found a
powerful X-ray burst, registered by JEM-X and IBIS/ISGRI telescopes on April
16, 2005 from a weak and poorly known source AX J1754.2-2754. Analysis of the
burst profiles and spectrum shows, that it was a type I burst, which result
from thermonuclear explosion on the surface of nutron star. It means that we
can consider AX J1754.2-2754 as an X-ray burster. Certain features of burst
profile at its initial stage witness of a radiation presure driven strong
expansion and a corresponding cooling of the nutron star photosphere. Assuming,
that the luminosity of the source at this phase was close to the Eddington
limit, we estimated the distance to the burst source d=6.6+/-0.3 kpc (for
hidrogen atmosphere of the neutron star) and d=9.2+/-0.4 kpc (for helium
atmosphere).
| astro-ph | during the analysis of the integral observatory archival data we found a powerful xray burst registered by jemx and ibisisgri telescopes on april 16 2005 from a weak and poorly known source ax j175422754 analysis of the burst profiles and spectrum shows that it was a type i burst which result from thermonuclear explosion on the surface of nutron star it means that we can consider ax j175422754 as an xray burster certain features of burst profile at its initial stage witness of a radiation presure driven strong expansion and a corresponding cooling of the nutron star photosphere assuming that the luminosity of the source at this phase was close to the eddington limit we estimated the distance to the burst source d6603 kpc for hidrogen atmosphere of the neutron star and d9204 kpc for helium atmosphere | [['during', 'the', 'analysis', 'of', 'the', 'integral', 'observatory', 'archival', 'data', 'we', 'found', 'a', 'powerful', 'xray', 'burst', 'registered', 'by', 'jemx', 'and', 'ibisisgri', 'telescopes', 'on', 'april', '16', '2005', 'from', 'a', 'weak', 'and', 'poorly', 'known', 'source', 'ax', 'j175422754', 'analysis', 'of', 'the', 'burst', 'profiles', 'and', 'spectrum', 'shows', 'that', 'it', 'was', 'a', 'type', 'i', 'burst', 'which', 'result', 'from', 'thermonuclear', 'explosion', 'on', 'the', 'surface', 'of', 'nutron', 'star', 'it', 'means', 'that', 'we', 'can', 'consider', 'ax', 'j175422754', 'as', 'an', 'xray', 'burster', 'certain', 'features', 'of', 'burst', 'profile', 'at', 'its', 'initial', 'stage', 'witness', 'of', 'a', 'radiation', 'presure', 'driven', 'strong', 'expansion', 'and', 'a', 'corresponding', 'cooling', 'of', 'the', 'nutron', 'star', 'photosphere', 'assuming', 'that', 'the', 'luminosity', 'of', 'the', 'source', 'at', 'this', 'phase', 'was', 'close', 'to', 'the', 'eddington', 'limit', 'we', 'estimated', 'the', 'distance', 'to', 'the', 'burst', 'source', 'd6603', 'kpc', 'for', 'hidrogen', 'atmosphere', 'of', 'the', 'neutron', 'star', 'and', 'd9204', 'kpc', 'for', 'helium', 'atmosphere']] | [-0.05443048170193585, 0.10137237947106548, -0.07709750228836625, 0.12343248967204778, -0.10290084891091807, -0.08599128539561096, 0.09981502826805368, 0.42142017888413236, -0.2213776284532452, -0.3344795164355839, 0.12720032064879144, -0.33100505400392594, -0.032998601835446825, 0.254585619232702, -0.015542834810207061, -0.010969619011368857, 0.13152726619349173, -0.019348890259579726, -0.0705830981984918, -0.21136841545265986, 0.30570944905224623, 0.1419528824679384, 0.17419471879750772, -0.011843829380461213, 0.11059966134560069, -0.051189647426574746, -0.039599728819942386, -0.07521612622429419, -0.11137400296948644, 0.006738798835695806, 0.21454431335653432, 0.16161324369243107, 0.16792061392246097, -0.3691957083276727, -0.23656662123870442, 0.042378779222913596, 0.12012164966224438, -0.02598623479593009, -0.0337519179059503, -0.2912837710076322, 0.029557328757646523, -0.2273487572092563, -0.1596456509556226, 0.10587533094362836, 0.06901910890133656, 0.05650199779836729, -0.23294134233429126, 0.08882990842826213, 0.036797329003809755, 0.04988160332185075, -0.14373678331718442, -0.01470581303477626, -0.02319791243820818, 0.05972937921372553, 0.04670138808344773, 0.10363308579844395, 0.11812610780312256, -0.11455710969378495, 0.006723809722726318, 0.3343204214858512, -0.09291322440769749, 0.08315471866676076, 0.1902824055216501, -0.1843192393037801, -0.17814647458307623, 0.19194954670401235, 0.11339566658716649, 0.11644750862086023, -0.17182501487321022, 0.005643793647653762, -0.018175625069433765, 0.25510017660615797, 0.07245706821170945, 0.0070372331114909184, 0.28114142420588795, 0.11017645141780094, 0.003890450059605593, 0.13895018038227025, -0.28530178305156756, 0.031256230346943165, -0.28358286937741056, -0.06401469720753306, -0.16642359517528815, 0.1364015946288198, -0.08031362622381438, -0.1455396005573372, 0.35764346527514246, 0.05490671478169547, 0.16079440641492096, -0.009933310037895077, 0.24788507494623913, 0.1299365138358112, 0.03280156167492158, 0.13266804800227736, 0.3129389101611168, 0.16657395343380896, 0.15424815273956594, -0.24940092225601387, 0.08595234784297645, 0.06380374102401688] |
710.5598 | Conformational and Structural Relaxations of Poly(ethylene oxide) and
Poly(propylene oxide) Melts: Molecular Dynamics Study of Spatial
Heterogeneity, Cooperativity, and Correlated Forward-Backward Motion | Performing molecular dynamics simulations for all-atom models, we
characterize the conformational and structural relaxations of poly(ethylene
oxide) and poly(propylene oxide) melts. The temperature dependence of these
relaxation processes deviates from an Arrhenius law for both polymers. We
demonstrate that mode-coupling theory captures some aspects of the glassy
slowdown, but it does not enable a complete explanation of the dynamical
behavior. When the temperature is decreased, spatially heterogeneous and
cooperative translational dynamics are found to become more important for the
structural relaxation. Moreover, the transitions between the conformational
states cease to obey Poisson statistics. In particular, we show that, at
sufficiently low temperatures, correlated forward-backward motion is an
important aspect of the conformational relaxation, leading to strongly
nonexponential distributions for the waiting times of the dihedrals in the
various conformational states
| cond-mat.soft cond-mat.mtrl-sci | performing molecular dynamics simulations for allatom models we characterize the conformational and structural relaxations of polyethylene oxide and polypropylene oxide melts the temperature dependence of these relaxation processes deviates from an arrhenius law for both polymers we demonstrate that modecoupling theory captures some aspects of the glassy slowdown but it does not enable a complete explanation of the dynamical behavior when the temperature is decreased spatially heterogeneous and cooperative translational dynamics are found to become more important for the structural relaxation moreover the transitions between the conformational states cease to obey poisson statistics in particular we show that at sufficiently low temperatures correlated forwardbackward motion is an important aspect of the conformational relaxation leading to strongly nonexponential distributions for the waiting times of the dihedrals in the various conformational states | [['performing', 'molecular', 'dynamics', 'simulations', 'for', 'allatom', 'models', 'we', 'characterize', 'the', 'conformational', 'and', 'structural', 'relaxations', 'of', 'polyethylene', 'oxide', 'and', 'polypropylene', 'oxide', 'melts', 'the', 'temperature', 'dependence', 'of', 'these', 'relaxation', 'processes', 'deviates', 'from', 'an', 'arrhenius', 'law', 'for', 'both', 'polymers', 'we', 'demonstrate', 'that', 'modecoupling', 'theory', 'captures', 'some', 'aspects', 'of', 'the', 'glassy', 'slowdown', 'but', 'it', 'does', 'not', 'enable', 'a', 'complete', 'explanation', 'of', 'the', 'dynamical', 'behavior', 'when', 'the', 'temperature', 'is', 'decreased', 'spatially', 'heterogeneous', 'and', 'cooperative', 'translational', 'dynamics', 'are', 'found', 'to', 'become', 'more', 'important', 'for', 'the', 'structural', 'relaxation', 'moreover', 'the', 'transitions', 'between', 'the', 'conformational', 'states', 'cease', 'to', 'obey', 'poisson', 'statistics', 'in', 'particular', 'we', 'show', 'that', 'at', 'sufficiently', 'low', 'temperatures', 'correlated', 'forwardbackward', 'motion', 'is', 'an', 'important', 'aspect', 'of', 'the', 'conformational', 'relaxation', 'leading', 'to', 'strongly', 'nonexponential', 'distributions', 'for', 'the', 'waiting', 'times', 'of', 'the', 'dihedrals', 'in', 'the', 'various', 'conformational', 'states']] | [-0.10872382559150887, 0.22150461057115955, -0.14009847591917676, 0.068795165578978, 0.006126499489451257, -0.15129089740982565, 0.025755250005302235, 0.39457190816219034, -0.30335154149394766, -0.2339990704965133, 0.02160743346545272, -0.2728320302423806, -0.1694483522280979, 0.15071180977930243, 0.016572955136115734, 0.04643162993642573, -0.01050276461845407, -0.030191148629931445, -0.07077165163265398, -0.16782860266438757, 0.19418317440968866, 0.06492139028313641, 0.30684587875237834, 0.09555763634494864, 0.07675580839411571, -0.015193579791565963, 0.07516834801958444, 0.03064497495876052, -0.18950755064288388, 0.05002363765737615, 0.2701737018708697, 0.02864504632754968, 0.21675461940109156, -0.4920612218288275, -0.23851632349049814, 0.086281350432322, 0.13236012600827962, 0.15478551902163487, -0.008719061009357505, -0.21784804315091325, 0.037260900330371584, -0.11262192172356524, -0.10301520060658312, -0.1481344276591419, 0.04659425855990356, 0.04919852775055915, -0.2293853670376568, 0.1663268846961168, 0.08641002131872273, 0.08049350309973725, -0.09416701717552944, -0.11838401917529363, -0.04099098336614238, 0.10366660074281614, 0.09248060176793772, -0.045761401888627845, 0.23856636533298745, -0.13927689193783757, -0.08638798275675912, 0.37172718308866026, -0.010038817739293266, -0.13542537320620165, 0.260019689400752, -0.17657624717371967, -0.16741803045241305, 0.21811159682424308, 0.12929257968297372, 0.11965790529664866, -0.17528184003861566, 0.02815771341713396, 0.047554928007034154, 0.21105307039733118, 0.03445741911776937, 0.04767521616214743, 0.19915373561850105, 0.21333554756756012, 0.03848925712160193, 0.1560096493922174, -0.08318522505175609, -0.20335843961399336, -0.23421943550929428, -0.15028325139115062, -0.1665153971192642, 0.07879713898034355, -0.11566550009133957, -0.17206823306086544, 0.35039858939126134, 0.10878739433828741, 0.19200002662389754, 0.0962934151220207, 0.18325462888460606, 0.07780065935534927, 0.014129064332407255, 0.05021318425782598, 0.18331987700143004, 0.14011948986847597, 0.10752184497049222, -0.3349001694237813, 0.14782596485187802, -0.0020195310471955545] |
710.5599 | Conditions for Chemotactic Aggregation | Micro-organisms aggregate through chemotaxis against a concentration gradient
of signals secreted by themselves. We have numerically studied a model
consisting of elements with intracellular dynamics, random walks with a
state-dependent turnover rate, and secretion of attractant. Three phases with
and without aggregation, as well as partial aggregation, were obtained as to
the diffusion and decomposition rates of the attractant, and conditions for
cellular aggregation were analyzed. The size of aggregated clusters was shown
to be independent of cell density, as is consistent with experiment.
| cond-mat.stat-mech | microorganisms aggregate through chemotaxis against a concentration gradient of signals secreted by themselves we have numerically studied a model consisting of elements with intracellular dynamics random walks with a statedependent turnover rate and secretion of attractant three phases with and without aggregation as well as partial aggregation were obtained as to the diffusion and decomposition rates of the attractant and conditions for cellular aggregation were analyzed the size of aggregated clusters was shown to be independent of cell density as is consistent with experiment | [['microorganisms', 'aggregate', 'through', 'chemotaxis', 'against', 'a', 'concentration', 'gradient', 'of', 'signals', 'secreted', 'by', 'themselves', 'we', 'have', 'numerically', 'studied', 'a', 'model', 'consisting', 'of', 'elements', 'with', 'intracellular', 'dynamics', 'random', 'walks', 'with', 'a', 'statedependent', 'turnover', 'rate', 'and', 'secretion', 'of', 'attractant', 'three', 'phases', 'with', 'and', 'without', 'aggregation', 'as', 'well', 'as', 'partial', 'aggregation', 'were', 'obtained', 'as', 'to', 'the', 'diffusion', 'and', 'decomposition', 'rates', 'of', 'the', 'attractant', 'and', 'conditions', 'for', 'cellular', 'aggregation', 'were', 'analyzed', 'the', 'size', 'of', 'aggregated', 'clusters', 'was', 'shown', 'to', 'be', 'independent', 'of', 'cell', 'density', 'as', 'is', 'consistent', 'with', 'experiment']] | [-0.08605679414384733, 0.1791122513490596, -0.027259948729936565, -0.009574751742461342, 0.02012161782719583, -0.14515832609253093, 0.06382394462291684, 0.4102232688594432, -0.27357863307753133, -0.2610129400466879, 0.12217489269096404, -0.2683178720153159, -0.1754328114884196, 0.1391464980912306, -0.02611547314916693, 0.05804307948398803, 0.01040344397326754, 0.02478619877781187, 0.07690981092552344, -0.22351890898010293, 0.216691444314728, 0.07840728152188517, 0.28367425887180225, -0.010706227378077096, 0.15321904481277757, -0.02584424688636015, -0.0441637575415717, 0.08472329005599022, -0.11782859799097337, 0.0898389152585185, 0.22069190545672818, 0.0986839737167126, 0.24918011030448334, -0.47095521843238247, -0.30055464277531774, 0.08028963884516131, 0.17644452056404025, 0.11527237591023247, -0.07447811968935032, -0.275866220344878, 0.10391381049218278, -0.1500606739206151, -0.11036473234361481, -0.04025383312476888, 0.030430685695526854, 0.17743456388069762, -0.32149037368418204, 0.1759895775633465, -0.01918496066077967, 0.07757031096566823, -0.11526383120300514, -0.13032641139718526, -0.08179129743560527, 0.16435692395593615, 0.04246822463686667, -0.06192585810952421, 0.22947233503440484, -0.09232492658442684, -0.12273561000447011, 0.3649694099467957, -0.09218354533160371, -0.22555267630654963, 0.2329004576895386, -0.10053393824897025, -0.06753293238580227, 0.1432881483120755, 0.1760299535734313, 0.07509713195308688, -0.21347743259476765, -0.018216841585291105, -0.017352304300792248, 0.14862950472438352, 0.1036197211305123, -0.009702699436318307, 0.1254897708561094, 0.2097857822774954, 0.06552495105868383, 0.13495445970883815, -0.07958948201987714, -0.12008451056733195, -0.19320285749286303, -0.13884370541200042, -0.134089341087799, 0.06323491991497576, -0.10591194016264385, -0.1449460221819685, 0.3363894262417619, 0.046234389782295604, 0.2505483871874666, 0.08064901823222283, 0.2244825406898079, 0.07346175276186495, 0.06776769435410165, -0.009776527256083986, 0.14369739619238922, 0.14498786147062978, 0.1117320380650372, -0.24326090684293636, 0.1650574587817703, 0.06876251252556574] |
710.56 | The Ekman-Hartmann layer in MHD Taylor-Couette flow | We study magnetic effects induced by rigidly rotating plates enclosing a
cylindrical MHD Taylor-Couette flow at the finite aspect ratio $H/D=10$. The
fluid confined between the cylinders is assumed to be liquid metal
characterized by small magnetic Prandtl number, the cylinders are perfectly
conducting, an axial magnetic field is imposed $\Ha \approx 10$, the rotation
rates correspond to $\Rey$ of order $10^2-10^3$. We show that the end-plates
introduce, besides the well known Ekman circulation, similar magnetic effects
which arise for infinite, rotating plates, horizontally unbounded by any walls.
In particular there exists the Hartmann current which penetrates the fluid,
turns into the radial direction and together with the applied magnetic field
gives rise to a force. Consequently the flow can be compared with a Taylor-Dean
flow driven by an azimuthal pressure gradient. We analyze stability of such
flows and show that the currents induced by the plates can give rise to
instability for the considered parameters. When designing an MHD Taylor-Couette
experiment, a special care must be taken concerning the vertical magnetic
boundaries so they do not significantly alter the rotational profile.
| astro-ph physics.flu-dyn | we study magnetic effects induced by rigidly rotating plates enclosing a cylindrical mhd taylorcouette flow at the finite aspect ratio hd10 the fluid confined between the cylinders is assumed to be liquid metal characterized by small magnetic prandtl number the cylinders are perfectly conducting an axial magnetic field is imposed ha approx 10 the rotation rates correspond to rey of order 102103 we show that the endplates introduce besides the well known ekman circulation similar magnetic effects which arise for infinite rotating plates horizontally unbounded by any walls in particular there exists the hartmann current which penetrates the fluid turns into the radial direction and together with the applied magnetic field gives rise to a force consequently the flow can be compared with a taylordean flow driven by an azimuthal pressure gradient we analyze stability of such flows and show that the currents induced by the plates can give rise to instability for the considered parameters when designing an mhd taylorcouette experiment a special care must be taken concerning the vertical magnetic boundaries so they do not significantly alter the rotational profile | [['we', 'study', 'magnetic', 'effects', 'induced', 'by', 'rigidly', 'rotating', 'plates', 'enclosing', 'a', 'cylindrical', 'mhd', 'taylorcouette', 'flow', 'at', 'the', 'finite', 'aspect', 'ratio', 'hd10', 'the', 'fluid', 'confined', 'between', 'the', 'cylinders', 'is', 'assumed', 'to', 'be', 'liquid', 'metal', 'characterized', 'by', 'small', 'magnetic', 'prandtl', 'number', 'the', 'cylinders', 'are', 'perfectly', 'conducting', 'an', 'axial', 'magnetic', 'field', 'is', 'imposed', 'ha', 'approx', '10', 'the', 'rotation', 'rates', 'correspond', 'to', 'rey', 'of', 'order', '102103', 'we', 'show', 'that', 'the', 'endplates', 'introduce', 'besides', 'the', 'well', 'known', 'ekman', 'circulation', 'similar', 'magnetic', 'effects', 'which', 'arise', 'for', 'infinite', 'rotating', 'plates', 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0.15046623104394208, -0.2560689140770895, 0.034694099359007344, 0.05648411013664574] |
710.5601 | Proposal for optical parity state re-encoder | We propose a re-encoder to generate a refreshed parity encoded state from an
existing parity encoded state. This is the simplest case of the scheme by
Gilchrist et al. (Phys. Rev. A 75, 052328). We show that it is possible to
demonstrate with existing technology parity encoded quantum gates and
teleportation.
| quant-ph | we propose a reencoder to generate a refreshed parity encoded state from an existing parity encoded state this is the simplest case of the scheme by gilchrist et al phys rev a 75 052328 we show that it is possible to demonstrate with existing technology parity encoded quantum gates and teleportation | [['we', 'propose', 'a', 'reencoder', 'to', 'generate', 'a', 'refreshed', 'parity', 'encoded', 'state', 'from', 'an', 'existing', 'parity', 'encoded', 'state', 'this', 'is', 'the', 'simplest', 'case', 'of', 'the', 'scheme', 'by', 'gilchrist', 'et', 'al', 'phys', 'rev', 'a', '75', '052328', 'we', 'show', 'that', 'it', 'is', 'possible', 'to', 'demonstrate', 'with', 'existing', 'technology', 'parity', 'encoded', 'quantum', 'gates', 'and', 'teleportation']] | [-0.12567323479801418, 0.14144455713016213, -0.01677794612478465, -0.05762264518765733, -0.050311210341751574, -0.1977740000281483, 0.08533203130122274, 0.34789546130225063, -0.23370811527594923, -0.3325075973942876, -0.024128625579178335, -0.2365531108342111, -0.17577730022370816, 0.15105409629642963, -0.12428917623590678, 0.07015238897874951, 0.02540742082055658, -0.004966037906706333, -0.03310434548766352, -0.3164655377715826, 0.21033209722489118, 0.08712057620985433, 0.3320216552168131, 0.010727187255397438, 0.13379447715356946, 0.02921964823268354, 0.0337196646630764, -0.04139450458809733, -0.09309869600998354, 0.06341683163773268, 0.23055691160261632, 0.16531304102391003, 0.20165200304239989, -0.42581369534134866, -0.2269377259723842, 0.09455151049420238, 0.0271067666541785, 0.254410942774266, -0.04189040947705507, -0.3829365280969068, 0.07697601607535035, -0.26480493262410165, -0.06655837493599392, -0.1488277406617999, 0.05379838295280934, -0.10117958263144829, -0.2887282230798155, 0.09325824530795217, 0.05866169472225011, -0.029529013046994804, 0.07721620829310268, -0.06231311986222863, 0.006478271298110485, 0.023340838411822915, -0.10078731731511653, 0.09581051865592599, 0.0737383252568543, -0.0401771049189847, -0.23252792090177535, 0.33586471642367544, -0.012460350561887025, -0.18798194432631135, 0.15870527550578117, -0.02806911866180599, -0.10645136599428952, 0.017516755741089584, 0.0922683574538678, 0.16839401677250862, -0.08658858969807624, 0.09430720940115861, -0.09689204344525933, 0.24796930991113186, 0.0709107400663197, 0.09192959231324493, 0.15550512328743935, 0.08343024893663824, 0.003645480964332819, 0.18954889938235284, -0.09888707902748138, -0.14409004062181338, -0.3217547237314284, -0.169779319986701, -0.22398059476166965, 0.1137664558365941, 0.10619249102688627, -0.07283067300915719, 0.39756795951885576, 0.16136027162894606, 0.23216248070821166, -0.010741092059761285, 0.3041906322725117, 0.0841715849749744, 0.031118382178246976, 0.1739814312197268, 0.20682646881788969, 0.12934960244689137, 0.06790215788292699, -0.24189604399260134, 0.05334561136551201, 0.0380816338211298] |
710.5602 | The two-type Richardson model with unbounded initial configurations | The two-type Richardson model describes the growth of two competing
infections on $\mathbb{Z}^d$ and the main question is whether both infection
types can simultaneously grow to occupy infinite parts of $\mathbb{Z}^d$. For
bounded initial configurations, this has been thoroughly studied. In this
paper, an unbounded initial configuration consisting of points
$x=(x_1,...,x_d)$ in the hyperplane $\mathcal{H}=\{x\in\mathbb{Z}^d:x_1=0\}$ is
considered. It is shown that, starting from a configuration where all points in
$\mathcal{H} {\mathbf{0}\}$ are type 1 infected and the origin $\mathbf{0}$ is
type 2 infected, there is a positive probability for the type 2 infection to
grow unboundedly if and only if it has a strictly larger intensity than the
type 1 infection. If, instead, the initial type 1 infection is restricted to
the negative $x_1$-axis, it is shown that the type 2 infection at the origin
can also grow unboundedly when the infection types have the same intensity.
| math.PR | the twotype richardson model describes the growth of two competing infections on mathbbzd and the main question is whether both infection types can simultaneously grow to occupy infinite parts of mathbbzd for bounded initial configurations this has been thoroughly studied in this paper an unbounded initial configuration consisting of points xx_1x_d in the hyperplane mathcalhxinmathbbzdx_10 is considered it is shown that starting from a configuration where all points in mathcalh mathbf0 are type 1 infected and the origin mathbf0 is type 2 infected there is a positive probability for the type 2 infection to grow unboundedly if and only if it has a strictly larger intensity than the type 1 infection if instead the initial type 1 infection is restricted to the negative x_1axis it is shown that the type 2 infection at the origin can also grow unboundedly when the infection types have the same intensity | [['the', 'twotype', 'richardson', 'model', 'describes', 'the', 'growth', 'of', 'two', 'competing', 'infections', 'on', 'mathbbzd', 'and', 'the', 'main', 'question', 'is', 'whether', 'both', 'infection', 'types', 'can', 'simultaneously', 'grow', 'to', 'occupy', 'infinite', 'parts', 'of', 'mathbbzd', 'for', 'bounded', 'initial', 'configurations', 'this', 'has', 'been', 'thoroughly', 'studied', 'in', 'this', 'paper', 'an', 'unbounded', 'initial', 'configuration', 'consisting', 'of', 'points', 'xx_1x_d', 'in', 'the', 'hyperplane', 'mathcalhxinmathbbzdx_10', 'is', 'considered', 'it', 'is', 'shown', 'that', 'starting', 'from', 'a', 'configuration', 'where', 'all', 'points', 'in', 'mathcalh', 'mathbf0', 'are', 'type', '1', 'infected', 'and', 'the', 'origin', 'mathbf0', 'is', 'type', '2', 'infected', 'there', 'is', 'a', 'positive', 'probability', 'for', 'the', 'type', '2', 'infection', 'to', 'grow', 'unboundedly', 'if', 'and', 'only', 'if', 'it', 'has', 'a', 'strictly', 'larger', 'intensity', 'than', 'the', 'type', '1', 'infection', 'if', 'instead', 'the', 'initial', 'type', '1', 'infection', 'is', 'restricted', 'to', 'the', 'negative', 'x_1axis', 'it', 'is', 'shown', 'that', 'the', 'type', '2', 'infection', 'at', 'the', 'origin', 'can', 'also', 'grow', 'unboundedly', 'when', 'the', 'infection', 'types', 'have', 'the', 'same', 'intensity']] | [-0.11146588221811116, 0.1926615752180287, -0.010355940932242123, 0.08450620152831256, -0.028952512156524477, -0.211097322739278, 0.01797777337535629, 0.32978694818033644, -0.2621081142992496, -0.18047165600838114, 0.14069933697106063, -0.3350259906752673, -0.1448889429208963, 0.11825657953756977, -0.06421811055800278, -0.050429233656047956, 0.04173455201727275, 0.12223559591204744, 0.053404822314081536, -0.3320383909493302, 0.34936990306955085, -0.03713696083207041, 0.2329918411416831, 0.015904307720245002, 0.07382886571337609, -0.00542842439847858, 0.04248424738084208, 0.04456511929261256, -0.1542330203554553, 0.013629233372104291, 0.23392327126491916, 0.14909017269582525, 0.33492159590520576, -0.38108345104560054, -0.21254671599129088, 0.20032227995218582, 0.20479937960801978, 0.1033979626500035, 0.021641135329782502, -0.2073275518112446, 0.1463847832725549, -0.13033824452766765, -0.18640895053259518, 0.07254758326030553, 0.11300884084520887, 0.03256792541511982, -0.29406314912851744, 0.03255303743536973, 0.07515425216853108, 0.03767063535035473, -0.07222916993427358, -0.10344120772070672, -0.07193730349894868, 0.13219012419174087, 0.039869396380397604, 0.0576858779292694, 0.08985992536994897, -0.07826474811307678, -0.06749454786210027, 0.3079950921365047, 0.01644712674289173, -0.23033570176570944, 0.19941108910787902, -0.18464425697999254, -0.12861547481638622, 0.16435600378812124, 0.1338429637954966, 0.09445269047665371, -0.09017487137456032, 0.10104250877478466, -0.026051998352121613, 0.15107687364957512, 0.09613494187185209, -0.047729737268862864, 0.13333288160645504, 0.18208246869322117, 0.10800435320531618, 0.09187496894147655, -0.07588080458553534, -0.07923671796484148, -0.2874302424949734, -0.10603047568312757, -0.2044034786849308, 0.12662704297889993, -0.10332962838354383, -0.16658969636335139, 0.38880822422263556, 0.09890236211334649, 0.20290681748485115, 0.08070063383847935, 0.21741764894240115, 0.094965135429871, 0.04648276812824331, 0.09557748333653053, 0.17054698247245628, 0.058598621454957416, 0.06172814050829676, -0.161436420308796, 0.17558770389168535, 0.06372048562001485] |
710.5603 | Dark Matter: A Multidisciplinary Approach | We review the current status of accelerator, direct and indirect Dark Matter
(DM) searches, focusing on the complementarity of different techniques and on
the prospects for discovery. After taking a census of present and upcoming
DM-related experiments, we review the motivations to go beyond an
"accelerator-only" approach, and highlight the benefits of multidisciplinarity
in the quest for DM.
| astro-ph | we review the current status of accelerator direct and indirect dark matter dm searches focusing on the complementarity of different techniques and on the prospects for discovery after taking a census of present and upcoming dmrelated experiments we review the motivations to go beyond an acceleratoronly approach and highlight the benefits of multidisciplinarity in the quest for dm | [['we', 'review', 'the', 'current', 'status', 'of', 'accelerator', 'direct', 'and', 'indirect', 'dark', 'matter', 'dm', 'searches', 'focusing', 'on', 'the', 'complementarity', 'of', 'different', 'techniques', 'and', 'on', 'the', 'prospects', 'for', 'discovery', 'after', 'taking', 'a', 'census', 'of', 'present', 'and', 'upcoming', 'dmrelated', 'experiments', 'we', 'review', 'the', 'motivations', 'to', 'go', 'beyond', 'an', 'acceleratoronly', 'approach', 'and', 'highlight', 'the', 'benefits', 'of', 'multidisciplinarity', 'in', 'the', 'quest', 'for', 'dm']] | [-0.09174688501350049, 0.07910014718306359, -0.061662209627684206, 0.0850112007257329, -0.12370603756114308, -0.078413782649607, 0.07107052243165006, 0.3008449411052944, -0.21500529910969948, -0.36015656826618525, 0.12110871450152315, -0.292015268933028, -0.09787685831543058, 0.24864388518368027, 0.06941642367746681, 0.010724963420735938, 0.062278928833880594, -0.010340833105146885, -0.09057514358677768, -0.24151817032335593, 0.3073637343394304, 0.1096024761791341, 0.24280432540191604, 0.14481421934241162, 0.06915177305095963, 0.06296634530631959, -0.1593999056910564, -0.05217009864281863, -0.19126146640961192, 0.13954533545100795, 0.20789650761123216, 0.22348297960291216, 0.2578326891816687, -0.4764427436249597, -0.16395955276675522, 0.1217527008349342, 0.1298592705986396, 0.1190064239282427, -0.16050875782717153, -0.3725987410871312, 0.04679205873981118, -0.20995624773370633, -0.10122260525739486, -0.06736077479685523, -0.016304183884390762, 0.009312330321076192, -0.16124768813149007, 0.0308902767678124, 0.01573520864725911, -0.008912341536155768, -0.07118432504856693, -0.21539019027425507, 0.10447044697191034, 0.07025034422154672, 0.07389579619276836, -0.06321130541618913, 0.15430225605710543, -0.2842137479289834, -0.19753458364201443, 0.38707532352834406, -0.11002717747552586, -0.0660410804973383, 0.2194611803861335, -0.13276143328818893, -0.1859138554760388, -0.007062333270109126, 0.19685558483719692, 0.062068635265209844, -0.12306247431219422, 0.1188792871419407, 0.027310589594500407, 0.10146795033610292, -0.01798666109347583, 0.06001189490780234, 0.3626074882091156, 0.30957431522464113, 0.08757710173917335, 0.029296698248279945, -0.14146768878812768, -0.06217939892251577, -0.3535676512068936, -0.18996743061247148, -0.09694614782763113, -0.007972828860926841, 0.01593044995960164, -0.02663397548686979, 0.42464283191865043, 0.21503639241148317, 0.17580751439423434, 0.02343741638885279, 0.34890686717283514, -0.012190904701128602, -0.006389981069202934, -0.045089155880434974, 0.33181572059610126, 0.0921147087189768, 0.11654175916919485, -0.192650754767653, 0.008749676876634891, -0.019410616485401988] |
710.5604 | Results from the NEMO 3 experiment | The aim of the NEMO 3 experiment is the search for neutrinoless double beta
decay and precise measurement of two-neutrino double beta decay of several
isotopes. The experiment has been taking data since 2003. Since no evidence for
neutrinoless double beta decay of Mo100 and Se82 has been found, a 90% C.L.
lower limit on the half-life of this process and corresponding upper limit on
the effective Majorana neutrino mass are derived. The data are also interpreted
in terms of alternative models, such as weak right-handed currents or Majoron
emission. In addition, NEMO 3 has performed precision measurements of the
two-neutrino double beta decay for seven different isotopes. The most recent
experimental results of NEMO 3 are presented in this paper.
| hep-ex | the aim of the nemo 3 experiment is the search for neutrinoless double beta decay and precise measurement of twoneutrino double beta decay of several isotopes the experiment has been taking data since 2003 since no evidence for neutrinoless double beta decay of mo100 and se82 has been found a 90 cl lower limit on the halflife of this process and corresponding upper limit on the effective majorana neutrino mass are derived the data are also interpreted in terms of alternative models such as weak righthanded currents or majoron emission in addition nemo 3 has performed precision measurements of the twoneutrino double beta decay for seven different isotopes the most recent experimental results of nemo 3 are presented in this paper | [['the', 'aim', 'of', 'the', 'nemo', '3', 'experiment', 'is', 'the', 'search', 'for', 'neutrinoless', 'double', 'beta', 'decay', 'and', 'precise', 'measurement', 'of', 'twoneutrino', 'double', 'beta', 'decay', 'of', 'several', 'isotopes', 'the', 'experiment', 'has', 'been', 'taking', 'data', 'since', '2003', 'since', 'no', 'evidence', 'for', 'neutrinoless', 'double', 'beta', 'decay', 'of', 'mo100', 'and', 'se82', 'has', 'been', 'found', 'a', '90', 'cl', 'lower', 'limit', 'on', 'the', 'halflife', 'of', 'this', 'process', 'and', 'corresponding', 'upper', 'limit', 'on', 'the', 'effective', 'majorana', 'neutrino', 'mass', 'are', 'derived', 'the', 'data', 'are', 'also', 'interpreted', 'in', 'terms', 'of', 'alternative', 'models', 'such', 'as', 'weak', 'righthanded', 'currents', 'or', 'majoron', 'emission', 'in', 'addition', 'nemo', '3', 'has', 'performed', 'precision', 'measurements', 'of', 'the', 'twoneutrino', 'double', 'beta', 'decay', 'for', 'seven', 'different', 'isotopes', 'the', 'most', 'recent', 'experimental', 'results', 'of', 'nemo', '3', 'are', 'presented', 'in', 'this', 'paper']] | [-0.040099815678136225, 0.21889815961630352, -0.002116146701395758, 0.14421264201262016, 0.017221661473139506, -0.16339574224307887, 0.07920185170494297, 0.31155654085292056, -0.1468795679195992, -0.3106166613788521, 0.09371849397016489, -0.3048698599950587, -0.04042863287993761, 0.2562263017858971, 0.09002927086154415, 0.10051898012988361, 0.09046467629738522, 0.06421907261699007, -0.07388938098187628, -0.22300899724576098, 0.22760848329625716, 0.12732917135235014, 0.24228259098277358, 0.06053572859661269, 0.0001988450684854068, -0.04718831162668826, -0.07578008414500138, -0.1231950970697563, -0.1705441965706154, 0.06139982156532486, 0.1827294494302076, 0.1148713085500231, 0.12639902909247835, -0.3909593885995386, -0.12918730500762252, 0.14302851473296846, 0.20566315597600557, 0.03105706340163823, -0.11601920941390467, -0.3106246536428278, 0.07894443848347368, -0.2161300947489448, -0.1035092268523968, -0.025933193435415256, 0.05989926349956635, -0.017383818887943818, -0.32881935498838827, 0.055717613781352086, -0.008254780315732476, 0.034669779233147645, -0.027749525854548762, -0.25102189552685444, 0.06149762891971868, 0.09644913834842954, 0.11840112478648358, -0.017412299590477767, 0.11182810125818615, -0.09769657485510323, -0.15222640403292395, 0.3268184889726579, -0.09140487531900468, -0.10985482434457368, 0.11686661856225884, -0.20481976088952303, -0.19274041225194685, 0.17969746913083576, 0.09485734632808315, 0.08084904649949148, -0.19421748589909027, 0.16818145240612775, -0.05049294949132056, 0.1693653063694677, 0.07858124796362702, 0.03183298284276427, 0.20278183963103605, 0.2647624895022797, 0.025459077163052953, 0.0008579286927557435, -0.19522397554564205, -0.039708858579089325, -0.3353877450870581, -0.17414453836573549, -0.06738838925572836, 0.06790528087568862, -0.022851657964821234, -0.12085021413094942, 0.40462364160170977, 0.03143174004209928, 0.15085973562133953, 0.0023411225098423846, 0.2422076423983436, 0.11250078635220993, 0.06124450420587485, -0.07277415112846276, 0.35981533289232775, 0.1847220681499967, 0.07856654067916319, -0.2258954881074692, 0.07541404270532363, 0.03154554232076572] |
710.5605 | Property (T) for non-unital C*-algebras | Inspired by the recent work of Bekka, we study two reasonable analogues of
property (T) for not necessarily unital C*-algebras. The stronger one of the
two is called ``property (T)'' and the weaker one is called ``property
(T_{e})''. It is shown that all non-unital C*-algebras do not have property (T)
(neither do their unitalizations). Moreover, all non-unital $\sigma$-unital
C*-algebras do not have property (T_e).
| math.OA math.FA | inspired by the recent work of bekka we study two reasonable analogues of property t for not necessarily unital calgebras the stronger one of the two is called property t and the weaker one is called property t_e it is shown that all nonunital calgebras do not have property t neither do their unitalizations moreover all nonunital sigmaunital calgebras do not have property t_e | [['inspired', 'by', 'the', 'recent', 'work', 'of', 'bekka', 'we', 'study', 'two', 'reasonable', 'analogues', 'of', 'property', 't', 'for', 'not', 'necessarily', 'unital', 'calgebras', 'the', 'stronger', 'one', 'of', 'the', 'two', 'is', 'called', 'property', 't', 'and', 'the', 'weaker', 'one', 'is', 'called', 'property', 't_e', 'it', 'is', 'shown', 'that', 'all', 'nonunital', 'calgebras', 'do', 'not', 'have', 'property', 't', 'neither', 'do', 'their', 'unitalizations', 'moreover', 'all', 'nonunital', 'sigmaunital', 'calgebras', 'do', 'not', 'have', 'property', 't_e']] | [-0.14348261654450897, 0.18931618780784665, -0.11023439316167719, 0.09423513627529795, -0.1224310224107097, -0.2320072901923032, -0.06583362885765613, 0.44547022074934034, -0.30876452776618185, -0.14221809777830327, 0.08044207828592449, -0.2719699291822811, -0.09024542713508246, 0.2067599165205297, -0.14700216912324465, -0.0016659760167674414, 0.04343928160175445, 0.1311633080421459, -0.07281879372229534, -0.24978243935084532, 0.3635966953718, -0.02004493385671623, 0.22079396895354703, 0.12284808735259706, 0.03755699488378707, -0.007727614153058283, -0.0024764245996872583, 0.0952429640520778, -0.14273681598477572, 0.00846630883299642, 0.23169532705039259, 0.1495055164550505, 0.3218537430086779, -0.3722532229231937, -0.1856165425851941, 0.27967408057006576, 0.10398360288568906, -0.0332192424093447, -0.018482835126286817, -0.18367959354959784, 0.16548135687434484, -0.23439332331338572, -0.05204448660850407, -0.12922494777197402, 0.061645987096227824, -0.058453189183233514, -0.24054678480717398, 0.018553703239867613, 0.3052200907841325, 0.08037869154756504, -0.04472015613305663, -0.0662967801419279, -0.0693654412374137, 0.09093929862692243, -0.050337779583291165, -0.024506227678752372, 0.10492382025612253, 0.00030412703811649294, -0.10911035472859762, 0.3123746599322037, -0.02486041296155207, -0.1650697278775393, 0.21839417917062603, -0.24027031638644755, -0.2283120941488989, 0.11075754034968596, -0.05515225488869917, 0.17994477259852584, -0.12988608486078207, 0.18082475276305415, -0.17901831995400172, 0.10274599419374551, 0.03175273851033241, 0.14172140592413526, 0.05878534958890033, -0.026784437605076365, 0.10296223861431437, 0.06789021004760076, 0.0965980734483945, -0.0438899625063179, -0.2756455311669953, -0.14139845003447835, -0.16609925117772367, 0.14046672388628526, -0.007317147513117922, -0.16518950508306882, 0.305307867064599, 0.17228829488158226, 0.21405462187018232, 0.09759241953078243, 0.2367584834259654, 0.048075794375368526, 0.1385494925576957, 0.09508163702955084, 0.2286733773847421, 0.25372540005039246, 0.051183330368191476, -0.14472753496929294, 0.0983885167377247, 0.17973022541356465] |
710.5606 | Ensemble inequivalence, bicritical points and azeotropy for generalized
Fofonoff flows | We present a theoretical description for the equilibrium states of a large
class of models of two-dimensional and geophysical flows, in arbitrary domains.
We account for the existence of ensemble inequivalence and negative specific
heat in those models, for the first time using explicit computations. We give
exact theoretical computation of a criteria to determine phase transition
location and type. Strikingly, this criteria does not depend on the model, but
only on the domain geometry. We report the first example of bicritical points
and second order azeotropy in the context of systems with long range
interactions.
| cond-mat.stat-mech | we present a theoretical description for the equilibrium states of a large class of models of twodimensional and geophysical flows in arbitrary domains we account for the existence of ensemble inequivalence and negative specific heat in those models for the first time using explicit computations we give exact theoretical computation of a criteria to determine phase transition location and type strikingly this criteria does not depend on the model but only on the domain geometry we report the first example of bicritical points and second order azeotropy in the context of systems with long range interactions | [['we', 'present', 'a', 'theoretical', 'description', 'for', 'the', 'equilibrium', 'states', 'of', 'a', 'large', 'class', 'of', 'models', 'of', 'twodimensional', 'and', 'geophysical', 'flows', 'in', 'arbitrary', 'domains', 'we', 'account', 'for', 'the', 'existence', 'of', 'ensemble', 'inequivalence', 'and', 'negative', 'specific', 'heat', 'in', 'those', 'models', 'for', 'the', 'first', 'time', 'using', 'explicit', 'computations', 'we', 'give', 'exact', 'theoretical', 'computation', 'of', 'a', 'criteria', 'to', 'determine', 'phase', 'transition', 'location', 'and', 'type', 'strikingly', 'this', 'criteria', 'does', 'not', 'depend', 'on', 'the', 'model', 'but', 'only', 'on', 'the', 'domain', 'geometry', 'we', 'report', 'the', 'first', 'example', 'of', 'bicritical', 'points', 'and', 'second', 'order', 'azeotropy', 'in', 'the', 'context', 'of', 'systems', 'with', 'long', 'range', 'interactions']] | [-0.1393394645298637, 0.07453171030404822, -0.06387725068210177, 0.060462623556910934, -0.053333569512081645, -0.10872312332988561, 0.08259265476711637, 0.3602519186776287, -0.2114677148880825, -0.30737032523999613, 0.12855193966606748, -0.2467714136922344, -0.13913720550772268, 0.19065227394215375, 0.00048208308029037045, 0.04263404070904168, 0.03840161354310112, 0.03463647210931716, -0.10428966807861191, -0.19375735971455774, 0.3446283385565039, 0.008222481856743494, 0.27267109203967266, 0.07167750505080524, 0.09120740220532753, -0.01529684500322522, -0.0031637469898366057, 0.025863341959241854, -0.1961309431368742, 0.09985657124040397, 0.21894533136802843, 0.06192456879944075, 0.22144626430235803, -0.4290112431626767, -0.2284796107802928, 0.14001490161414645, 0.10477957028585176, 0.1704218166244876, -0.04590805103240806, -0.24470087556983344, 0.05572450910888923, -0.13920135506486986, -0.11119387238431955, -0.11534891008826283, 0.02797139008665302, 0.04928069618472364, -0.2535246242575037, 0.09985183689544404, 0.10640985605035287, 0.08291284904407803, -0.11524948003595152, -0.08962334145326167, 0.028985121151587617, 0.15801214535410205, 0.001315400393574843, -0.05145585256104823, 0.06669293437395633, -0.14691184296437618, -0.11677415586503533, 0.38171146162979613, -0.05340580012731758, -0.1825215755525278, 0.22424667217031433, -0.16201967674229914, -0.14630180507083423, 0.09284895189921372, 0.21152411630221954, 0.1638957710141161, -0.10825246179592796, 0.05921303512877785, -0.034040386832202785, 0.15208134202597043, 0.0025854230528542152, 0.012161651015048847, 0.20481413122615777, 0.1448340533291533, 0.045455881919527506, 0.15133530944391774, -0.061259108580998145, -0.14965823993164426, -0.362527449731715, -0.15537304838047325, -0.16731248673750088, 0.022624050138650393, -0.07709985958293449, -0.2039278398345535, 0.41971941525116563, 0.16093460612334334, 0.22461551008746028, 0.04867860367085086, 0.23940853171613222, 0.10684453663998283, 0.016936375589087522, 0.0665888093499234, 0.22525329788428886, 0.10171621034290486, 0.10770655194452654, -0.19475388533495183, 0.06789612022597187, 0.09594028688540372] |
710.5607 | Extreme gravitational lensing by supermassive black holes | Extreme gravitational lensing refers to the bending of photon trajectories
that pass very close to supermassive black holes and that cannot be described
in the conventional weak deflection limit. A complete analytical description of
the whole expected phenomenology has been achieved in the recent years using
the strong deflection limit. These progresses and possible directions for new
investigations are reviewed in this paper at a basic level. We also discuss the
requirements for future facilities aimed at detecting higher order
gravitational lensing images generated by the supermassive black hole in the
Galactic center.
| gr-qc astro-ph | extreme gravitational lensing refers to the bending of photon trajectories that pass very close to supermassive black holes and that cannot be described in the conventional weak deflection limit a complete analytical description of the whole expected phenomenology has been achieved in the recent years using the strong deflection limit these progresses and possible directions for new investigations are reviewed in this paper at a basic level we also discuss the requirements for future facilities aimed at detecting higher order gravitational lensing images generated by the supermassive black hole in the galactic center | [['extreme', 'gravitational', 'lensing', 'refers', 'to', 'the', 'bending', 'of', 'photon', 'trajectories', 'that', 'pass', 'very', 'close', 'to', 'supermassive', 'black', 'holes', 'and', 'that', 'can', 'not', 'be', 'described', 'in', 'the', 'conventional', 'weak', 'deflection', 'limit', 'a', 'complete', 'analytical', 'description', 'of', 'the', 'whole', 'expected', 'phenomenology', 'has', 'been', 'achieved', 'in', 'the', 'recent', 'years', 'using', 'the', 'strong', 'deflection', 'limit', 'these', 'progresses', 'and', 'possible', 'directions', 'for', 'new', 'investigations', 'are', 'reviewed', 'in', 'this', 'paper', 'at', 'a', 'basic', 'level', 'we', 'also', 'discuss', 'the', 'requirements', 'for', 'future', 'facilities', 'aimed', 'at', 'detecting', 'higher', 'order', 'gravitational', 'lensing', 'images', 'generated', 'by', 'the', 'supermassive', 'black', 'hole', 'in', 'the', 'galactic', 'center']] | [-0.1257114115250396, 0.09847954161306645, -0.049768241402257156, 0.13281283360544316, -0.08940186944017385, -0.08568075233872266, 0.02234849404231546, 0.3333780290757088, -0.2082430341112566, -0.29402750568028463, 0.07084618030274485, -0.3088691795264628, -0.08739145534073418, 0.24845297870404542, -0.037789100196529576, 0.06630300213285584, 0.05797029254918403, 0.006292531940531224, -0.07548273580230555, -0.23173520254080204, 0.2955172462388873, 0.16435961060701532, 0.24907111465693155, 0.03602825412576265, 0.09387050193556129, 0.009702851252749245, -0.017713807077404668, 0.0697022206571072, -0.13751335770057074, 0.08961698421846953, 0.26438120492558154, 0.13472520919427514, 0.24318125697368004, -0.43997913725832677, -0.2253779353390626, 0.07337378617376089, 0.15910985850372372, 0.15917935699535327, -0.13600269027123663, -0.3129414500510122, 0.11364722248114784, -0.1849453589542115, -0.19363249374424762, -0.03295521596768633, 0.04543274589145477, 0.024220836705508383, -0.18150922483665513, 0.07363230855163296, 0.04514494113515111, -0.016855946652829013, -0.037856572094631, -0.03804243052814235, 0.004170193163519527, 0.12594491972568186, 0.11163957567608103, 0.06731514406961418, 0.15122944740281302, -0.16010457470250178, -0.1141749352930074, 0.39893974873058974, -0.07365715032705958, -0.09206176111524171, 0.1840894554067958, -0.2622407622278688, -0.17677605057511717, 0.12585365868351878, 0.1960374937848525, 0.13815434348392994, -0.16700252204974916, 0.07456802513750402, 0.03435791628633408, 0.1277625531037437, 0.11908003255388046, 0.06331343057149268, 0.40168562648877343, 0.16488321457414867, 0.036344927463165304, 0.10546688738333537, -0.1444285327291235, -0.028727472611787194, -0.2975659811760279, -0.07906194034210862, -0.14258659060826487, 0.08267300216090355, -0.0952500163158278, -0.06711259070149761, 0.351322271638213, 0.14537232897759594, 0.1815485895829315, 0.02193902757890681, 0.30283524180432575, 0.09484627028738961, 0.04611876632701209, 0.045546813887801574, 0.432607474177085, 0.09594934284092581, 0.12019719693938548, -0.1790883115175715, -0.001045346001232479, 0.04594943852243113] |
710.5608 | Measurement of the space-time interval between two events using the
retarded and advanced times of each event with respect to a time-like
world-line | Several recent studies have been devoted to investigating the limitations
that ordinary quantum mechanics and/or quantum gravity might impose on the
measurability of space-time observables. These analyses are often confined to
the simplified context of two-dimensional flat space-time and rely on a simple
procedure for the measurement of space-like distances based on the exchange of
light signals. We present a generalization of this measurement procedure
applicable to all three types of space-time intervals between two events in
space-times of any number of dimensions. We also present some preliminary
observations on an alternative measurement procedure that can be applied taking
into account the gravitational field of the measuring apparatus, and briefly
discuss quantum limitations of measurability in this context.
| gr-qc | several recent studies have been devoted to investigating the limitations that ordinary quantum mechanics andor quantum gravity might impose on the measurability of spacetime observables these analyses are often confined to the simplified context of twodimensional flat spacetime and rely on a simple procedure for the measurement of spacelike distances based on the exchange of light signals we present a generalization of this measurement procedure applicable to all three types of spacetime intervals between two events in spacetimes of any number of dimensions we also present some preliminary observations on an alternative measurement procedure that can be applied taking into account the gravitational field of the measuring apparatus and briefly discuss quantum limitations of measurability in this context | [['several', 'recent', 'studies', 'have', 'been', 'devoted', 'to', 'investigating', 'the', 'limitations', 'that', 'ordinary', 'quantum', 'mechanics', 'andor', 'quantum', 'gravity', 'might', 'impose', 'on', 'the', 'measurability', 'of', 'spacetime', 'observables', 'these', 'analyses', 'are', 'often', 'confined', 'to', 'the', 'simplified', 'context', 'of', 'twodimensional', 'flat', 'spacetime', 'and', 'rely', 'on', 'a', 'simple', 'procedure', 'for', 'the', 'measurement', 'of', 'spacelike', 'distances', 'based', 'on', 'the', 'exchange', 'of', 'light', 'signals', 'we', 'present', 'a', 'generalization', 'of', 'this', 'measurement', 'procedure', 'applicable', 'to', 'all', 'three', 'types', 'of', 'spacetime', 'intervals', 'between', 'two', 'events', 'in', 'spacetimes', 'of', 'any', 'number', 'of', 'dimensions', 'we', 'also', 'present', 'some', 'preliminary', 'observations', 'on', 'an', 'alternative', 'measurement', 'procedure', 'that', 'can', 'be', 'applied', 'taking', 'into', 'account', 'the', 'gravitational', 'field', 'of', 'the', 'measuring', 'apparatus', 'and', 'briefly', 'discuss', 'quantum', 'limitations', 'of', 'measurability', 'in', 'this', 'context']] | [-0.14201739887407017, 0.12644635000716503, -0.10865144698359704, 0.07846766454364978, -0.08001209387034809, -0.13270353561393539, 0.006921895110774469, 0.3496270850300789, -0.1820010245319898, -0.28284708573384276, 0.11354285094421357, -0.23736399189584842, -0.12151207542836161, 0.23757271184507062, -0.0729714760485784, 0.06019002237057282, 0.05733042176698445, -0.0015815210181398917, -0.09897726454566848, -0.23196320701390505, 0.3601325321567671, 0.041308275669600054, 0.277876462874208, 0.049321608168025645, 0.10002012811680087, 0.0416120720900974, -0.08962868341102691, 0.07723373757533224, -0.14899223257249353, 0.11456637419918078, 0.20688284216527592, 0.1500026259070136, 0.23182946546161073, -0.4693941748306408, -0.2552234321374888, 0.11459547996331575, 0.11933869954151244, 0.14594555247606614, -0.050039354755180114, -0.31893869595191743, 0.020246095276611337, -0.1433635013793611, -0.10584397468779047, -0.0933530890477537, -0.006599892697383855, -0.02875062442282057, -0.19015095989867034, 0.07672935249693337, 0.06797264470971363, 0.04967984728679412, -0.04073859720344861, -0.08161025709804084, 0.08179677878822184, 0.10522547305435322, 0.06739457261006711, -0.030641850485847236, 0.11966147663079645, -0.07136280531847013, -0.1556818919291846, 0.37872560625359164, -0.018423869156168175, -0.25516705357438046, 0.19447307650323453, -0.157287676960735, -0.18028300338014328, 0.04323032161544503, 0.19914111052146496, 0.12105286012451022, -0.17952884781821551, 0.09487412371810809, 0.0021507092396397206, 0.12107115913275235, 0.07158842267689564, 0.1015266789270415, 0.2589764326802944, 0.13433783796568544, 0.002288899856019702, 0.10931194446866511, -0.09832987133255702, -0.11310057955058055, -0.3902184078168969, -0.16468336445701673, -0.14972544377136943, 0.06581490792499824, -0.09087497330151333, -0.14496478671997282, 0.3743835437857404, 0.19364552910565952, 0.1775418287853442, -0.003255729847666571, 0.30043918210065973, 0.07535973806190699, 0.0437783198470597, -0.00018167691068502807, 0.30180367193371255, 0.15382920411589035, 0.061643157310199814, -0.18603439778543346, 0.012843094656630655, 0.05206457794233525] |
710.5609 | Accretion and ejection properties of embedded protostars: the case of
HH26, HH34 and HH46 IRS | We present the results of a near-IR spectroscopic analysis on 3 young
embedded sources (HH26IRS, HH34IRS and HH46IRS) belonging to different
star-forming regions and displaying well developed jet structures. The aim is
to investigate the source accretion and ejection properties and their
connection. We used VLT-ISAAC spectra (R~9000, H and K bands) to derive in a
self-consistent way parameters like the star luminosity, the accretion
luminosity and the mass accretion rate. Mass loss rates have also been
estimated from the analysis of different emission features. The spectra present
several emission lines but no photospheric features in absorption, indicating a
large veiling in H and K. We detected features commonly observed in jet-driving
sources (HI,[FeII],H_2,CO) and also a number of emission lines due to permitted
atomic transitions, like NaI and TiI. The NaI 2.2um doublet is observed along
with CO(2-0) band-head emission, indicating a common origin in an inner gaseous
disc heated by accretion. We find that accretion provides ~50% and ~80% of the
bolometric luminosity in HH26IRS and HH34IRS, as expected for accreting young
objects.Mass accretion and loss rates spanning 10^-8 - 10^-6 Msun/yr have been
measured. The derived Mloss/Macc is ~0.01 for HH26IRS and HH34IRS, and >0.1 for
HH46IRS, numbers that are in the range of values predicted by MHD jet-launching
models and found in the most active classical T Tauri stars. Comparison with
other similar studies seems to indicate that Class Is actually having
accretion- dominated luminosities are a limited number. Although the analysed
sample is small, we tentatively present some criteria to characterise such
sources. Studies like the one presented here but on larger samples of
candidates should be performed in order to test and refine these criteria.
| astro-ph | we present the results of a nearir spectroscopic analysis on 3 young embedded sources hh26irs hh34irs and hh46irs belonging to different starforming regions and displaying well developed jet structures the aim is to investigate the source accretion and ejection properties and their connection we used vltisaac spectra r9000 h and k bands to derive in a selfconsistent way parameters like the star luminosity the accretion luminosity and the mass accretion rate mass loss rates have also been estimated from the analysis of different emission features the spectra present several emission lines but no photospheric features in absorption indicating a large veiling in h and k we detected features commonly observed in jetdriving sources hifeiih_2co and also a number of emission lines due to permitted atomic transitions like nai and tii the nai 22um doublet is observed along with co20 bandhead emission indicating a common origin in an inner gaseous disc heated by accretion we find that accretion provides 50 and 80 of the bolometric luminosity in hh26irs and hh34irs as expected for accreting young objectsmass accretion and loss rates spanning 108 106 msunyr have been measured the derived mlossmacc is 001 for hh26irs and hh34irs and 01 for hh46irs numbers that are in the range of values predicted by mhd jetlaunching models and found in the most active classical t tauri stars comparison with other similar studies seems to indicate that class is actually having accretion dominated luminosities are a limited number although the analysed sample is small we tentatively present some criteria to characterise such sources studies like the one presented here but on larger samples of candidates should be performed in order to test and refine these criteria | [['we', 'present', 'the', 'results', 'of', 'a', 'nearir', 'spectroscopic', 'analysis', 'on', '3', 'young', 'embedded', 'sources', 'hh26irs', 'hh34irs', 'and', 'hh46irs', 'belonging', 'to', 'different', 'starforming', 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710.561 | Quantum matter wave dynamics with moving mirrors | When a stationary reflecting wall acting as a perfect mirror for an atomic
beam with well defined incident velocity is suddenly removed, the density
profile develops during the time evolution an oscillatory pattern known as
diffraction in time. The interference fringes are suppressed or their
visibility is diminished by several effects such as averaging over a
distribution of incident velocities, apodization of the aperture function,
atom-atom interactions, imperfect reflection or environmental noise. However,
when the mirror moves with finite velocity along the direction of propagation
of the beam, the visibility of the fringes is enhanced. For mirror velocities
below beam velocity, as used for slowing down the beam, the matter wave splits
into three regions separated by space-time points with classical analogues. For
mirror velocities above beam velocity a visibility enhancement occurs without a
classical counterpart. When the velocity of the beam approaches that of the
mirror the density oscillations rise by a factor 1.8 over the stationary value.
| quant-ph cond-mat.other | when a stationary reflecting wall acting as a perfect mirror for an atomic beam with well defined incident velocity is suddenly removed the density profile develops during the time evolution an oscillatory pattern known as diffraction in time the interference fringes are suppressed or their visibility is diminished by several effects such as averaging over a distribution of incident velocities apodization of the aperture function atomatom interactions imperfect reflection or environmental noise however when the mirror moves with finite velocity along the direction of propagation of the beam the visibility of the fringes is enhanced for mirror velocities below beam velocity as used for slowing down the beam the matter wave splits into three regions separated by spacetime points with classical analogues for mirror velocities above beam velocity a visibility enhancement occurs without a classical counterpart when the velocity of the beam approaches that of the mirror the density oscillations rise by a factor 18 over the stationary value | [['when', 'a', 'stationary', 'reflecting', 'wall', 'acting', 'as', 'a', 'perfect', 'mirror', 'for', 'an', 'atomic', 'beam', 'with', 'well', 'defined', 'incident', 'velocity', 'is', 'suddenly', 'removed', 'the', 'density', 'profile', 'develops', 'during', 'the', 'time', 'evolution', 'an', 'oscillatory', 'pattern', 'known', 'as', 'diffraction', 'in', 'time', 'the', 'interference', 'fringes', 'are', 'suppressed', 'or', 'their', 'visibility', 'is', 'diminished', 'by', 'several', 'effects', 'such', 'as', 'averaging', 'over', 'a', 'distribution', 'of', 'incident', 'velocities', 'apodization', 'of', 'the', 'aperture', 'function', 'atomatom', 'interactions', 'imperfect', 'reflection', 'or', 'environmental', 'noise', 'however', 'when', 'the', 'mirror', 'moves', 'with', 'finite', 'velocity', 'along', 'the', 'direction', 'of', 'propagation', 'of', 'the', 'beam', 'the', 'visibility', 'of', 'the', 'fringes', 'is', 'enhanced', 'for', 'mirror', 'velocities', 'below', 'beam', 'velocity', 'as', 'used', 'for', 'slowing', 'down', 'the', 'beam', 'the', 'matter', 'wave', 'splits', 'into', 'three', 'regions', 'separated', 'by', 'spacetime', 'points', 'with', 'classical', 'analogues', 'for', 'mirror', 'velocities', 'above', 'beam', 'velocity', 'a', 'visibility', 'enhancement', 'occurs', 'without', 'a', 'classical', 'counterpart', 'when', 'the', 'velocity', 'of', 'the', 'beam', 'approaches', 'that', 'of', 'the', 'mirror', 'the', 'density', 'oscillations', 'rise', 'by', 'a', 'factor', '18', 'over', 'the', 'stationary', 'value']] | [-0.16258317066002168, 0.23041604064077684, -0.10508855202992347, 0.025789026129235216, -0.03466258292912312, -0.11317900084720561, 0.02274657758948563, 0.40262982328920244, -0.28730505032453146, -0.3169021907411867, 0.06388721200740023, -0.252814233247425, -0.044004690088771004, 0.19608576340401698, -0.01694777752009203, 0.03725884379760462, 0.01855405832131235, 0.02170229781969632, -0.08273231845023989, -0.16007589245560644, 0.30456236218623584, 0.05947693164969953, 0.3025552981749833, 0.0022863349789437257, 0.10971478520271678, 0.06037304039353376, 0.010937731770165968, 0.044546410164637666, -0.06581285808328942, -0.014375386531201174, 0.16834607844551405, 0.04807688312241866, 0.223836075092824, -0.40673994029573396, -0.23532837032158888, 0.06556897142787797, 0.1794596009755232, 0.12548800684371084, -0.05102068920613929, -0.3199978623796934, -0.014778477570288023, -0.09710399100356354, -0.24205173133526864, 0.05386224507980939, 0.014829412215453742, 0.06644408488807227, -0.2405607564632529, 0.10363659152684956, 0.060453088971663196, 0.08579128152110947, -0.005530204700083478, -0.0894293350565874, -0.06593298973404339, 0.07246011114696117, 0.04673399164856839, 0.04658868051801791, 0.17010487747267358, -0.17233544823994754, -0.05109752640245283, 0.3986747818442542, -0.08207923776042536, -0.14488359380794583, 0.11545088162657412, -0.16134082956833373, 0.03458298586964982, 0.23825477771226716, 0.15657113288066485, 0.07853788762564226, -0.059985113637606065, -0.004196353543713782, -0.004074620617368352, 0.17616063266562051, 0.2018327989568641, 0.03016932963821217, 0.23133753327969112, 0.10540062175776646, 0.14172445242615334, 0.12465927491561984, -0.19136022679718598, -0.07242345880225019, -0.300959436146765, -0.08972674599444529, -0.15135076077385518, 0.035562962129892954, -0.06553253008392435, -0.143852030506955, 0.37817465731253225, 0.06432029500870186, 0.21335371860754002, 0.012153132320762431, 0.3667742542032176, 0.14898587221209453, 0.06551048010382685, 0.03875987365572426, 0.23618767541721933, 0.1660483719593605, 0.1034717730923011, -0.2655726303009656, 0.04236466679048473, 0.007355913669222368] |
710.5611 | Universal cycles for permutations | A universal cycle for permutations is a word of length n! such that each of
the n! possible relative orders of n distinct integers occurs as a cyclic
interval of the word. We show how to construct such a universal cycle in which
only n+1 distinct integers are used. This is best possible and proves a
conjecture of Chung, Diaconis and Graham.
| math.CO | a universal cycle for permutations is a word of length n such that each of the n possible relative orders of n distinct integers occurs as a cyclic interval of the word we show how to construct such a universal cycle in which only n1 distinct integers are used this is best possible and proves a conjecture of chung diaconis and graham | [['a', 'universal', 'cycle', 'for', 'permutations', 'is', 'a', 'word', 'of', 'length', 'n', 'such', 'that', 'each', 'of', 'the', 'n', 'possible', 'relative', 'orders', 'of', 'n', 'distinct', 'integers', 'occurs', 'as', 'a', 'cyclic', 'interval', 'of', 'the', 'word', 'we', 'show', 'how', 'to', 'construct', 'such', 'a', 'universal', 'cycle', 'in', 'which', 'only', 'n1', 'distinct', 'integers', 'are', 'used', 'this', 'is', 'best', 'possible', 'and', 'proves', 'a', 'conjecture', 'of', 'chung', 'diaconis', 'and', 'graham']] | [-0.21643500811149996, 0.20992587042611935, -0.03375219830852603, 0.0709014305067549, -0.03574732991476213, -0.1616074811261628, 0.0804408888122247, 0.3304942794023983, -0.3100650098415152, -0.2640363349909744, 0.040374297496577304, -0.24146917335794219, -0.17029257417250906, 0.17645899819270258, -0.10433974292790217, 0.027001840392908743, 0.018857609007447478, 0.12553317397232017, -0.015502242534796918, -0.34626646469076794, 0.2564691298175603, -0.01955917844128224, 0.18527701247723832, 0.015661996609020616, 0.09571291502535102, -0.027113043102285555, -0.03064331179484725, 0.027683060556169477, -0.14221932906190388, 0.07415373288395424, 0.29995938096075286, 0.1531714894057762, 0.25278628103795553, -0.3338814243193596, -0.15376925994566973, 0.16851893931086506, 0.17517710610052512, 0.07829942038064942, 0.04223164502951887, -0.15583130188526645, 0.1588324476596749, -0.14803511514178208, -0.10297655243606817, 0.0012966374596280435, 0.17310458394668757, 0.022425590383429683, -0.3031816168898536, 0.006006422467649945, 0.15991444506125257, 0.07058459738149278, 0.06635020145275179, -0.15063267734442506, 0.007453058891358876, 0.16090527284259518, 0.01712585928579492, 0.05896693540196265, 0.021195431525308277, -0.03763247042098233, -0.19003762904134008, 0.36233950057818043, -0.06312538346936626, -0.11379466127348883, 0.13968688906020216, -0.13070213995994098, -0.1821616499819943, 0.08439587152773334, 0.053069108894335165, 0.16356058106307061, -0.03982525984306009, 0.13432167914898827, -0.180947084250229, 0.1954573330529515, 0.1889704644995471, -0.0014464363958987018, 0.15578069712125486, 0.1320012082315741, 0.0783451159875239, 0.14428266104791435, -0.00785253110582069, -0.005070922988271641, -0.3100083617027849, -0.18632461554220608, -0.20826143177316314, 0.12588967088489764, -0.1439945112323321, -0.19793602722066064, 0.41558237367820355, 0.12014043926178748, 0.2394214696814156, 0.11036217345803555, 0.19905264438280174, 0.07336189241651746, 0.03876458394205979, 0.08918795950951115, 0.06531332451249322, 0.12914828577026305, -0.0479416741178401, -0.18784049588571033, 0.03411082272237587, 0.16446030954079283] |
710.5612 | Dynamics of a 1-D model for the emergence of the plasma edge shear flow
layer with momentum conserving Reynolds stress | A one-dimensional version of the second-order transition model based on the
sheared flow amplification by Reynolds stress and turbulence supression by
shearing is presented. The model discussed in this paper includes a form of the
Reynolds stress which explicitly conserves momentum. A linear stability
analysis of the critical point is performed. Then, it is shown that the
dynamics of weakly unstable states is determined by a reduced equation for the
shear flow. In the case in which the flow damping term is diffusive, the
stationary solutions are those of the real Ginzburg-Landau equation.
| physics.plasm-ph | a onedimensional version of the secondorder transition model based on the sheared flow amplification by reynolds stress and turbulence supression by shearing is presented the model discussed in this paper includes a form of the reynolds stress which explicitly conserves momentum a linear stability analysis of the critical point is performed then it is shown that the dynamics of weakly unstable states is determined by a reduced equation for the shear flow in the case in which the flow damping term is diffusive the stationary solutions are those of the real ginzburglandau equation | [['a', 'onedimensional', 'version', 'of', 'the', 'secondorder', 'transition', 'model', 'based', 'on', 'the', 'sheared', 'flow', 'amplification', 'by', 'reynolds', 'stress', 'and', 'turbulence', 'supression', 'by', 'shearing', 'is', 'presented', 'the', 'model', 'discussed', 'in', 'this', 'paper', 'includes', 'a', 'form', 'of', 'the', 'reynolds', 'stress', 'which', 'explicitly', 'conserves', 'momentum', 'a', 'linear', 'stability', 'analysis', 'of', 'the', 'critical', 'point', 'is', 'performed', 'then', 'it', 'is', 'shown', 'that', 'the', 'dynamics', 'of', 'weakly', 'unstable', 'states', 'is', 'determined', 'by', 'a', 'reduced', 'equation', 'for', 'the', 'shear', 'flow', 'in', 'the', 'case', 'in', 'which', 'the', 'flow', 'damping', 'term', 'is', 'diffusive', 'the', 'stationary', 'solutions', 'are', 'those', 'of', 'the', 'real', 'ginzburglandau', 'equation']] | [-0.18862873119407245, 0.18603200138977138, -0.09927670695688776, 0.03633167630221735, -0.01688607141215314, -0.09397190257466288, -0.04814715735409008, 0.24003630996711792, -0.2847737097732162, -0.20817600077478796, 0.09604647998029607, -0.2556797201615027, -0.1631642251515821, 0.18537984904082072, 0.029076795123757854, 0.10096459444712406, 0.044237190200346374, 0.0390684871874269, -0.010020189187539521, -0.19359438121318817, 0.33919788082630964, 0.04879699996922926, 0.33231599059116135, 0.01389056193311849, 0.11315456997623206, -0.05508929716738602, 0.011342446821721731, 0.08656927965260962, -0.1933950518276849, 0.03077854796986206, 0.18158308077498428, -0.013592628481727775, 0.2629221097155604, -0.40316564731940785, -0.2592517028873165, 0.016056760191737164, 0.13341735732511326, 0.11888557154515017, -0.009599606886128044, -0.24862165326222538, 0.08168859900005403, -0.15290087783929482, -0.12617965659467123, -0.07998358781239198, 0.027172683229950326, 0.05204069122712138, -0.2856384583658749, 0.1782581930960058, 0.09228815404718281, 0.07081030646178832, -0.10110086052908852, -0.007781488600597587, -0.08856846998015078, 0.03922284884698769, 0.08629175244520108, 0.012967569037510823, 0.12949497012862116, -0.1726943102730338, -0.03032754158904095, 0.41362529774747225, -0.06698130517824827, -0.2820219025826357, 0.1429395179479553, -0.1261353819851353, -0.055770815773216145, 0.1813469538765569, 0.16965149863753268, 0.1333572633103818, -0.13850193083166115, 0.08281159081924407, -0.0672535946071949, 0.14552870899393794, 0.025360395776368276, -0.11781917518926083, 0.15126170383225526, 0.1926193063557949, 0.06610448961897243, 0.1673360432914999, -0.07480354132305991, -0.15402071939290612, -0.3544326604454107, -0.13041382391626635, -0.19338761501124388, 0.05539747385773808, -0.06799462042803381, -0.18207141067125454, 0.3878652859073613, 0.11604028746425625, 0.17604113867761748, 0.03308134054845219, 0.3042495427402838, 0.21389961696320003, 0.018021141612021032, 0.12653566028181745, 0.29481295844720257, 0.19328222412525886, 0.15004638307327303, -0.26230884116062875, 0.05530972985590818, 0.13364720186068407] |
710.5613 | Flat-space picture of gravity vs. General Relativity: a precision test
for present ether-drift experiments | Modern ether-drift experiments in vacuum could in principle detect the tiny
refractive index that, in a flat-space picture of gravity, is appropriate for
an apparatus placed on the Earth's surface. In this picture, in fact, if there
were a preferred reference frame, light on the Earth would exhibit a slight
anisotropy with definite quantitative differences from General Relativity. By
re-analyzing the data published by two modern experiments with rotating optical
resonators, and concentrating on the part of the signal that should be free of
spurious systematic effects, we have found evidences that would support the
flat-space scenario.
| gr-qc | modern etherdrift experiments in vacuum could in principle detect the tiny refractive index that in a flatspace picture of gravity is appropriate for an apparatus placed on the earths surface in this picture in fact if there were a preferred reference frame light on the earth would exhibit a slight anisotropy with definite quantitative differences from general relativity by reanalyzing the data published by two modern experiments with rotating optical resonators and concentrating on the part of the signal that should be free of spurious systematic effects we have found evidences that would support the flatspace scenario | [['modern', 'etherdrift', 'experiments', 'in', 'vacuum', 'could', 'in', 'principle', 'detect', 'the', 'tiny', 'refractive', 'index', 'that', 'in', 'a', 'flatspace', 'picture', 'of', 'gravity', 'is', 'appropriate', 'for', 'an', 'apparatus', 'placed', 'on', 'the', 'earths', 'surface', 'in', 'this', 'picture', 'in', 'fact', 'if', 'there', 'were', 'a', 'preferred', 'reference', 'frame', 'light', 'on', 'the', 'earth', 'would', 'exhibit', 'a', 'slight', 'anisotropy', 'with', 'definite', 'quantitative', 'differences', 'from', 'general', 'relativity', 'by', 'reanalyzing', 'the', 'data', 'published', 'by', 'two', 'modern', 'experiments', 'with', 'rotating', 'optical', 'resonators', 'and', 'concentrating', 'on', 'the', 'part', 'of', 'the', 'signal', 'that', 'should', 'be', 'free', 'of', 'spurious', 'systematic', 'effects', 'we', 'have', 'found', 'evidences', 'that', 'would', 'support', 'the', 'flatspace', 'scenario']] | [-0.12746302046382213, 0.17078202898201855, -0.12294486356291863, 0.07237328257718958, -0.08238284802544363, -0.10744055447447085, 0.010711349162858786, 0.3846818024110164, -0.16903956076994384, -0.32644048632727457, 0.06902178155963991, -0.3013057804560846, -0.12072320590659823, 0.23069910970564508, -0.08106560419438426, 0.007259492407140043, 0.08902915424460872, 0.0314554926296024, -0.06603665081016027, -0.1706882306355407, 0.2939524269211538, 0.09512559525169355, 0.2732340548254703, 0.055982994364536146, 0.04643049492133474, -0.019473476627044687, -0.03430334096966484, 0.05643820983823389, -0.09110003021014938, 0.09420357367561497, 0.23126108547883859, 0.10474490889434501, 0.22578867417328136, -0.48029020300000597, -0.24080856617770552, 0.0882815847619792, 0.09403617287561125, 0.13620867781321874, -0.12194564999873299, -0.2856240894299807, 0.02993187085322114, -0.1224058730750988, -0.15812185591029138, -0.03838872832615774, 0.021737066971272537, -0.06113492058993308, -0.21104570525247104, 0.07333987455373418, 0.02986474138367729, 0.06922313676590157, -0.07230215636802088, -0.09556074403754446, 0.0045884699301467725, 0.0571153678681663, 0.08231182060127636, 0.03064478861321647, 0.13457150996864303, -0.06696320761753649, -0.08826619027585712, 0.42295925222102015, -0.12028946917202983, -0.190193285527111, 0.15439061637122914, -0.21708743656342178, -0.11541311522302478, 0.10030368554943539, 0.1443294473856534, 0.05855050241363417, -0.12211152621708118, 0.06796165759202343, -0.06155191222205758, 0.1987636619314705, 0.09652452253419713, 0.022287884193650187, 0.3180879607758264, 0.12317098413603668, -0.0041054300459812286, 0.07005953545305282, -0.0924109694303119, -0.04120209526520261, -0.3246836067014134, -0.11855206601609736, -0.16494909957166493, 0.04783917178121424, -0.10958429404817037, -0.13873582045768493, 0.3251654289413205, 0.1476507484204779, 0.13702481863156116, -0.028540086927679703, 0.28602368697120817, 0.04876991113667021, 0.10706876053177204, 0.0043415039316895086, 0.3788745964387643, 0.07480719155804783, 0.11181638952699903, -0.19404436976495246, 0.039499588008278734, -0.0004588142469448527] |
710.5614 | Dynamics and geometry of the Rauzy-Veech induction for quadratic
differentials | Interval exchange maps are related to geodesic flows on translation surfaces;
they correspond to the first return maps of the vertical flow on a transverse
segment. The Rauzy-Veech induction on the space of interval exchange maps
provides a powerful tool to analyze the Teichmueller geodesic flow on the
moduli space of Abelian differentials. Several major results have been proved
using this renormalization.
Danthony and Nogueira introduced in 1988 a natural generalization of interval
exchange transformations, namely the linear involutions. These maps are related
to general measured foliations on surfaces (orientable or not). In this paper
we are interested by such maps related to geodesic flow on (orientable) flat
surfaces with Z/2Z linear holonomy. We relate geometry and dynamics of such
maps to the combinatorics of generalized permutations. We study an analogue of
the Rauzy-Veech induction and give an efficient combinatorial characterization
of its attractors. We establish a natural bijection between the extended Rauzy
classes of generalized permutations and connected components of the strata of
meromorphic quadratic differentials with at most simple poles, which allows, in
particular, to classify the connected components of all exceptional strata.
| math.GT math.DS | interval exchange maps are related to geodesic flows on translation surfaces they correspond to the first return maps of the vertical flow on a transverse segment the rauzyveech induction on the space of interval exchange maps provides a powerful tool to analyze the teichmueller geodesic flow on the moduli space of abelian differentials several major results have been proved using this renormalization danthony and nogueira introduced in 1988 a natural generalization of interval exchange transformations namely the linear involutions these maps are related to general measured foliations on surfaces orientable or not in this paper we are interested by such maps related to geodesic flow on orientable flat surfaces with z2z linear holonomy we relate geometry and dynamics of such maps to the combinatorics of generalized permutations we study an analogue of the rauzyveech induction and give an efficient combinatorial characterization of its attractors we establish a natural bijection between the extended rauzy classes of generalized permutations and connected components of the strata of meromorphic quadratic differentials with at most simple poles which allows in particular to classify the connected components of all exceptional strata | [['interval', 'exchange', 'maps', 'are', 'related', 'to', 'geodesic', 'flows', 'on', 'translation', 'surfaces', 'they', 'correspond', 'to', 'the', 'first', 'return', 'maps', 'of', 'the', 'vertical', 'flow', 'on', 'a', 'transverse', 'segment', 'the', 'rauzyveech', 'induction', 'on', 'the', 'space', 'of', 'interval', 'exchange', 'maps', 'provides', 'a', 'powerful', 'tool', 'to', 'analyze', 'the', 'teichmueller', 'geodesic', 'flow', 'on', 'the', 'moduli', 'space', 'of', 'abelian', 'differentials', 'several', 'major', 'results', 'have', 'been', 'proved', 'using', 'this', 'renormalization', 'danthony', 'and', 'nogueira', 'introduced', 'in', '1988', 'a', 'natural', 'generalization', 'of', 'interval', 'exchange', 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710.5615 | The Capabilities of Monochromatic EC Neutrino Beams with the SPS Upgrade | The goal for future neutrino facilities is the determination of the U(e3)
mixing and CP violation in neutrino oscillations. This will require precision
experiments with a very intense neutrino source and energy control. With this
objective in mind, the creation of monochromatic neutrino beams from the
electron capture decay of boosted ions by the SPS of CERN has been proposed. We
discuss the capabilities of such a facility as a function of the energy of the
boost and the baseline for the detector. We conclude that the SPS upgrade to
1000 GeV is crucial to reach a better sensitivity to CP violation iff it is
accompanied by a longer baseline. We compare the physics potential for two
different configurations: I) $\gamma=90$ and $\gamma=195$ (maximum achievable
at present SPS) to Frejus; II) $\gamma=195$ and $\gamma=440$ (maximum
achievable at upgraded SPS) to Canfranc. The main conclusion is that, whereas
the gain in the determination of U(e3) is rather modest, setup II provides much
better sensitivity to CP violation.
| hep-ph | the goal for future neutrino facilities is the determination of the ue3 mixing and cp violation in neutrino oscillations this will require precision experiments with a very intense neutrino source and energy control with this objective in mind the creation of monochromatic neutrino beams from the electron capture decay of boosted ions by the sps of cern has been proposed we discuss the capabilities of such a facility as a function of the energy of the boost and the baseline for the detector we conclude that the sps upgrade to 1000 gev is crucial to reach a better sensitivity to cp violation iff it is accompanied by a longer baseline we compare the physics potential for two different configurations i gamma90 and gamma195 maximum achievable at present sps to frejus ii gamma195 and gamma440 maximum achievable at upgraded sps to canfranc the main conclusion is that whereas the gain in the determination of ue3 is rather modest setup ii provides much better sensitivity to cp violation | [['the', 'goal', 'for', 'future', 'neutrino', 'facilities', 'is', 'the', 'determination', 'of', 'the', 'ue3', 'mixing', 'and', 'cp', 'violation', 'in', 'neutrino', 'oscillations', 'this', 'will', 'require', 'precision', 'experiments', 'with', 'a', 'very', 'intense', 'neutrino', 'source', 'and', 'energy', 'control', 'with', 'this', 'objective', 'in', 'mind', 'the', 'creation', 'of', 'monochromatic', 'neutrino', 'beams', 'from', 'the', 'electron', 'capture', 'decay', 'of', 'boosted', 'ions', 'by', 'the', 'sps', 'of', 'cern', 'has', 'been', 'proposed', 'we', 'discuss', 'the', 'capabilities', 'of', 'such', 'a', 'facility', 'as', 'a', 'function', 'of', 'the', 'energy', 'of', 'the', 'boost', 'and', 'the', 'baseline', 'for', 'the', 'detector', 'we', 'conclude', 'that', 'the', 'sps', 'upgrade', 'to', '1000', 'gev', 'is', 'crucial', 'to', 'reach', 'a', 'better', 'sensitivity', 'to', 'cp', 'violation', 'iff', 'it', 'is', 'accompanied', 'by', 'a', 'longer', 'baseline', 'we', 'compare', 'the', 'physics', 'potential', 'for', 'two', 'different', 'configurations', 'i', 'gamma90', 'and', 'gamma195', 'maximum', 'achievable', 'at', 'present', 'sps', 'to', 'frejus', 'ii', 'gamma195', 'and', 'gamma440', 'maximum', 'achievable', 'at', 'upgraded', 'sps', 'to', 'canfranc', 'the', 'main', 'conclusion', 'is', 'that', 'whereas', 'the', 'gain', 'in', 'the', 'determination', 'of', 'ue3', 'is', 'rather', 'modest', 'setup', 'ii', 'provides', 'much', 'better', 'sensitivity', 'to', 'cp', 'violation']] | [-0.07498037828181899, 0.17904725124720822, -0.04981858565359179, 0.10319927210256344, -0.06305743319292863, -0.15949893896044656, 0.054803331477116, 0.3538077165005785, -0.1950026390340292, -0.3339924498856293, 0.06920171262569387, -0.29963515938795876, 0.021394136670807546, 0.19755009124478834, 0.012697425205260515, 0.061186575850076745, 0.09200364296098776, -0.0050065211500182295, -0.09320925334045156, -0.19093177224311864, 0.2526210851205343, 0.20291353712479274, 0.29918035396346543, 0.13290965536496405, 0.09807410542359293, -0.03129467839537414, -0.023767578186975283, -0.03479525886588927, -0.08707595457372284, 0.07697640015941226, 0.25303097529562585, 0.19310654375109482, 0.19131520177717462, -0.3714102127899726, -0.13937326677312906, 0.14411006004436674, 0.11094726214933237, 0.07030781803257538, -0.08337609107944775, -0.2566132021447023, 0.07713456036854592, -0.19096102936927117, -0.1475482777833487, 0.002540674134665592, -0.008811842864661506, 0.003215671275657686, -0.3334231322775877, 0.008122561647641387, -0.0336192408774161, 0.03749787043145096, 0.024893898466093974, -0.17147359556208056, 0.049555567832607214, 0.05766257109459151, 0.06895226593355112, 0.06062846850378044, 0.09059224523829691, -0.14763125532560728, -0.1093245004134422, 0.3971460554861661, -0.07118020742905862, -0.11863034826026043, 0.16253546422460313, -0.22162300479513677, -0.11062036015262658, 0.1448886077286619, 0.1758170803895954, 0.06623954546468502, -0.1749703399865239, 0.04010823808688049, -0.010831956451786964, 0.15789871766147287, 0.07480758495036174, 0.06297386041136854, 0.23209527701026564, 0.2750313288729751, 0.13284285790710287, 0.07207722688432444, -0.14207666790479737, -0.026601466326268784, -0.35215768308914974, -0.11990012918232065, -0.1118103699984424, 0.04423889688526591, -0.0008417639933406573, -0.03372075162319974, 0.41987496097854365, 0.14726342517092372, 0.14113798443736, 0.018936097789838006, 0.29991551322622617, 0.06217048284950469, 0.07431908408744317, 0.021787949761545116, 0.33801992267835884, 0.08364246019698454, 0.16984904777032858, -0.2885974566325207, 0.05894703492169466, -0.010137381935209938] |
710.5616 | Analysis of CLAS data on double charge pion electroproduction | Recent developments in phenomenological analysis of the CLAS data on 2$\pi$
electroproduction are presented. The contributions from isobar channels and
$P_{11}(1440)$, $D_{13}(1520)$ electrocouplings at $Q^{2}$ from 0.25 to 0.6
GeV$^2$ were determined from the analysis of comprehensive data on differential
and fully integrated 2$\pi$ cross sections. Experiment Numbers: E94-005 Group:
Hall B
| hep-ex | recent developments in phenomenological analysis of the clas data on 2pi electroproduction are presented the contributions from isobar channels and p_111440 d_131520 electrocouplings at q2 from 025 to 06 gev2 were determined from the analysis of comprehensive data on differential and fully integrated 2pi cross sections experiment numbers e94005 group hall b | [['recent', 'developments', 'in', 'phenomenological', 'analysis', 'of', 'the', 'clas', 'data', 'on', '2pi', 'electroproduction', 'are', 'presented', 'the', 'contributions', 'from', 'isobar', 'channels', 'and', 'p_111440', 'd_131520', 'electrocouplings', 'at', 'q2', 'from', '025', 'to', '06', 'gev2', 'were', 'determined', 'from', 'the', 'analysis', 'of', 'comprehensive', 'data', 'on', 'differential', 'and', 'fully', 'integrated', '2pi', 'cross', 'sections', 'experiment', 'numbers', 'e94005', 'group', 'hall', 'b']] | [-0.0845870945611786, 0.16147216847714255, -0.10899577884222655, 0.048752699156894404, -0.027567511040936497, -0.09196879838903745, 0.05983319381872813, 0.31268852047037843, -0.14306829584872022, -0.27596485404772503, -0.04407553310168213, -0.46261555197484355, -0.006828740476539322, 0.23293869018408597, 0.045384081409258, 0.13223194646849937, 0.10095628264232301, -0.052065483979223406, -0.023465100310596766, -0.14242633793722181, 0.30899301651573063, 5.6997617231864554e-05, 0.25052685397403207, 0.11920240426472589, 0.03964932153786661, 0.06833847845886268, -0.10789497755467892, -0.08905883643812701, -0.22874472849071026, 0.04197756089635339, 0.34601068295830606, 0.03339694608353859, 0.034432386358579, -0.3647137975101085, -0.05203761401421884, -0.06886454145697986, 0.12652401159535728, 0.062316365594811296, -0.004779666064161004, -0.3827432144944574, 0.06690402546961445, -0.19084945080034874, -0.05338564509635463, -0.12245514461149772, 0.05968525091998791, -0.08441103987541854, -0.28841109887934196, 0.07181487067182567, -0.10919018924309343, 0.16144945370215996, -0.032524408635628575, -0.36007502660447477, -0.015218946799708932, 0.0399543766534942, 0.06479335841083643, 0.11583735174545105, 0.16777552605844012, -0.10333758716781934, -0.15860416590437001, 0.303203397631353, 0.0007942599226154533, -0.14608334782065405, 0.012194867738906075, -0.2875893881507948, -0.1286169821350817, 0.24074983242533954, 0.23120907279571482, 0.0623294382393771, -0.18269896657005244, 0.1223876086570432, 0.01451571908432479, 0.18339655968342342, 0.07163199153272252, 0.007540632404533087, 0.09973682395602558, 0.177443243709265, -0.14259369140856115, -0.04429879521622377, -0.1498038367295236, -0.09882458989216271, -0.3923465406485632, -0.026859871440512294, -0.029242433625839503, 0.11407906552502776, 0.006720308087168115, 0.012620048615716252, 0.29698994492783265, 0.065576632233227, 0.2825176563186973, 0.0166092206559637, 0.35521530545334895, 0.0760984254051365, 0.09378522740992006, 0.021667984734271086, 0.2747925557743977, 0.23906517261182705, 0.1908689386156552, -0.20100557905000946, -0.03285537252668291, -0.02609671245091686] |
710.5617 | Signatures of molecular correlations in the few-electron dynamics of
coupled quantum dots | We study the effect of Coulomb interaction on the few-electron dynamics in
coupled semiconductor quantum dots by exact diagonalization of the few-body
Hamiltonian. The oscillation of carriers is strongly affected by the number of
confined electrons and by the strength of the interdot correlations.
Single-frequency oscillations are found for either uncorrelated or highly
correlated states, while multi-frequency oscillations take place in the
intermediate regime. Moreover, Coulomb interaction renders few-particle
oscillations sensitive to perturbations in spatial directions other than that
of the tunneling, contrary to the single-particle case. The inclusion of
acoustic phonon scattering does not modify the carrier dynamics substantially
at short times, but can damp oscillation modes selectively at long times.
| cond-mat.mes-hall | we study the effect of coulomb interaction on the fewelectron dynamics in coupled semiconductor quantum dots by exact diagonalization of the fewbody hamiltonian the oscillation of carriers is strongly affected by the number of confined electrons and by the strength of the interdot correlations singlefrequency oscillations are found for either uncorrelated or highly correlated states while multifrequency oscillations take place in the intermediate regime moreover coulomb interaction renders fewparticle oscillations sensitive to perturbations in spatial directions other than that of the tunneling contrary to the singleparticle case the inclusion of acoustic phonon scattering does not modify the carrier dynamics substantially at short times but can damp oscillation modes selectively at long times | [['we', 'study', 'the', 'effect', 'of', 'coulomb', 'interaction', 'on', 'the', 'fewelectron', 'dynamics', 'in', 'coupled', 'semiconductor', 'quantum', 'dots', 'by', 'exact', 'diagonalization', 'of', 'the', 'fewbody', 'hamiltonian', 'the', 'oscillation', 'of', 'carriers', 'is', 'strongly', 'affected', 'by', 'the', 'number', 'of', 'confined', 'electrons', 'and', 'by', 'the', 'strength', 'of', 'the', 'interdot', 'correlations', 'singlefrequency', 'oscillations', 'are', 'found', 'for', 'either', 'uncorrelated', 'or', 'highly', 'correlated', 'states', 'while', 'multifrequency', 'oscillations', 'take', 'place', 'in', 'the', 'intermediate', 'regime', 'moreover', 'coulomb', 'interaction', 'renders', 'fewparticle', 'oscillations', 'sensitive', 'to', 'perturbations', 'in', 'spatial', 'directions', 'other', 'than', 'that', 'of', 'the', 'tunneling', 'contrary', 'to', 'the', 'singleparticle', 'case', 'the', 'inclusion', 'of', 'acoustic', 'phonon', 'scattering', 'does', 'not', 'modify', 'the', 'carrier', 'dynamics', 'substantially', 'at', 'short', 'times', 'but', 'can', 'damp', 'oscillation', 'modes', 'selectively', 'at', 'long', 'times']] | [-0.18260502874077897, 0.2915865096812403, -0.02546876683897738, 0.08095629223160879, 0.012020797884490873, -0.18300087843090296, 0.03711215806418165, 0.3330451349611394, -0.2579831331802, -0.25786089815665036, -0.0014698216847526574, -0.3292053897603182, -0.09252650451422337, 0.1886438835208537, 0.08349621320875096, -0.03329818347109332, 0.08483177895998649, -0.00952982233970293, -0.03660680539906025, -0.17472871590039826, 0.2792746144779293, 0.07352229300366682, 0.29926716518821195, 0.06643356350001081, 0.01272491754830948, 0.0669933893576464, 0.045296472896422656, -0.0032961002839978653, -0.08042809593741497, 0.009548449929882605, 0.21137231471675477, -0.09125219542953086, 0.24115468024891534, -0.5222790832797598, -0.21846467761289595, 0.06244573241981145, 0.25362688770733904, 0.1893024634586514, -0.004830431327198832, -0.3193368865156247, -0.03964815265291171, -0.11699919636261516, -0.10709581337869167, -0.0691163185235512, 0.029506144953692064, 0.04258536589570992, -0.24493301093545078, 0.15752378436341782, 0.04132201469370297, -0.014409133499222142, -0.03984959022324931, -0.05163238307328096, -0.022779528793762438, 0.0752751711593841, 0.05205127794761211, -0.010712775553526756, 0.18020187371959245, -0.10339297768171361, -0.06444852473006384, 0.3538765384463269, -0.07302923874794942, -0.16095555214477436, 0.20998109766514972, -0.22091576473446498, -0.04435847367026976, 0.17160948055347294, 0.12922960296522693, 0.09155191677356404, -0.12022065051340698, 0.09813949308331107, 0.05067648675425777, 0.1822018475504592, 0.06666248856968846, 0.1421046967194083, 0.22576234918545066, 0.13451255668457765, 0.06154665852955077, 0.08240472870082678, -0.11462764786015864, -0.10778071686425912, -0.22726947119060373, -0.02387935572915012, -0.22165426868949517, 0.09256110205244893, -0.03102796171346459, -0.165312285796972, 0.4501993132024446, 0.1506244328723239, 0.16128406181607197, -0.02075275729709704, 0.25992136129311155, 0.13681422346936806, 0.08325067484318945, 0.022476196613362327, 0.32306428819096517, 0.15070980183996394, 0.06358720179871723, -0.36884185191593133, 0.03209462062139729, 0.0064685798528704] |
710.5618 | Matter sources for a Null Big Bang | We consider the properties of stress-energy tensors compatible with a Null
Big Bang, i.e., cosmological evolution starting from a Killing horizon rather
than a singularity. For Kantowski-Sachs cosmologies, it is shown that if matter
satisfies the Null Energy Condition (NEC), then (i) regular cosmological
evolution can only start from a Killing horizon, (ii) matter is absent at the
horizon, and (iii) matter can only appear in the cosmological region due to
interaction with vacuum. The latter is understood phenomenologically as a fluid
whose stress tensor is insensitive to boosts in a particular direction. We also
argue that matter is absent in a static region beyond the horizon. All this
generalizes the observations recently obtained for a mixture of dust and a
vacuum fluid. If, however, we admit the existence of phantom matter, its
certain special kinds (with the parameter $w \leq -3$) are consistent with a
Null Big Bang without interaction with vacuum (or without vacuum fluid at all).
Then in the static region there is matter with $w\geq -1/3$. Alternatively, the
evolution can begin from a horizon in an infinitely remote past, leading to a
scenario combining the features of a Null Big Bang and an emergent universe.
| gr-qc astro-ph hep-th | we consider the properties of stressenergy tensors compatible with a null big bang ie cosmological evolution starting from a killing horizon rather than a singularity for kantowskisachs cosmologies it is shown that if matter satisfies the null energy condition nec then i regular cosmological evolution can only start from a killing horizon ii matter is absent at the horizon and iii matter can only appear in the cosmological region due to interaction with vacuum the latter is understood phenomenologically as a fluid whose stress tensor is insensitive to boosts in a particular direction we also argue that matter is absent in a static region beyond the horizon all this generalizes the observations recently obtained for a mixture of dust and a vacuum fluid if however we admit the existence of phantom matter its certain special kinds with the parameter w leq 3 are consistent with a null big bang without interaction with vacuum or without vacuum fluid at all then in the static region there is matter with wgeq 13 alternatively the evolution can begin from a horizon in an infinitely remote past leading to a scenario combining the features of a null big bang and an emergent universe | [['we', 'consider', 'the', 'properties', 'of', 'stressenergy', 'tensors', 'compatible', 'with', 'a', 'null', 'big', 'bang', 'ie', 'cosmological', 'evolution', 'starting', 'from', 'a', 'killing', 'horizon', 'rather', 'than', 'a', 'singularity', 'for', 'kantowskisachs', 'cosmologies', 'it', 'is', 'shown', 'that', 'if', 'matter', 'satisfies', 'the', 'null', 'energy', 'condition', 'nec', 'then', 'i', 'regular', 'cosmological', 'evolution', 'can', 'only', 'start', 'from', 'a', 'killing', 'horizon', 'ii', 'matter', 'is', 'absent', 'at', 'the', 'horizon', 'and', 'iii', 'matter', 'can', 'only', 'appear', 'in', 'the', 'cosmological', 'region', 'due', 'to', 'interaction', 'with', 'vacuum', 'the', 'latter', 'is', 'understood', 'phenomenologically', 'as', 'a', 'fluid', 'whose', 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710.5619 | Electromagnetic Mass Models in General Theory of Relativity | "Electromagnetic mass" where gravitational mass and other physical quantities
originate from the electromagnetic field alone has a century long distinguished
history. In the introductory chapter we have divided this history into three
broad categories -- classical, quantum mechanical and general relativistic.
Each of the categories has been described at a length to get the detailed
picture of the physical background. Recent developments on Repulsive
Electromagnetic Mass Models are of special interest in this introductory part
of the thesis. In this context we have also stated motivation of our work. In
the subsequent chapters we have presented our results and their physical
significances. It is concluded that the electromagnetic mass models which are
the sources of purely electromagnetic origin ``have not only heuristic flavor
associated with the conjecture of Lorentz but even a physics having
unconventional yet novel features characterizing their own contributions
independent of the rest of the physics".
| gr-qc | electromagnetic mass where gravitational mass and other physical quantities originate from the electromagnetic field alone has a century long distinguished history in the introductory chapter we have divided this history into three broad categories classical quantum mechanical and general relativistic each of the categories has been described at a length to get the detailed picture of the physical background recent developments on repulsive electromagnetic mass models are of special interest in this introductory part of the thesis in this context we have also stated motivation of our work in the subsequent chapters we have presented our results and their physical significances it is concluded that the electromagnetic mass models which are the sources of purely electromagnetic origin have not only heuristic flavor associated with the conjecture of lorentz but even a physics having unconventional yet novel features characterizing their own contributions independent of the rest of the physics | [['electromagnetic', 'mass', 'where', 'gravitational', 'mass', 'and', 'other', 'physical', 'quantities', 'originate', 'from', 'the', 'electromagnetic', 'field', 'alone', 'has', 'a', 'century', 'long', 'distinguished', 'history', 'in', 'the', 'introductory', 'chapter', 'we', 'have', 'divided', 'this', 'history', 'into', 'three', 'broad', 'categories', 'classical', 'quantum', 'mechanical', 'and', 'general', 'relativistic', 'each', 'of', 'the', 'categories', 'has', 'been', 'described', 'at', 'a', 'length', 'to', 'get', 'the', 'detailed', 'picture', 'of', 'the', 'physical', 'background', 'recent', 'developments', 'on', 'repulsive', 'electromagnetic', 'mass', 'models', 'are', 'of', 'special', 'interest', 'in', 'this', 'introductory', 'part', 'of', 'the', 'thesis', 'in', 'this', 'context', 'we', 'have', 'also', 'stated', 'motivation', 'of', 'our', 'work', 'in', 'the', 'subsequent', 'chapters', 'we', 'have', 'presented', 'our', 'results', 'and', 'their', 'physical', 'significances', 'it', 'is', 'concluded', 'that', 'the', 'electromagnetic', 'mass', 'models', 'which', 'are', 'the', 'sources', 'of', 'purely', 'electromagnetic', 'origin', 'have', 'not', 'only', 'heuristic', 'flavor', 'associated', 'with', 'the', 'conjecture', 'of', 'lorentz', 'but', 'even', 'a', 'physics', 'having', 'unconventional', 'yet', 'novel', 'features', 'characterizing', 'their', 'own', 'contributions', 'independent', 'of', 'the', 'rest', 'of', 'the', 'physics']] | [-0.08742392798287894, 0.13334039512807755, -0.10612998972332256, 0.07896885139760687, -0.10235253059638764, -0.10675520421244909, -0.022574651471930683, 0.34560285489125225, -0.21583964443148895, -0.3206778507855897, 0.05962109212162653, -0.25815290623231213, -0.12117813048865395, 0.1910154110078725, -0.027364869148948708, -0.0108620339022899, 0.029756623590868468, 0.05829503227692299, -0.06090810332082312, -0.25776714290416725, 0.33901751305077327, 0.0653013114690013, 0.22133445883849384, 0.07273549308317613, 0.07026836748323026, -0.02383243421885512, -0.09731242192021848, 0.012555601157096995, -0.11509403282434505, 0.08816013111405678, 0.24252581422287395, 0.13122858754802627, 0.2718493432007931, -0.4243180497952208, -0.22978851742369147, 0.0801403925728959, 0.11873406847636844, 0.12702850679901578, -0.07502913948013196, -0.2923934519089557, 0.02740370821069322, -0.18026706735867806, -0.11976305151521857, -0.0153740462611077, 0.03854763339591414, -0.0012641494332284139, -0.1475004869437701, 0.07959122632372954, 0.0863064693198917, 0.05539865955093724, -0.07663153055457499, -0.1518552604003973, 0.01593194072877334, 0.13625911015520073, 0.11367796331713279, 0.026439076138509286, 0.1404347035127717, -0.1598205231145855, -0.1237831055249616, 0.41678910989415, 0.004658365118745211, -0.16336776144689302, 0.219475461070967, -0.16790277101225345, -0.18478414378242214, 0.11788993897750294, 0.18119058692576112, 0.08543040165130987, -0.19286565975002107, 0.10458135281614149, -0.05329236938190218, 0.11528849137028226, 0.033931898583997845, 0.10946448097151792, 0.30210437419245373, 0.14481231876070033, -0.07918507887704952, 0.0790273778197966, -0.018917668974609114, -0.08584544125541642, -0.3464524488505983, -0.1313569431753225, -0.15866044338012264, 0.09413472589939546, -0.018499421496951097, -0.1399185621093902, 0.442601818440331, 0.1642159745124691, 0.15565201388105648, 0.0003126117603765247, 0.29221664263388597, 0.09386229243466153, 0.06857855510709153, 0.033759712867715674, 0.32788196621097726, 0.14958201082835504, 0.1278084646816038, -0.1529250959063427, 0.024331268594077964, 0.04734419600257801] |
710.562 | Precision tests with Kl3 and Kl2 decays | The analysis made in 2000 indicated that the unitarity relation Vud^2 + Vus^2
+ Vub^2 = 1 might be broken at the 2.3 sigma level. At that time, however, Vus
was inferred from old experimental data. Since then, a great experimental and
theoretical effort has been invested to understand the source of that
discrepancy. Thanks to the new and improved measurements by BNL-E865, KLOE,
KTeV, ISTRA+ and NA48, the old Kl3 decay rate got shifted so that the new Vus
is now consistent with unitarity. On the theory side, much progress in the
lattice QCD has been made in order to tame the systematic uncertainties related
to the computation of the Kl3 form factors.
This joint progress allowed to assess the validity of the CKM unitarity
relation at the level of less than 1%. The key challenge of the future lattice
studies will be to simulate lighter pions in the region in which ChPT
predictions apply. Also interesting is the recent progress in accurately
computing the kaon and pion decay constants on the lattice, which then give us
access to Vus and Vud from the corresponding leptonic decays.
In addition, we discuss that the Kl3 and Kl2 decays offer the possibility to
test various scenarios of physics beyond Standard Model.
| hep-ph | the analysis made in 2000 indicated that the unitarity relation vud2 vus2 vub2 1 might be broken at the 23 sigma level at that time however vus was inferred from old experimental data since then a great experimental and theoretical effort has been invested to understand the source of that discrepancy thanks to the new and improved measurements by bnle865 kloe ktev istra and na48 the old kl3 decay rate got shifted so that the new vus is now consistent with unitarity on the theory side much progress in the lattice qcd has been made in order to tame the systematic uncertainties related to the computation of the kl3 form factors this joint progress allowed to assess the validity of the ckm unitarity relation at the level of less than 1 the key challenge of the future lattice studies will be to simulate lighter pions in the region in which chpt predictions apply also interesting is the recent progress in accurately computing the kaon and pion decay constants on the lattice which then give us access to vus and vud from the corresponding leptonic decays in addition we discuss that the kl3 and kl2 decays offer the possibility to test various scenarios of physics beyond standard model | [['the', 'analysis', 'made', 'in', '2000', 'indicated', 'that', 'the', 'unitarity', 'relation', 'vud2', 'vus2', 'vub2', '1', 'might', 'be', 'broken', 'at', 'the', '23', 'sigma', 'level', 'at', 'that', 'time', 'however', 'vus', 'was', 'inferred', 'from', 'old', 'experimental', 'data', 'since', 'then', 'a', 'great', 'experimental', 'and', 'theoretical', 'effort', 'has', 'been', 'invested', 'to', 'understand', 'the', 'source', 'of', 'that', 'discrepancy', 'thanks', 'to', 'the', 'new', 'and', 'improved', 'measurements', 'by', 'bnle865', 'kloe', 'ktev', 'istra', 'and', 'na48', 'the', 'old', 'kl3', 'decay', 'rate', 'got', 'shifted', 'so', 'that', 'the', 'new', 'vus', 'is', 'now', 'consistent', 'with', 'unitarity', 'on', 'the', 'theory', 'side', 'much', 'progress', 'in', 'the', 'lattice', 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'beyond', 'standard', 'model']] | [-0.014689677537211942, 0.153225101128441, -0.10511650567270303, 0.08790447029053428, -0.08280616671247362, -0.13091933137539252, 0.10772547728982687, 0.3068939955311193, -0.2229475843110504, -0.273364993637025, 0.08997694732551575, -0.32190388000732206, -0.03594874208883027, 0.18778871421495247, 0.0027695349406379, 0.12886228250195655, 0.08326638141109334, 0.017555936883037217, -0.10179375197652925, -0.24703961642288066, 0.2494367325192279, 0.10071283651871274, 0.2582315542484332, 0.1364406041029373, 0.00019732233618300607, -0.04243969135346332, -0.07115327103900304, -0.0563756402268115, -0.16467066602697758, 0.13996389897423234, 0.20464446109715076, 0.12187683174008693, 0.18793332291281092, -0.40311231426073574, -0.14441672126776067, 0.0929346184347051, 0.15415585084912786, 0.09621563272501212, -0.03901426908155174, -0.3177769134419516, 0.09683597923660255, -0.17606339788127348, -0.13030475588596385, -0.0843228861073185, 0.02409045280245299, 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710.5621 | Dominant next-to-leading order QCD corrections to Higgs plus three jet
production in vector-boson fusion | We present the calculation of the dominant next to leading order QCD
corrections to Higgs boson production in association with three jets via vector
boson fusion in the form of a NLO parton-level Monte Carlo program. QCD
corrections to integrated cross sections are modest, while the shapes of some
kinematical distributions change appreciably at NLO. Scale uncertainties are
shown to be reduced at NLO for the total cross section and for distributions.
We consider a central jet veto at the LHC and analyze the veto probability for
typical vector boson fusion cuts. Scale uncertainties of the veto probability
are sufficiently small at NLO for precise Higgs coupling measurements at the
LHC.
| hep-ph | we present the calculation of the dominant next to leading order qcd corrections to higgs boson production in association with three jets via vector boson fusion in the form of a nlo partonlevel monte carlo program qcd corrections to integrated cross sections are modest while the shapes of some kinematical distributions change appreciably at nlo scale uncertainties are shown to be reduced at nlo for the total cross section and for distributions we consider a central jet veto at the lhc and analyze the veto probability for typical vector boson fusion cuts scale uncertainties of the veto probability are sufficiently small at nlo for precise higgs coupling measurements at the lhc | [['we', 'present', 'the', 'calculation', 'of', 'the', 'dominant', 'next', 'to', 'leading', 'order', 'qcd', 'corrections', 'to', 'higgs', 'boson', 'production', 'in', 'association', 'with', 'three', 'jets', 'via', 'vector', 'boson', 'fusion', 'in', 'the', 'form', 'of', 'a', 'nlo', 'partonlevel', 'monte', 'carlo', 'program', 'qcd', 'corrections', 'to', 'integrated', 'cross', 'sections', 'are', 'modest', 'while', 'the', 'shapes', 'of', 'some', 'kinematical', 'distributions', 'change', 'appreciably', 'at', 'nlo', 'scale', 'uncertainties', 'are', 'shown', 'to', 'be', 'reduced', 'at', 'nlo', 'for', 'the', 'total', 'cross', 'section', 'and', 'for', 'distributions', 'we', 'consider', 'a', 'central', 'jet', 'veto', 'at', 'the', 'lhc', 'and', 'analyze', 'the', 'veto', 'probability', 'for', 'typical', 'vector', 'boson', 'fusion', 'cuts', 'scale', 'uncertainties', 'of', 'the', 'veto', 'probability', 'are', 'sufficiently', 'small', 'at', 'nlo', 'for', 'precise', 'higgs', 'coupling', 'measurements', 'at', 'the', 'lhc']] | [-0.04256047052855662, 0.2046903101685415, -0.10126445914392133, 0.18064851159867537, -0.027482068031892046, -0.08851551841357136, -0.003790618002263678, 0.3945217006881763, -0.19587464364211973, -0.26487453330543126, 0.01012357847706356, -0.33967944183428816, 0.10953059801328424, 0.1154549584665277, 0.08711910236056324, 0.17371844963447466, 0.1384470959147858, 0.001473110685175335, -0.069679592324941, -0.26223457227293234, 0.3294862914528396, 0.12164142768964306, 0.19182679620948997, 0.14387143785050055, 0.08953866496187139, 0.07422438063365114, -0.09388874029595959, -0.05789705671722422, -0.1222010298908965, 0.0656878225303985, 0.2609780605162414, 0.003406156034854887, 0.12302709615887415, -0.31359343062918466, -0.06170647586606703, 0.10604866919200029, 0.14280924043903412, 0.11180385597981513, -0.019375238378809112, -0.2542156393278961, 0.16751661056627495, -0.2947779553732625, -0.10201163269445165, -0.08619628473487054, -0.035940146207943696, -0.05793168477195961, -0.360141717736517, 0.05462112577279677, -0.1088781567911307, 0.008968500078546706, 0.06957839332680377, -0.1874218956475054, -0.0848900609028836, 0.011309092562343623, 0.11702011964233541, 0.06940847397718981, 0.223667612983132, -0.2508173340528801, -0.20751950490867366, 0.3887966912206229, -0.018881701131200267, -0.17231757035646755, 0.11653986434359942, -0.24470207611988257, -0.20738955187770697, 0.2333824820648711, 0.3008041127672973, 0.08820368408861042, -0.17317313125130493, 0.10972064850444964, 0.08603551027339858, 0.13126720294884936, 0.047786041586617894, 0.04443311104173395, 0.1905477933652766, 0.1862106965770861, 0.015133812578881646, 0.056283370917872735, -0.14469975158823906, -0.12803818734136183, -0.5134718173628187, -0.10681458641481292, -0.00897999747178039, 0.02217326336750039, -0.11087767787037527, -0.10658797331921009, 0.311284834256832, 0.13534170194520606, 0.2745923295549981, 0.0658711493350901, 0.34223261213576134, 0.1391756997122807, 0.12716027758260434, 0.06556794040853174, 0.34053803384351244, 0.15651236454377304, 0.08357980172149837, -0.21271864898704193, 0.05717001392229183, 0.09349958839834677] |
710.5622 | Rydberg excitation of Bose-Einstein condensates | Rydberg atoms provide a wide range of possibilities to tailor interactions in
a quantum gas. Here we report on Rydberg excitation of Bose-Einstein condensed
87Rb atoms. The Rydberg fraction was investigated for various excitation times
and temperatures above and below the condensation temperature. The excitation
is locally blocked by the van der Waals interaction between Rydberg atoms to a
density-dependent limit. Therefore the abrupt change of the thermal atomic
density distribution to the characteristic bimodal distribution upon
condensation could be observed in the Rydberg fraction. The observed features
are reproduced by a simulation based on local collective Rydberg excitations.
| quant-ph | rydberg atoms provide a wide range of possibilities to tailor interactions in a quantum gas here we report on rydberg excitation of boseeinstein condensed 87rb atoms the rydberg fraction was investigated for various excitation times and temperatures above and below the condensation temperature the excitation is locally blocked by the van der waals interaction between rydberg atoms to a densitydependent limit therefore the abrupt change of the thermal atomic density distribution to the characteristic bimodal distribution upon condensation could be observed in the rydberg fraction the observed features are reproduced by a simulation based on local collective rydberg excitations | [['rydberg', 'atoms', 'provide', 'a', 'wide', 'range', 'of', 'possibilities', 'to', 'tailor', 'interactions', 'in', 'a', 'quantum', 'gas', 'here', 'we', 'report', 'on', 'rydberg', 'excitation', 'of', 'boseeinstein', 'condensed', '87rb', 'atoms', 'the', 'rydberg', 'fraction', 'was', 'investigated', 'for', 'various', 'excitation', 'times', 'and', 'temperatures', 'above', 'and', 'below', 'the', 'condensation', 'temperature', 'the', 'excitation', 'is', 'locally', 'blocked', 'by', 'the', 'van', 'der', 'waals', 'interaction', 'between', 'rydberg', 'atoms', 'to', 'a', 'densitydependent', 'limit', 'therefore', 'the', 'abrupt', 'change', 'of', 'the', 'thermal', 'atomic', 'density', 'distribution', 'to', 'the', 'characteristic', 'bimodal', 'distribution', 'upon', 'condensation', 'could', 'be', 'observed', 'in', 'the', 'rydberg', 'fraction', 'the', 'observed', 'features', 'are', 'reproduced', 'by', 'a', 'simulation', 'based', 'on', 'local', 'collective', 'rydberg', 'excitations']] | [-0.11687667450615948, 0.3110414970045288, -0.052911394495032536, 0.024095901613819855, 0.06846428406660003, -0.12725610104436524, 0.099873416774878, 0.37838092921395794, -0.2140440929662248, -0.29703374950196404, -0.10448320468915909, -0.29384104070027894, -0.028910885179283644, 0.15101612487694982, 0.10017587875740395, 0.025825028428854892, -0.0025579303425426283, -0.04342322859641475, -0.03090723082799502, -0.21087823501985634, 0.299418452882556, 0.06873261725713471, 0.2840431810996373, 0.15294459199525812, 0.07265536566829366, -0.0372231990343543, 0.13486365171036485, -0.05704824047896898, -0.18567571260336072, 0.08642332680109474, 0.26030210788053637, -0.05213068262909097, 0.24444489245952078, -0.4621981303536832, -0.22990961324051964, 0.0571024108000777, 0.1934002656983494, 0.2169945942698931, -0.06157671731680331, -0.34382532369533575, -0.07903932890092785, -0.20106073297710733, -0.13791121670393028, -0.13206259117019598, 0.06427677668104267, 0.09983788738309433, -0.23289003617346588, 0.11368852787923933, 0.04448279273940833, 0.10074217825413051, -0.10095136851599121, -0.06831689350626836, 0.012061610177037014, 0.0023570480436613463, -0.09336712865412912, -0.020322367477211913, 0.28309739488788477, -0.13450212380613644, -0.039222637163192936, 0.39394858456451937, -0.1392544141189769, -0.027943360471082004, 0.23290838555414042, -0.14493839473774037, -0.0424996764067504, 0.1900676693061762, 0.12363655163584315, 0.05718186317538523, -0.1061267430677709, 0.044133315482553136, -0.03894931869698933, 0.22301637757371998, 0.13333443919610646, 0.09927254278833668, 0.28982990448635937, 0.1366356996857006, 0.002515035549724343, 0.14233510262412818, -0.10712948101666765, -0.13472459586619429, -0.20170871532907841, -0.12274087419394743, -0.2606347550266432, 0.0644243344725721, -0.008733887669002412, -0.15105255431203982, 0.37031563690327335, 0.10918089239434763, 0.22916191573151284, -0.05656229222494394, 0.2676471443588121, 0.13925972951322116, 0.01442339445342018, -0.01372464436266308, 0.26186299496189214, 0.18950286229620827, 0.05324999924814987, -0.3311844572114448, 0.0552890699455571, 0.002313063374127854] |
710.5623 | Experimental determination of the Berry phase in a superconducting
charge pump | We present the first measurements of the Berry phase in a superconducting
Cooper pair pump. A fixed amount of Berry phase is accumulated to the
quantum-mechanical ground state in each adiabatic pumping cycle, which is
determined by measuring the charge passing through the device. The dynamic and
geometric phases are identified and measured quantitatively from their
different response when pumping in opposite directions. Our observations, in
particular, the dependencies of the dynamic and geometric effects on the
superconducting phase bias across the pump, agree with the basic theoretical
model of coherent Cooper pair pumping.
| cond-mat.supr-con cond-mat.mes-hall | we present the first measurements of the berry phase in a superconducting cooper pair pump a fixed amount of berry phase is accumulated to the quantummechanical ground state in each adiabatic pumping cycle which is determined by measuring the charge passing through the device the dynamic and geometric phases are identified and measured quantitatively from their different response when pumping in opposite directions our observations in particular the dependencies of the dynamic and geometric effects on the superconducting phase bias across the pump agree with the basic theoretical model of coherent cooper pair pumping | [['we', 'present', 'the', 'first', 'measurements', 'of', 'the', 'berry', 'phase', 'in', 'a', 'superconducting', 'cooper', 'pair', 'pump', 'a', 'fixed', 'amount', 'of', 'berry', 'phase', 'is', 'accumulated', 'to', 'the', 'quantummechanical', 'ground', 'state', 'in', 'each', 'adiabatic', 'pumping', 'cycle', 'which', 'is', 'determined', 'by', 'measuring', 'the', 'charge', 'passing', 'through', 'the', 'device', 'the', 'dynamic', 'and', 'geometric', 'phases', 'are', 'identified', 'and', 'measured', 'quantitatively', 'from', 'their', 'different', 'response', 'when', 'pumping', 'in', 'opposite', 'directions', 'our', 'observations', 'in', 'particular', 'the', 'dependencies', 'of', 'the', 'dynamic', 'and', 'geometric', 'effects', 'on', 'the', 'superconducting', 'phase', 'bias', 'across', 'the', 'pump', 'agree', 'with', 'the', 'basic', 'theoretical', 'model', 'of', 'coherent', 'cooper', 'pair', 'pumping']] | [-0.1996403185878583, 0.23559506254349935, -0.0844420713392344, 0.0016895350331361306, -0.014843796763787085, -0.12122160064532085, 0.10670660027956709, 0.3732210902219757, -0.2729901083784693, -0.30120057562128344, -0.004763317388541838, -0.29296542882443743, -0.08136886281476534, 0.1662415500130861, 0.001060487380489073, 0.04522957293220122, -0.011957006865834936, -0.02072822550767438, -0.08436810798903412, -0.1749514527618885, 0.3027175937561279, -0.006095657234099951, 0.338789657025816, 0.05340727900422396, 0.08266189715706129, 0.01967012782660412, 0.00823131775324966, -0.0010886891606323263, -0.12143056619010786, 0.03364253797608011, 0.235937729933636, -0.012193037647793585, 0.1754699655699524, -0.45839144162675166, -0.2068680168248396, 0.06978318381539368, 0.09532821120507272, 0.15439513913186098, -0.033323858484397936, -0.31652724441695723, 0.017595013910706375, -0.13277186366154792, -0.05724825758605878, -0.05362553697356835, 0.018212954796097698, 0.03767892489447556, -0.218273053359379, 0.05970948479792222, 0.04332804473543025, 0.07123455623452096, -0.054100113663267585, -0.05728795691492393, -0.09135074716834153, 0.11910906256123277, 0.017484780662306684, 0.03748167413683172, 0.1629462591570584, -0.12618619119352165, -0.13422806003190418, 0.3244859931614012, -0.06459459947283439, -0.12147125664775191, 0.10153301363374959, -0.17855370331798961, -0.03494912216519105, 0.1505812910444876, 0.09991629807119991, 0.0942082865252853, -0.11435239836700543, -0.013093853732843467, -0.005157198945179265, 0.13861560084648986, 0.03632172963463087, 0.07503662621503339, 0.26923264474905234, 0.1510242733725426, 0.033174134597697476, 0.160438477486481, -0.13853623073280572, -0.13475407421232222, -0.3403540812432766, -0.12256861678225563, -0.23381041337369365, 0.013418893287691505, -0.06609111818676304, -0.12025545267982686, 0.4776605309799631, 0.16107757755510627, 0.20574284948289712, -0.05326088492299103, 0.34479449697314424, 0.14357665355039878, 0.0323312870273862, 0.01790108577660384, 0.30536545990678937, 0.17367446391615382, 0.1173608765461819, -0.3377439584657352, 0.0811066046416601, 0.008120214626034523] |
710.5624 | Deep-space laser-ranging missions ASTROD (Astrodynamical Space Test of
Relativity using Optical Devices) and ASTROD I for astrodynamics and
astrometry | Deep-space laser ranging will be ideal for testing relativistic gravity, and
mapping the solar-system to an unprecedented accuracy. ASTROD (Astrodynamical
Space Test of Relativity using Optical Devices) and ASTROD I are such missions.
ASTROD I is a mission with a single spacecraft; it is the first step of ASTROD
with 3 spacecraft. In this talk, after a brief review of ASTROD and ASTROD I,
we concentrate of the precision of solar astrodynamics that can be achieved
together with implications on astrometry and reference frame transformations.
The precision planetary ephemeris derived from these missions together with
second post-Newtonian test of relativistic gravity will serve as a foundation
for future precise astrometry observations. Relativistic frameworks are
discussed from these considerations.
| astro-ph gr-qc physics.space-ph | deepspace laser ranging will be ideal for testing relativistic gravity and mapping the solarsystem to an unprecedented accuracy astrod astrodynamical space test of relativity using optical devices and astrod i are such missions astrod i is a mission with a single spacecraft it is the first step of astrod with 3 spacecraft in this talk after a brief review of astrod and astrod i we concentrate of the precision of solar astrodynamics that can be achieved together with implications on astrometry and reference frame transformations the precision planetary ephemeris derived from these missions together with second postnewtonian test of relativistic gravity will serve as a foundation for future precise astrometry observations relativistic frameworks are discussed from these considerations | [['deepspace', 'laser', 'ranging', 'will', 'be', 'ideal', 'for', 'testing', 'relativistic', 'gravity', 'and', 'mapping', 'the', 'solarsystem', 'to', 'an', 'unprecedented', 'accuracy', 'astrod', 'astrodynamical', 'space', 'test', 'of', 'relativity', 'using', 'optical', 'devices', 'and', 'astrod', 'i', 'are', 'such', 'missions', 'astrod', 'i', 'is', 'a', 'mission', 'with', 'a', 'single', 'spacecraft', 'it', 'is', 'the', 'first', 'step', 'of', 'astrod', 'with', '3', 'spacecraft', 'in', 'this', 'talk', 'after', 'a', 'brief', 'review', 'of', 'astrod', 'and', 'astrod', 'i', 'we', 'concentrate', 'of', 'the', 'precision', 'of', 'solar', 'astrodynamics', 'that', 'can', 'be', 'achieved', 'together', 'with', 'implications', 'on', 'astrometry', 'and', 'reference', 'frame', 'transformations', 'the', 'precision', 'planetary', 'ephemeris', 'derived', 'from', 'these', 'missions', 'together', 'with', 'second', 'postnewtonian', 'test', 'of', 'relativistic', 'gravity', 'will', 'serve', 'as', 'a', 'foundation', 'for', 'future', 'precise', 'astrometry', 'observations', 'relativistic', 'frameworks', 'are', 'discussed', 'from', 'these', 'considerations']] | [-0.10906239783675489, 0.15168606381879635, -0.08098838816671158, 0.0146057552833631, -0.12146420768162204, -0.15153371970469165, -0.00817867589451499, 0.35679804218806704, -0.17902261686069354, -0.3597919626232489, 0.14139113946071968, -0.2887687919724543, -0.08312495485918944, 0.2879098308848817, -0.10607369087825892, 0.07969113811455919, 0.1491762202971031, -0.022130331071882933, -0.10943851293798662, -0.2157749212110194, 0.24930632635319638, 0.18808498973090013, 0.12514937855303288, -0.07099642050136828, 0.10216223096111947, -0.04622418314052777, -0.07609456818219337, 0.024213957706598517, -0.1495595732625496, 0.1263761554363231, 0.274138526892106, 0.22525349886440751, 0.2551341063295633, -0.45236200851909186, -0.20271220383376387, -0.039987462485935224, 0.04997107965114005, 0.08476114223348134, -0.051633778042988694, -0.351111987116352, -0.006630275097095518, -0.22013426232704167, -0.17649704774916153, -0.0567965413664736, 0.03657427359909072, 0.07884378393449015, -0.23439507269383392, -0.04286825525282361, 0.004190185959687677, 0.12384836992911868, -0.11389838519145565, -0.09445120640379234, 0.044639347166501746, 0.11120904189084609, 0.009223318662715413, 0.08661926515258343, 0.09632646692995676, -0.06699701280814548, -0.12723889242131578, 0.5115437316313639, -0.08715996885735353, -0.08244896047133005, 0.15186714621801403, -0.21959287628247323, -0.1827282033548927, 0.015166092162825546, 0.2037077802470175, 0.11795381653927646, -0.15034907715300383, 0.06750642499389221, 0.07848184116153141, 0.15082653353022316, 0.06649574296059624, 0.08261432639575737, 0.3530597725204366, 0.21807497487229816, 0.049239155939006705, 0.005365776574886325, -0.19537100239491123, -0.0013108750394845413, -0.38761211855147604, -0.18819916242204796, -0.13892318358865835, 0.05145320383500371, -0.06712793180140887, -0.017627253595708034, 0.3411465358577069, 0.20869388681899567, 0.05174197375742813, 0.010255961015946785, 0.33765857747235034, 0.04105514047126743, -0.00654044954137782, -0.003480821088256346, 0.39774090162936154, 0.05376938833081621, 0.10798115746544326, -0.1474320668062704, -0.034758017568107126, 0.05828463838246288] |
710.5625 | A simple computational method for the identification of
disease-associated loci in complex, incomplete pedigrees | We present an approach, called the "Shadow Method," for the identification of
disease loci from dense genetic marker maps in complex, potentially incomplete
pedigrees. "Shadow" is a simple method based on an analysis of the patterns of
obligate meiotic recombination events in genotypic data. This method can be
applied to any high density marker map and was specifically designed to exploit
the fact that extremely dense marker maps are becoming more readily available.
We also describe how to interpret and associate meaningful P-Values to the
results. Shadow has significant advantages over traditional parametric linkage
analysis methods in that it can be readily applied even in cases in which the
topology of a pedigree or pedigrees can only be partially determined. In
addition, Shadow is robust to variability in a range of parameters and in
particular does not require prior knowledge of mode of inheritance, penetrance
or clinical misdiagnosis rate. Shadow can be used for any SNP data, but is
especially effective when applied to dense samplings. Our primary example uses
data from Affymetrix 100k SNPChip samples in which we illustrate our approach
by analyzing simulated data as well as genome-wide SNP data from two pedigrees
with inherited forms of kidney failure, one of which is compared with a typical
LOD score analysis.
| q-bio.GN q-bio.QM | we present an approach called the shadow method for the identification of disease loci from dense genetic marker maps in complex potentially incomplete pedigrees shadow is a simple method based on an analysis of the patterns of obligate meiotic recombination events in genotypic data this method can be applied to any high density marker map and was specifically designed to exploit the fact that extremely dense marker maps are becoming more readily available we also describe how to interpret and associate meaningful pvalues to the results shadow has significant advantages over traditional parametric linkage analysis methods in that it can be readily applied even in cases in which the topology of a pedigree or pedigrees can only be partially determined in addition shadow is robust to variability in a range of parameters and in particular does not require prior knowledge of mode of inheritance penetrance or clinical misdiagnosis rate shadow can be used for any snp data but is especially effective when applied to dense samplings our primary example uses data from affymetrix 100k snpchip samples in which we illustrate our approach by analyzing simulated data as well as genomewide snp data from two pedigrees with inherited forms of kidney failure one of which is compared with a typical lod score analysis | [['we', 'present', 'an', 'approach', 'called', 'the', 'shadow', 'method', 'for', 'the', 'identification', 'of', 'disease', 'loci', 'from', 'dense', 'genetic', 'marker', 'maps', 'in', 'complex', 'potentially', 'incomplete', 'pedigrees', 'shadow', 'is', 'a', 'simple', 'method', 'based', 'on', 'an', 'analysis', 'of', 'the', 'patterns', 'of', 'obligate', 'meiotic', 'recombination', 'events', 'in', 'genotypic', 'data', 'this', 'method', 'can', 'be', 'applied', 'to', 'any', 'high', 'density', 'marker', 'map', 'and', 'was', 'specifically', 'designed', 'to', 'exploit', 'the', 'fact', 'that', 'extremely', 'dense', 'marker', 'maps', 'are', 'becoming', 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710.5626 | Control of test particle transport in a turbulent electrostatic model of
the Scrape Off Layer | The ${\bm E}\times{\bm B}$ drift motion of charged test particle dynamics in
the Scrape Off Layer (SOL)is analyzed to investigate a transport control
strategy based on Hamiltonian dynamics. We model SOL turbulence using a 2D
non-linear fluid code based on interchange instability which was found to
exhibit intermittent dynamics of the particle flux. The effect of a small and
appropriate modification of the turbulent electric potential is studied with
respect to the chaotic diffusion of test particle dynamics. Over a significant
range in the magnitude of the turbulent electrostatic field, a three-fold
reduction of the test particle diffusion coefficient is achieved.
| physics.plasm-ph math.DS nlin.CD | the bm etimesbm b drift motion of charged test particle dynamics in the scrape off layer solis analyzed to investigate a transport control strategy based on hamiltonian dynamics we model sol turbulence using a 2d nonlinear fluid code based on interchange instability which was found to exhibit intermittent dynamics of the particle flux the effect of a small and appropriate modification of the turbulent electric potential is studied with respect to the chaotic diffusion of test particle dynamics over a significant range in the magnitude of the turbulent electrostatic field a threefold reduction of the test particle diffusion coefficient is achieved | [['the', 'bm', 'etimesbm', 'b', 'drift', 'motion', 'of', 'charged', 'test', 'particle', 'dynamics', 'in', 'the', 'scrape', 'off', 'layer', 'solis', 'analyzed', 'to', 'investigate', 'a', 'transport', 'control', 'strategy', 'based', 'on', 'hamiltonian', 'dynamics', 'we', 'model', 'sol', 'turbulence', 'using', 'a', '2d', 'nonlinear', 'fluid', 'code', 'based', 'on', 'interchange', 'instability', 'which', 'was', 'found', 'to', 'exhibit', 'intermittent', 'dynamics', 'of', 'the', 'particle', 'flux', 'the', 'effect', 'of', 'a', 'small', 'and', 'appropriate', 'modification', 'of', 'the', 'turbulent', 'electric', 'potential', 'is', 'studied', 'with', 'respect', 'to', 'the', 'chaotic', 'diffusion', 'of', 'test', 'particle', 'dynamics', 'over', 'a', 'significant', 'range', 'in', 'the', 'magnitude', 'of', 'the', 'turbulent', 'electrostatic', 'field', 'a', 'threefold', 'reduction', 'of', 'the', 'test', 'particle', 'diffusion', 'coefficient', 'is', 'achieved']] | [-0.149508297102293, 0.159111523386091, -0.08299282396212221, 0.04325555133633316, -0.010845135115087032, -0.12455213803332299, -0.023212360348552466, 0.3090656146034598, -0.28613888293504713, -0.3068946306203725, 0.040940670541021976, -0.22200443375390022, -0.10419107187539339, 0.17728699742117895, 0.00743217677809298, 0.07020525086671114, 0.05122543609002605, 0.0009015456959605217, 0.014917075771372766, -0.17097171083092688, 0.26274767043069003, 0.12388910118490458, 0.309360151514411, 0.025700615169480443, 0.14496776883024723, -0.031433275467716154, -0.03812362472526729, 0.057924870466813445, -0.14984015244990587, 0.048086172854527834, 0.09400957281002775, -0.018808917701244356, 0.2329550346080214, -0.4483100298512727, -0.24855688895098865, 0.030951274521648885, 0.14227280190447344, 0.09661674623261206, -0.08926704303361475, -0.2522808747878298, 0.03967046559788287, -0.15791680910158903, -0.12921868255361915, -0.024683225848712027, 0.049541193261975425, 0.058749565342441204, -0.3022643044311553, 0.1086555801006034, 0.05962771743535995, 0.09890421410091221, -0.08575368507299572, -0.05652917628642171, -0.051026075817644595, 0.06308984374627472, 0.07498764386749826, 0.04496517942752689, 0.231022044243291, -0.14986139743414242, -0.09588178330566734, 0.403507910259068, -0.11542052431264892, -0.2525989297963679, 0.19067924132104963, -0.17427091056481003, -0.025853861356154084, 0.1935581780038774, 0.23666857194155455, 0.10446641384158284, -0.147504596253857, 0.07060831906215753, -0.030591093418188393, 0.15144014114746823, 0.0370090058259666, -0.057670702459290624, 0.185964866746217, 0.2319079754082486, 0.045123373665846886, 0.1311039197817445, -0.15914173423778266, -0.1698696752311662, -0.25917724672704934, -0.15672157751396298, -0.1557561719068326, 0.07836416576756164, -0.06992375408983208, -0.19250388579326683, 0.427663826784119, 0.15697997824288903, 0.15268496359232814, -0.042800974707351995, 0.2527734135929495, 0.11449544291943312, 0.03053304772649426, 0.07465054290601984, 0.27522496971301735, 0.15587599190417678, 0.141321418316802, -0.3045761656109244, 0.03174031728412956, 0.06620570604689419] |
710.5627 | On the ambiguity of the interfering resonances parameters determination | In this paper the interfering resonances parameters determination ambiguity
is considered. It is shown that there are two solutions for two fixed width
resonances. Analytical relation between different solutions is derived. Numeric
experiments for fixed width three and four resonances, and for model
energy-dependent width two resonances confirm ambiguity of the resonances
parameters determination.
| hep-ph hep-ex physics.data-an | in this paper the interfering resonances parameters determination ambiguity is considered it is shown that there are two solutions for two fixed width resonances analytical relation between different solutions is derived numeric experiments for fixed width three and four resonances and for model energydependent width two resonances confirm ambiguity of the resonances parameters determination | [['in', 'this', 'paper', 'the', 'interfering', 'resonances', 'parameters', 'determination', 'ambiguity', 'is', 'considered', 'it', 'is', 'shown', 'that', 'there', 'are', 'two', 'solutions', 'for', 'two', 'fixed', 'width', 'resonances', 'analytical', 'relation', 'between', 'different', 'solutions', 'is', 'derived', 'numeric', 'experiments', 'for', 'fixed', 'width', 'three', 'and', 'four', 'resonances', 'and', 'for', 'model', 'energydependent', 'width', 'two', 'resonances', 'confirm', 'ambiguity', 'of', 'the', 'resonances', 'parameters', 'determination']] | [-0.1996166019816883, 0.11752232153796488, -0.03741831660132717, 0.11632632549110523, -0.07779801251470214, -0.18924687558750589, 0.01945789581104354, 0.40975995568765533, -0.1886136141019287, -0.34544505565254774, 0.03772212531098544, -0.3153889862889493, -0.12292991895918493, 0.1721978785633972, 0.07568400722272971, 0.11352407064771762, 0.13116256465393775, -0.011246520292910712, -0.04085280197344859, -0.1179756593235113, 0.35351421533980304, -0.0657919994900348, 0.2292229656337036, 0.12770964702832754, 0.05044499583568217, -0.025832996436360257, -0.033413334715145605, -0.035979850562634294, -0.2043963148043312, 0.040924815797350474, 0.24843352281109052, 0.061981991200742347, 0.1930758380934734, -0.28496348999302695, -0.17939678427797776, 0.051605363514412333, 0.2570175954433917, 0.1231506548701199, -0.03095724147365049, -0.25865259190538414, 0.062039543348537, -0.09283520698685337, -0.16539876992572788, -0.02176158102574172, 0.09314508125599888, -0.0277106616973739, -0.32699980045220367, 0.0462857400222371, 0.009065699823959559, 0.0585267657276105, -0.0947259039428361, -0.2047418965095723, 0.03806824233658888, 0.13683446220777654, 0.08151020013287456, -0.07872352483509867, 0.07505048877943342, -0.08354603483220907, -0.13604760873648855, 0.34356987110718534, -0.06441565082167033, -0.3147477165416435, 0.1591335505341973, -0.1368497801185758, -0.08973481083564737, 0.1661389335748498, 0.08960160794150498, 0.07833246453837664, -0.16487830839361306, 0.04399459269027122, -0.033752084330276204, 0.19096786187340817, 0.15893361667878236, 0.06653497034373383, 0.1890813362163802, 0.11262135461179747, -0.011633104558482214, 0.055502266726560064, -0.07149540681253981, -0.12566892609552102, -0.32781219289258673, -0.047295000585209995, -0.11031706243132551, -0.08571307795743148, -0.07406475093955157, -0.1334198359933604, 0.4135818864494838, 0.12154475582280645, 0.25415870749081176, 0.029017639104966766, 0.30132404266408197, 0.16997007535839523, 0.027246662794991775, 0.004194845040156333, 0.32699885231408254, 0.1576162409554753, -0.014044048023168687, -0.2741625074305813, 0.024569729575887322, 0.0033838841374273653] |
710.5628 | Historic mass loss from the RS Ophiuchi system | Dust has been detected in the recurrent nova RS Ophiuchi on several
occassions. I model the historical mid-infrared photometry and a recent Spitzer
Space Telescope spectrum taken only half a year after the 2006 eruption. The
dust envelope is little affected by the eruptions. I show evidence that the
eruptions and possibly the red giant wind of RS Oph may sculpt the interstellar
medium, and show similar evidence for the recurrent dwarf nova T Pyxidis.
| astro-ph | dust has been detected in the recurrent nova rs ophiuchi on several occassions i model the historical midinfrared photometry and a recent spitzer space telescope spectrum taken only half a year after the 2006 eruption the dust envelope is little affected by the eruptions i show evidence that the eruptions and possibly the red giant wind of rs oph may sculpt the interstellar medium and show similar evidence for the recurrent dwarf nova t pyxidis | [['dust', 'has', 'been', 'detected', 'in', 'the', 'recurrent', 'nova', 'rs', 'ophiuchi', 'on', 'several', 'occassions', 'i', 'model', 'the', 'historical', 'midinfrared', 'photometry', 'and', 'a', 'recent', 'spitzer', 'space', 'telescope', 'spectrum', 'taken', 'only', 'half', 'a', 'year', 'after', 'the', '2006', 'eruption', 'the', 'dust', 'envelope', 'is', 'little', 'affected', 'by', 'the', 'eruptions', 'i', 'show', 'evidence', 'that', 'the', 'eruptions', 'and', 'possibly', 'the', 'red', 'giant', 'wind', 'of', 'rs', 'oph', 'may', 'sculpt', 'the', 'interstellar', 'medium', 'and', 'show', 'similar', 'evidence', 'for', 'the', 'recurrent', 'dwarf', 'nova', 't', 'pyxidis']] | [-0.05949836116397401, 0.1220142553510094, -0.06767766017819175, 0.09795183135429397, -0.12650094148577065, -0.12323908418152682, 0.07728895516059286, 0.4517553238248503, -0.1684554626715269, -0.26592476926492276, 0.11755384002793329, -0.29879498525170256, -0.17003497317735408, 0.15753469220047966, -0.09635088871535216, -0.047476446885313536, 0.19934556736434633, -0.10455641772195294, -0.018915415109084868, -0.32508316875208876, 0.21680264824661552, 0.07956357991851463, 0.091421454767319, -0.0810212961624603, 0.06916500412390215, -0.1497146092493691, -0.13521575614356915, -0.13331439217113625, -0.11282280150762007, -0.04940773594520382, 0.11418337547975416, 0.15089571412111558, 0.21508857772710757, -0.4011952261616652, -0.33705366882369725, 0.037689834971584985, 0.18399376396995945, -0.05271350341924542, -0.017033934786701826, -0.2895439935193674, 0.016058042475550965, -0.20892784453148172, -0.15402741542060835, 0.11823326414702712, 0.12254797313614069, 0.006120036324687503, -0.23132141673389972, 0.0429341427767901, 0.05912627426378832, 0.1259417408775236, -0.1723175673065959, -0.11743951527200439, -0.10788252936027995, 0.037272572001391974, 0.0613882174743717, 0.11238946056471684, 0.09651165295115395, -0.1192443813574878, 0.017861874509804154, 0.3417349412684908, -0.11669065364686823, 0.1251157903540376, 0.2514355051004001, -0.2268159609678126, -0.20786616298042843, 0.17535938452174132, 0.1135644292635088, 0.08905850218709659, -0.17300769880514694, 0.032422835722320235, -0.091498211491853, 0.174532544169877, 0.03971349194054366, 0.05893173395353999, 0.3109180905252091, 0.15084164315280882, -0.06332588418563073, 0.09320156407114621, -0.32377012808039485, -0.0669004406679321, -0.2402343554925677, -0.12625480886246707, -0.15104424120304552, 0.12098868951402805, -0.10957042215886759, -0.09689490879709656, 0.36151122162118554, 0.05155619025714947, 0.2333463429146119, -0.05621193730857576, 0.30375482046322244, 0.034740822062500426, 0.11723509284894208, 0.1890927009580254, 0.3452839223365929, 0.14876887617897042, 0.23727613388611055, -0.22732683963919487, 0.13404396888202158, 0.06306541814292604] |
710.5629 | Mechanical Measurements of the ALMA Prototype Antennas | The specifications of the Atacama Large Millimeter Array (ALMA) have placed
stringent requirements on the mechanical performance of its antennas. As part
of the evaluation process of the VertexRSI and Alcatel EIE Consortium (AEC)
ALMA prototype antennas, measurements of the path length, thermal, and azimuth
bearing performance were made under a variety of weather conditions and
observing modes. The results of mechanical measurements, reported here, are
compared to the antenna specifications.
| astro-ph | the specifications of the atacama large millimeter array alma have placed stringent requirements on the mechanical performance of its antennas as part of the evaluation process of the vertexrsi and alcatel eie consortium aec alma prototype antennas measurements of the path length thermal and azimuth bearing performance were made under a variety of weather conditions and observing modes the results of mechanical measurements reported here are compared to the antenna specifications | [['the', 'specifications', 'of', 'the', 'atacama', 'large', 'millimeter', 'array', 'alma', 'have', 'placed', 'stringent', 'requirements', 'on', 'the', 'mechanical', 'performance', 'of', 'its', 'antennas', 'as', 'part', 'of', 'the', 'evaluation', 'process', 'of', 'the', 'vertexrsi', 'and', 'alcatel', 'eie', 'consortium', 'aec', 'alma', 'prototype', 'antennas', 'measurements', 'of', 'the', 'path', 'length', 'thermal', 'and', 'azimuth', 'bearing', 'performance', 'were', 'made', 'under', 'a', 'variety', 'of', 'weather', 'conditions', 'and', 'observing', 'modes', 'the', 'results', 'of', 'mechanical', 'measurements', 'reported', 'here', 'are', 'compared', 'to', 'the', 'antenna', 'specifications']] | [-0.2102047929175846, 0.09671662046668539, 0.001756959351832452, -0.06885568924704073, -0.08679976659502996, -0.10897537025258593, 0.01334271956221673, 0.4093167722441148, -0.14737904808767463, -0.3337756851013156, 0.17540565423289503, -0.2796014005291289, -0.08387819619552381, 0.24018685348277938, -0.01323678817573017, 0.11122389112015431, 0.14817773436020681, -0.05893245081592729, -0.011585421333818333, -0.19936638056853975, 0.2140453269408233, 0.20156857683120863, 0.30783058075652714, 0.022804711040183633, 0.10354366544229181, -0.09819998289795889, -0.04769700189269539, 0.015526147950710594, -0.12296723271213958, 0.03904975343333638, 0.30596199062099494, 0.1450811879965814, 0.2007610716830021, -0.45584524001764215, -0.16284998469864545, 0.015707025385421257, 0.023429740834441305, 0.007109499718669964, 0.02561113982549126, -0.35111441708885244, 0.05838715933614235, -0.1596345811461409, -0.14134546639262766, 0.05086429318602102, -0.015430645153358362, 0.06764971497941061, -0.2733087672487549, -0.078373522605693, -0.016472657973729612, 0.12915022410722315, -0.06794246508355212, -0.1833109137588653, -0.009410443121864311, 0.14603656331630613, -0.0016206346213500408, -0.020034836085540228, 0.17092019473404987, -0.12421136993266967, -0.10393763093304807, 0.3570241663888421, -0.05360770109447016, -0.15317664570107625, 0.2014834342011507, -0.18694959008607312, -0.16888974007704985, 0.13052306783156117, 0.20897641008638818, 0.05078753305977021, -0.1510761787008116, 0.04969751695592793, -0.003298870220348455, 0.22143977560926284, 0.11981522074590127, 0.15537735813067874, 0.2373913258506682, 0.23944026499014834, 0.02983435892931901, 0.1896030522606241, -0.20780257053632775, -0.019487588220964306, -0.25732218101620674, -0.13854722511293233, -0.2137762013066938, 0.05120482661194452, -0.09577173305666108, -0.10453577442229658, 0.35863343200416886, 0.1486098060208926, 0.08987072247174988, 0.1046863083417217, 0.3700094765821553, 0.011434012590367616, 0.12366469001289511, -0.03810177920251221, 0.2940442879292844, 0.12055070598211572, 0.14383811224926857, -0.21254122651695018, 0.06205580035980413, -0.0712495312175673] |
710.563 | g factor of Li-like ions with nonzero nuclear spin | The fully relativistic theory of the g factor of Li-like ions with nonzero
nuclear spin is considered for the (1s)^2 2s state. The magnetic-dipole
hyperfine-interaction correction to the atomic g factor is calculated including
the one-electron contributions as well as the interelectronic-interaction
effects of order 1/Z. This correction is combined with the
interelectronic-interaction, QED, nuclear recoil, and nuclear size corrections
to obtain high-precision theoretical values for the g factor of Li-like ions
with nonzero nuclear spin. The results can be used for a precise determination
of nuclear magnetic moments from g factor experiments.
| physics.atom-ph | the fully relativistic theory of the g factor of lilike ions with nonzero nuclear spin is considered for the 1s2 2s state the magneticdipole hyperfineinteraction correction to the atomic g factor is calculated including the oneelectron contributions as well as the interelectronicinteraction effects of order 1z this correction is combined with the interelectronicinteraction qed nuclear recoil and nuclear size corrections to obtain highprecision theoretical values for the g factor of lilike ions with nonzero nuclear spin the results can be used for a precise determination of nuclear magnetic moments from g factor experiments | [['the', 'fully', 'relativistic', 'theory', 'of', 'the', 'g', 'factor', 'of', 'lilike', 'ions', 'with', 'nonzero', 'nuclear', 'spin', 'is', 'considered', 'for', 'the', '1s2', '2s', 'state', 'the', 'magneticdipole', 'hyperfineinteraction', 'correction', 'to', 'the', 'atomic', 'g', 'factor', 'is', 'calculated', 'including', 'the', 'oneelectron', 'contributions', 'as', 'well', 'as', 'the', 'interelectronicinteraction', 'effects', 'of', 'order', '1z', 'this', 'correction', 'is', 'combined', 'with', 'the', 'interelectronicinteraction', 'qed', 'nuclear', 'recoil', 'and', 'nuclear', 'size', 'corrections', 'to', 'obtain', 'highprecision', 'theoretical', 'values', 'for', 'the', 'g', 'factor', 'of', 'lilike', 'ions', 'with', 'nonzero', 'nuclear', 'spin', 'the', 'results', 'can', 'be', 'used', 'for', 'a', 'precise', 'determination', 'of', 'nuclear', 'magnetic', 'moments', 'from', 'g', 'factor', 'experiments']] | [-0.0407707638653886, 0.2042798682358926, 0.010500235452681132, 0.05085083760533725, 0.015672491180062618, -0.07753220483478483, -0.002515194599729274, 0.350998156197855, -0.19390649747346406, -0.3188483116201773, -0.011798828652978915, -0.32429429890749895, 0.05316118694558416, 0.1531424435632526, 0.09217033892586503, 0.032112570569512645, 0.022263099682395874, 0.06291665942610605, -0.12884861656525376, -0.1424048693417875, 0.28985921928466746, 0.09609580051113406, 0.15755684995699837, 0.13470569141614047, 0.05665916112332564, -0.0005163212974920222, 0.006911652987701414, 0.028700256917585175, -0.13206793649284088, 0.08304959202549704, 0.2656119041845238, -0.013427631701114993, 0.20187095180153847, -0.40879381632270373, -0.1550206361546019, 0.055987395336041634, 0.07089425582924615, 0.18278995763672434, -0.042160208417993526, -0.2800225379456685, 0.011292264569024353, -0.23845714559454634, -0.16152088694861563, -0.1369271252365054, 0.06685628583553531, 0.013232381457624875, -0.35046978029624926, 0.10839152754456534, 0.004540521437656539, -0.0007083177890466607, -0.04335611022037009, -0.2595449182326379, 0.033930358950190406, 0.13090000211504166, 0.028018027273229443, 0.11631101143860217, 0.19753446025677715, -0.1217951533674394, -0.12527283548843116, 0.4673645758353498, -0.09192677139451363, -0.1040159288348387, 0.022808205984208896, -0.23092439736280104, -0.11946082220959436, 0.173151707253925, 0.12255909518116033, 0.12813198637329903, -0.08167404718393378, 0.08971445409153365, 0.03694643422394343, 0.19213127108726083, 0.011219137912595888, 0.07827721307884254, 0.11867326044518015, 0.09842316243726679, -0.0005677103662215497, 0.05736474373058983, -0.11447276039879122, -0.009276250162182132, -0.3313562400315119, -0.08728281474348319, -0.17122811718803385, 0.11327237220804977, -0.110532181605579, -0.13161018298452962, 0.37870352020811127, 0.030323268334462267, 0.13768311468479427, -0.0797779343860305, 0.30347609301300155, 0.17227629619478452, 0.09990475435599523, 0.0408581860095222, 0.29980544984826574, 0.30088436898127524, -0.018126153364352394, -0.3747234295486756, 0.04523427540983033, 0.0934539753842451] |
710.5631 | Scheme for implementing atomic multiport devices | Multiport generalizations of beam splitters are the key component in
multipath interferometers, which are important in a range of quantum state
engineering and precision measurement schemes. Here we propose a
straightforward method for implementing multiport devices for atoms trapped in
optical ring lattices. These devices are interesting as atoms have certain
properties (such as mass) that photons do not and the ring configuration makes
them useful for applications such as precision gyroscopes. We discuss how they
could be employed in useful measurement schemes and investigate how practical
considerations limit the size of the devices that can be achieved by this
method.
| quant-ph | multiport generalizations of beam splitters are the key component in multipath interferometers which are important in a range of quantum state engineering and precision measurement schemes here we propose a straightforward method for implementing multiport devices for atoms trapped in optical ring lattices these devices are interesting as atoms have certain properties such as mass that photons do not and the ring configuration makes them useful for applications such as precision gyroscopes we discuss how they could be employed in useful measurement schemes and investigate how practical considerations limit the size of the devices that can be achieved by this method | [['multiport', 'generalizations', 'of', 'beam', 'splitters', 'are', 'the', 'key', 'component', 'in', 'multipath', 'interferometers', 'which', 'are', 'important', 'in', 'a', 'range', 'of', 'quantum', 'state', 'engineering', 'and', 'precision', 'measurement', 'schemes', 'here', 'we', 'propose', 'a', 'straightforward', 'method', 'for', 'implementing', 'multiport', 'devices', 'for', 'atoms', 'trapped', 'in', 'optical', 'ring', 'lattices', 'these', 'devices', 'are', 'interesting', 'as', 'atoms', 'have', 'certain', 'properties', 'such', 'as', 'mass', 'that', 'photons', 'do', 'not', 'and', 'the', 'ring', 'configuration', 'makes', 'them', 'useful', 'for', 'applications', 'such', 'as', 'precision', 'gyroscopes', 'we', 'discuss', 'how', 'they', 'could', 'be', 'employed', 'in', 'useful', 'measurement', 'schemes', 'and', 'investigate', 'how', 'practical', 'considerations', 'limit', 'the', 'size', 'of', 'the', 'devices', 'that', 'can', 'be', 'achieved', 'by', 'this', 'method']] | [-0.1341263665863783, 0.17121177285420938, -0.056873993763681685, 0.03313548835616854, -0.028660774136441622, -0.22000952825724784, 0.027646451570683777, 0.4790130079640905, -0.2520475359218619, -0.28582680642162217, 0.11253101092827793, -0.21819023443109328, -0.12794570390614543, 0.28752314249666794, -0.07096383161035984, 0.10481665537019472, 0.07098093456796159, -0.04325120424676576, -0.05121864669951656, -0.2076986345962741, 0.27238383221366247, 0.07122028149124973, 0.29617644012398503, 0.053259322216900266, 0.08007818303707212, 0.019104749349287093, 0.03817815116910946, 0.011239560758971636, -0.09947999969362811, 0.11686256490094532, 0.3185203559512254, 0.11060313024733326, 0.23201785887139711, -0.451508935245842, -0.21704971454668753, 0.11815555340213942, 0.19305762468311605, 0.16632943284826926, -0.0693923165943326, -0.2624011133903508, 0.04249028208674771, -0.19531832971969748, -0.15226711315926428, -0.17133013010578285, -0.0010557997289417993, 0.06918305267884146, -0.22223393022921858, 0.006844985510895748, 0.034128498932632555, 0.027559300755510236, 0.04641920263031244, -0.10278956332511388, 0.07573547442489774, 0.11191218185911675, -0.08723597946844183, -0.06249330874237389, 0.17375997176836475, -0.12329526421715423, -0.14637017297088215, 0.4306797768810008, -0.030550723259180488, -0.193751707928956, 0.16468859787126727, -0.08543107082772225, -0.10383995647293211, 0.02738234618826225, 0.21457408172640913, 0.1192404823654359, -0.12486283321251705, 0.028995611878356316, -0.02375075630474799, 0.15928132640253198, 0.0852782234853816, 0.19965369121568038, 0.24226633894561542, 0.14420720185660343, 0.07604736331354661, 0.11207407656457681, -0.07619124867447356, -0.036750967061091766, -0.2854287951151923, -0.18346617026900006, -0.19755214463808748, 0.053979635923451945, -0.05403292167077122, -0.07450346276164055, 0.34353518423320045, 0.1992280481724382, 0.14812520553016723, -0.07388114581451669, 0.3443171785646441, 0.10825372204336679, 0.11361762444202853, 0.004816475128386133, 0.26272761724926164, 0.15480149637142399, 0.08113885501694709, -0.17988865148497396, 0.038787459848577725, 0.001008061752055246] |
710.5632 | Turbulent viscosity and Lambda-effect from numerical turbulence models | Homogeneous anisotropic turbulence simulations are used to determine
off-diagonal components of the Reynolds stress tensor and its parameterization
in terms of turbulent viscosity and Lambda-effect. The turbulence is forced in
an anisotropic fashion by enhancing the strength of the forcing in the vertical
direction. The Coriolis force is included with a rotation axis inclined
relative to the vertical direction. The system studied here is significantly
simpler than that of turbulent stratified convection which has often been used
to study Reynolds stresses. Certain puzzling features of the results for
convection, such as sign changes or highly concentrated latitude distributions,
are not present in the simpler system considered here.
| astro-ph | homogeneous anisotropic turbulence simulations are used to determine offdiagonal components of the reynolds stress tensor and its parameterization in terms of turbulent viscosity and lambdaeffect the turbulence is forced in an anisotropic fashion by enhancing the strength of the forcing in the vertical direction the coriolis force is included with a rotation axis inclined relative to the vertical direction the system studied here is significantly simpler than that of turbulent stratified convection which has often been used to study reynolds stresses certain puzzling features of the results for convection such as sign changes or highly concentrated latitude distributions are not present in the simpler system considered here | [['homogeneous', 'anisotropic', 'turbulence', 'simulations', 'are', 'used', 'to', 'determine', 'offdiagonal', 'components', 'of', 'the', 'reynolds', 'stress', 'tensor', 'and', 'its', 'parameterization', 'in', 'terms', 'of', 'turbulent', 'viscosity', 'and', 'lambdaeffect', 'the', 'turbulence', 'is', 'forced', 'in', 'an', 'anisotropic', 'fashion', 'by', 'enhancing', 'the', 'strength', 'of', 'the', 'forcing', 'in', 'the', 'vertical', 'direction', 'the', 'coriolis', 'force', 'is', 'included', 'with', 'a', 'rotation', 'axis', 'inclined', 'relative', 'to', 'the', 'vertical', 'direction', 'the', 'system', 'studied', 'here', 'is', 'significantly', 'simpler', 'than', 'that', 'of', 'turbulent', 'stratified', 'convection', 'which', 'has', 'often', 'been', 'used', 'to', 'study', 'reynolds', 'stresses', 'certain', 'puzzling', 'features', 'of', 'the', 'results', 'for', 'convection', 'such', 'as', 'sign', 'changes', 'or', 'highly', 'concentrated', 'latitude', 'distributions', 'are', 'not', 'present', 'in', 'the', 'simpler', 'system', 'considered', 'here']] | [-0.18581000207183518, 0.21608599407773, -0.05926474056284979, 0.036361125888624966, -0.10143909575504677, -0.05734375125519653, -0.08230187401837, 0.3372746480054387, -0.2892555741541018, -0.2755163979203066, 0.06892219971986183, -0.18788934004641025, -0.10838527142105049, 0.1957864372351285, -0.02023500630144622, 0.03319332052281161, 0.033195987204524956, -0.02329748611740559, -0.011096266753292668, -0.18725350495671558, 0.30462166419792397, 0.10180933537640582, 0.27317637668391603, 0.005849110989648605, 0.05652391634637786, -0.10723387891705209, -0.03825167779784615, 0.09001129221554115, -0.17866419994079988, 0.04683366398253341, 0.1954372613255596, -0.019454027706687558, 0.23477366558389268, -0.45711705236582556, -0.23235392476492953, 0.04129816721428499, 0.19169486509897163, 0.08945513746992763, 0.015252548544101905, -0.21666003907290854, 0.05939453056682702, -0.1651577215324043, -0.15335177225887636, -0.08195466854583437, 0.06344339356400838, 0.046206087293973734, -0.2756142397672286, 0.14742646113725674, 0.10651147597781915, 0.13467157841007285, -0.08765724815850398, -0.11451843204455468, -0.09150393009533948, 0.08912897265242047, 0.14272148133729906, 0.04831676878618233, 0.18874653024929705, -0.16905239527331334, -0.008603108298277186, 0.43360239768696723, -0.07289988632440658, -0.2763190154752163, 0.20376662323773603, -0.1595188858875326, -0.04180720195209033, 0.1512434547767043, 0.19792360210982718, 0.11402045451452798, -0.09692324187919915, -0.00382389193161382, -0.07733652429985945, 0.13874868444976546, 0.06272497335361822, -0.0726747532009591, 0.1920052925734041, 0.13226582304896595, 0.08410981985261375, 0.11713378179478938, -0.13726096187618117, -0.080053659473659, -0.23393490349125362, -0.12735739699347276, -0.16015460986696253, 0.017701531651731207, -0.07595311288442246, -0.20693913750158988, 0.37490140075717016, 0.1586085692870596, 0.15935836853426838, -0.009282642221469954, 0.33711651931995545, 0.11754675180690416, 0.07009296838159317, 0.12313428426283264, 0.3247988973004378, 0.21447201266614982, 0.15166008159100453, -0.2310887545490829, 0.1239937238229839, 0.03961177092811493] |
710.5633 | Casimir energy of a spherical shell in $\kappa-$Minkowski spacetime | We study the Casimir energy of a spherical shell of radius $a$ in
$\kappa$-Minkowski spacetime for a complex field with an asymmetric ordering
and obtain the energy up to $O(1/\kappa^2)$. We show that the vacuum breaks
particle and anti-particle symmetry if one requires the spectra to be
consistent with the blackbody radiation at the commutative limit.
| hep-th | we study the casimir energy of a spherical shell of radius a in kappaminkowski spacetime for a complex field with an asymmetric ordering and obtain the energy up to o1kappa2 we show that the vacuum breaks particle and antiparticle symmetry if one requires the spectra to be consistent with the blackbody radiation at the commutative limit | [['we', 'study', 'the', 'casimir', 'energy', 'of', 'a', 'spherical', 'shell', 'of', 'radius', 'a', 'in', 'kappaminkowski', 'spacetime', 'for', 'a', 'complex', 'field', 'with', 'an', 'asymmetric', 'ordering', 'and', 'obtain', 'the', 'energy', 'up', 'to', 'o1kappa2', 'we', 'show', 'that', 'the', 'vacuum', 'breaks', 'particle', 'and', 'antiparticle', 'symmetry', 'if', 'one', 'requires', 'the', 'spectra', 'to', 'be', 'consistent', 'with', 'the', 'blackbody', 'radiation', 'at', 'the', 'commutative', 'limit']] | [-0.09174558842046694, 0.16733466686749704, -0.11055486065928231, 0.07607127715918151, -0.0669954805042256, -0.09483257024972276, -0.03825978660448031, 0.3804149539633231, -0.21993636751378123, -0.2940439906648614, 0.026540718360973353, -0.27161410254510965, -0.015665376321835952, 0.13864781542638824, -0.025334994512906467, -0.03806033656001091, 0.009587972797453404, 0.10433415483937344, -0.10612082552080128, -0.13693866979923439, 0.36936331266029315, 0.11238302976231683, 0.20947062107311054, 0.06482902532443405, 0.1170577730644833, 0.018151474464684726, 0.05551578930833123, 0.0354379274120385, -0.1449206870479181, 0.06436489742587913, 0.16253109069710428, 0.025833955796604805, 0.15806586995551533, -0.4250597540627826, -0.17724694189700213, 0.13023457684638826, 0.10119804270904173, 0.1071486485614018, -0.07308928729458289, -0.24077571037818085, 0.04681678358465433, -0.19805920648981223, -0.20294405856931752, -0.044467145763337615, 0.020027616562914442, -0.04735290227373215, -0.2731027223847129, 0.09116351369091055, 0.06479682201011615, 0.03510465544055809, -0.09367731247435916, -0.05843894947320223, -0.04031307503411716, 0.051225410410287706, 0.09159378402612427, 0.0012414869894696908, 0.15170083481352775, -0.11072408343580636, -0.07543299133804711, 0.4269211534072052, -0.07688333040780641, -0.17378351075405424, 0.13446406024423513, -0.2154115247794173, -0.07411697815087709, 0.18454157710075378, 0.08950456079434264, 0.1024195066399195, -0.08730215860361402, 0.15247276083100586, -0.026364807672375305, 0.1857819677753882, 0.09968759380280971, 0.02226466920057481, 0.2831857706335458, 0.10594265445728193, 0.06375521335073493, 0.14646582452538, -0.08395862128077583, -0.08651880616830154, -0.36254300244829873, -0.18513295857066459, -0.16727841782637617, 0.09166803944178603, -0.12163887514087202, -0.17000289044596933, 0.38987662575461646, 0.09234256326136264, 0.19228571304543451, 0.04149942392991348, 0.2735346551307223, 0.1293704492124644, 0.07688474363901399, 0.11257800736718557, 0.28440646840767425, 0.1561759092866189, 0.11148436066101898, -0.2690519797869704, -0.12796007149260152, 0.032596243003552614] |
710.5634 | Kuranishi homology and Kuranishi cohomology: a User's Guide | A Kuranishi space is a topological space with a Kuranishi structure, defined
by Fukaya and Ono. Kuranishi structures occur naturally on moduli spaces of
J-holomorphic curves in symplectic geometry.
This paper is a brief introduction to the author's book arXiv:0707.3572. Let
Y be an orbifold and R a Q-algebra. We define the Kuranishi homology KH_*(Y;R)
of Y with coefficients in R. The chain complex KC_*(Y;R) defining KH_*(Y;R) is
spanned over R by [X,f,G], for X a compact oriented Kuranishi space with
corners, f : X --> Y smooth, and G "gauge-fixing data" which makes Aut(X,f,G)
finite. Our main result is that KH_*(Y;R) is isomorphic to singular homology.
We define a Poincare dual theory of Kuranishi cohomology KH^*(Y;R),
isomorphic to compactly-supported cohomology, using a cochain complex KC^*(Y;R)
spanned over R by [X,f,C], for X a compact Kuranishi space with corners, f : X
--> Y a submersion, and C "co-gauge-fixing data". We also define simpler
theories of Kuranishi bordism KB_*(Y;R) and Kuranishi cobordism KB^*(Y;R), for
R a commutative ring. These are new topological invariants, and we show they
are very large.
These theories are powerful new tools in symplectic geometry. Defining
virtual cycles and chains for moduli spaces of J-holomorphic curves is trivial
in Kuranishi (co)homology. There is no need to perturb moduli spaces, and no
problems with transversality. This gives major simplifications in Lagrangian
Floer cohomology.
| math.SG math.DG math.KT | a kuranishi space is a topological space with a kuranishi structure defined by fukaya and ono kuranishi structures occur naturally on moduli spaces of jholomorphic curves in symplectic geometry this paper is a brief introduction to the authors book arxiv07073572 let y be an orbifold and r a qalgebra we define the kuranishi homology kh_yr of y with coefficients in r the chain complex kc_yr defining kh_yr is spanned over r by xfg for x a compact oriented kuranishi space with corners f x y smooth and g gaugefixing data which makes autxfg finite our main result is that kh_yr is isomorphic to singular homology we define a poincare dual theory of kuranishi cohomology khyr isomorphic to compactlysupported cohomology using a cochain complex kcyr spanned over r by xfc for x a compact kuranishi space with corners f x y a submersion and c cogaugefixing data we also define simpler theories of kuranishi bordism kb_yr and kuranishi cobordism kbyr for r a commutative ring these are new topological invariants and we show they are very large these theories are powerful new tools in symplectic geometry defining virtual cycles and chains for moduli spaces of jholomorphic curves is trivial in kuranishi cohomology there is no need to perturb moduli spaces and no problems with transversality this gives major simplifications in lagrangian floer cohomology | [['a', 'kuranishi', 'space', 'is', 'a', 'topological', 'space', 'with', 'a', 'kuranishi', 'structure', 'defined', 'by', 'fukaya', 'and', 'ono', 'kuranishi', 'structures', 'occur', 'naturally', 'on', 'moduli', 'spaces', 'of', 'jholomorphic', 'curves', 'in', 'symplectic', 'geometry', 'this', 'paper', 'is', 'a', 'brief', 'introduction', 'to', 'the', 'authors', 'book', 'arxiv07073572', 'let', 'y', 'be', 'an', 'orbifold', 'and', 'r', 'a', 'qalgebra', 'we', 'define', 'the', 'kuranishi', 'homology', 'kh_yr', 'of', 'y', 'with', 'coefficients', 'in', 'r', 'the', 'chain', 'complex', 'kc_yr', 'defining', 'kh_yr', 'is', 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710.5635 | Consistency Condition of Spherically Symmetric Solutions in $f(R)$
Gravity | In this work we study the spherical symmetric solutions of $f(R)$ gravity in
the metric formalism. We show that for a generic $f(R)$ gravity, the spherical
symmetric solution is consistent with the modified gravity equations except in
the case of imposing an extra condition for the metric.
| astro-ph | in this work we study the spherical symmetric solutions of fr gravity in the metric formalism we show that for a generic fr gravity the spherical symmetric solution is consistent with the modified gravity equations except in the case of imposing an extra condition for the metric | [['in', 'this', 'work', 'we', 'study', 'the', 'spherical', 'symmetric', 'solutions', 'of', 'fr', 'gravity', 'in', 'the', 'metric', 'formalism', 'we', 'show', 'that', 'for', 'a', 'generic', 'fr', 'gravity', 'the', 'spherical', 'symmetric', 'solution', 'is', 'consistent', 'with', 'the', 'modified', 'gravity', 'equations', 'except', 'in', 'the', 'case', 'of', 'imposing', 'an', 'extra', 'condition', 'for', 'the', 'metric']] | [-0.16818204042600823, 0.03895599258589271, -0.10674552088405223, 0.08671864306435306, -0.08424305194552908, -0.17014552849998815, -0.10630618184408609, 0.28756717875837645, -0.15331268178774637, -0.2369175124913454, 0.05493133677853311, -0.2177997792654849, -0.19373357660592871, 0.11489107164534483, -0.08765949237784569, 0.009453267015100636, -0.01850769652965221, 0.07362747920597805, -0.15064507537085484, -0.18656170762520521, 0.41917150007917525, 0.06808835157054535, 0.24292303215553787, -0.005707610789884595, 0.08830798732394234, -0.05846017099758412, 0.007363697870614681, 0.10047177530508092, -0.189870620488983, 0.05404900468172545, 0.1495804367884201, 0.11771854857339505, 0.19213702173982847, -0.42681769967237687, -0.2565388008952141, 0.10684025644304905, 0.07333552234984458, 0.17655347547236275, -0.10648342961088773, -0.2756403899365204, 0.08358361199745869, -0.20920032627405005, -0.20795741354293645, 0.0017498793437125835, 0.01324910240525261, -0.06381295277102988, -0.289736506192291, 0.08279859647154808, 0.10441133072797923, -0.04087490180229887, -0.15585570659567702, -0.029263980567772338, 0.01097899929006049, 0.011404312879560476, 0.1123622546586743, 0.035269956059872785, 0.0405916454904574, -0.1463827433688764, -0.021992803382825978, 0.4310763305489053, -0.1602795647179827, -0.3350049216458772, 0.11934132097249335, -0.16839947581211936, -0.17298846812720628, 0.017292445872296044, 0.12990169146870997, 0.2283862421804286, -0.14824692405601766, 0.2170980336699397, -0.057097739559855865, 0.11305057517490646, 0.1158892572560209, -0.007966329690386006, 0.2252535662673255, 0.08560617553426865, 0.052630645757977, 0.1745181326912914, -0.02131821096260497, -0.11496693070264573, -0.403900387122276, -0.1883884875514536, -0.12346348598440911, 0.03299615137833864, -0.20024480207010786, -0.1746485949038191, 0.3628420917356902, 0.08479145724088588, 0.07431429600779046, 0.10733314544121002, 0.24015930754707215, 0.12283563542556256, 0.03849010874933385, 0.09778046496014328, 0.3168471002594588, 0.12247552790064761, 0.04705742628194709, -0.23650859869976945, -0.06647984081126274, 0.1030225170617725] |
710.5636 | Where is the matter in the Merging Cluster Abell 2218? | We present a parametric strong lensing model of the cluster Abell 2218 based
on HST ACS data. We constrain the lens model using 8 previously known multiply
imaged systems, of which 7 have spectroscopically confirmed redshifts. In
addition, we propose five candidate multiply imaged systems and estimate their
redshifts using our mass model. The model parameters are optimized in the
source plane by a bayesian Monte Carlo Markov Chain as implemented in the the
publicly available software Lenstool. We find rms=0."12 for the scatter of the
sources in the source plane, which translates into rms=1."49 between the
predicted and measured image positions in the image plane. We find that the
projected mass distribution of Abell 2218 is bimodal, which is supported by an
analysis of the light distribution. We also find evidence for two structures in
velocity space, separated by ~1000 km/s, corresponding to the two large scale
dark matter clumps. We find that the lensing constraints can not be well
reproduced using only dark matter halos associated with the cluster galaxies,
but that the dark matter is required to be smoothly distributed in large scale
halos. At 100" the enclosed projected mass is 3.8e14 solar masses. At that
radius, the large scale halos contribute ~85% of the mass. We find that the
model is not very sensitive to the fainter galaxy sized halos, unless they
locally perturb a given multiply imaged system. Therefore, dark galaxy sized
substructure can be reliably constrained only if it locally perturbs one of the
systems. In an appendix we give a self-contained description of the parametric
profile we use, the dual pseudo isothermal elliptical mass distribution (dPIE).
This profile is a two component pseudo isothermal mass distribution (PIEMD)
with both a core radii and a scale radii. (Abridged)
| astro-ph | we present a parametric strong lensing model of the cluster abell 2218 based on hst acs data we constrain the lens model using 8 previously known multiply imaged systems of which 7 have spectroscopically confirmed redshifts in addition we propose five candidate multiply imaged systems and estimate their redshifts using our mass model the model parameters are optimized in the source plane by a bayesian monte carlo markov chain as implemented in the the publicly available software lenstool we find rms012 for the scatter of the sources in the source plane which translates into rms149 between the predicted and measured image positions in the image plane we find that the projected mass distribution of abell 2218 is bimodal which is supported by an analysis of the light distribution we also find evidence for two structures in velocity space separated by 1000 kms corresponding to the two large scale dark matter clumps we find that the lensing constraints can not be well reproduced using only dark matter halos associated with the cluster galaxies but that the dark matter is required to be smoothly distributed in large scale halos at 100 the enclosed projected mass is 38e14 solar masses at that radius the large scale halos contribute 85 of the mass we find that the model is not very sensitive to the fainter galaxy sized halos unless they locally perturb a given multiply imaged system therefore dark galaxy sized substructure can be reliably constrained only if it locally perturbs one of the systems in an appendix we give a selfcontained description of the parametric profile we use the dual pseudo isothermal elliptical mass distribution dpie this profile is a two component pseudo isothermal mass distribution piemd with both a core radii and a scale radii abridged | [['we', 'present', 'a', 'parametric', 'strong', 'lensing', 'model', 'of', 'the', 'cluster', 'abell', '2218', 'based', 'on', 'hst', 'acs', 'data', 'we', 'constrain', 'the', 'lens', 'model', 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710.5637 | A method of open cluster membership determination | A new method for the determination of open cluster membership based on a
cumulative effect is proposed. In the field of a plate the relative x and y
coordinate positions of each star with respect to all the other stars are
added. The procedure is carried out for two epochs t_1 and t_2 separately, then
one sum is subtracted from another. For a field star the differences in its
relative coordinate positions of two epochs will be accumulated. For a cluster
star, on the contrary, the changes in relative positions of cluster members at
t_1 and t_2 will be very small. On the histogram of sums the cluster stars will
gather to the left of the diagram, while the field stars will form a tail to
the right. The procedure allows us to efficiently discriminate one group from
another. The greater the distance between t_1 and t_2 and the more cluster
stars present, the greater is the effect. The accumulation method does not
require reference stars, determination of centroids and modelling the
distribution of field stars, necessary in traditional methods. By the proposed
method 240 open clusters have been processed, including stars up to m<13. The
membership probabilities have been calculated and compared to those obtained by
the most commonly used Vasilevskis-Sanders method. The similarity of the
results acquired the two different approaches is satisfactory for the majority
of clusters.
| astro-ph | a new method for the determination of open cluster membership based on a cumulative effect is proposed in the field of a plate the relative x and y coordinate positions of each star with respect to all the other stars are added the procedure is carried out for two epochs t_1 and t_2 separately then one sum is subtracted from another for a field star the differences in its relative coordinate positions of two epochs will be accumulated for a cluster star on the contrary the changes in relative positions of cluster members at t_1 and t_2 will be very small on the histogram of sums the cluster stars will gather to the left of the diagram while the field stars will form a tail to the right the procedure allows us to efficiently discriminate one group from another the greater the distance between t_1 and t_2 and the more cluster stars present the greater is the effect the accumulation method does not require reference stars determination of centroids and modelling the distribution of field stars necessary in traditional methods by the proposed method 240 open clusters have been processed including stars up to m13 the membership probabilities have been calculated and compared to those obtained by the most commonly used vasilevskissanders method the similarity of the results acquired the two different approaches is satisfactory for the majority of clusters | [['a', 'new', 'method', 'for', 'the', 'determination', 'of', 'open', 'cluster', 'membership', 'based', 'on', 'a', 'cumulative', 'effect', 'is', 'proposed', 'in', 'the', 'field', 'of', 'a', 'plate', 'the', 'relative', 'x', 'and', 'y', 'coordinate', 'positions', 'of', 'each', 'star', 'with', 'respect', 'to', 'all', 'the', 'other', 'stars', 'are', 'added', 'the', 'procedure', 'is', 'carried', 'out', 'for', 'two', 'epochs', 't_1', 'and', 't_2', 'separately', 'then', 'one', 'sum', 'is', 'subtracted', 'from', 'another', 'for', 'a', 'field', 'star', 'the', 'differences', 'in', 'its', 'relative', 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710.5638 | Towards classification of simple finite dimensional modular Lie
superalgebras | A way to construct (conjecturally all) simple finite dimensional modular Lie
(super)algebras over algebraically closed fields of characteristic not 2 is
offered. In characteristic 2, the method is supposed to give only simple Lie
(super)algebras graded by integers and only some of the non-graded ones). The
conjecture is backed up with the latest results computationally most difficult
of which are obtained with the help of Grozman's software package SuperLie.
| math.RT | a way to construct conjecturally all simple finite dimensional modular lie superalgebras over algebraically closed fields of characteristic not 2 is offered in characteristic 2 the method is supposed to give only simple lie superalgebras graded by integers and only some of the nongraded ones the conjecture is backed up with the latest results computationally most difficult of which are obtained with the help of grozmans software package superlie | [['a', 'way', 'to', 'construct', 'conjecturally', 'all', 'simple', 'finite', 'dimensional', 'modular', 'lie', 'superalgebras', 'over', 'algebraically', 'closed', 'fields', 'of', 'characteristic', 'not', '2', 'is', 'offered', 'in', 'characteristic', '2', 'the', 'method', 'is', 'supposed', 'to', 'give', 'only', 'simple', 'lie', 'superalgebras', 'graded', 'by', 'integers', 'and', 'only', 'some', 'of', 'the', 'nongraded', 'ones', 'the', 'conjecture', 'is', 'backed', 'up', 'with', 'the', 'latest', 'results', 'computationally', 'most', 'difficult', 'of', 'which', 'are', 'obtained', 'with', 'the', 'help', 'of', 'grozmans', 'software', 'package', 'superlie']] | [-0.15741341387324814, 0.07313667009793111, -0.06987730025855908, 0.045518952315853935, -0.1782689926826131, -0.24894647313448698, -0.06516320900574549, 0.37527066781950086, -0.3043394209625922, -0.25972140579025693, 0.09125090281152402, -0.19959550269935003, -0.13820654975681274, 0.28079577998272076, -0.06846180107746858, -0.046482163875836376, 0.021962110870587293, 0.13446894263042442, -0.06444418319125673, -0.38443537117607557, 0.35712659417012177, 0.012359427705184738, 0.18431657786244776, 0.016376761636182444, 0.0879527621471615, -0.02565949433135675, -0.015988590244426212, 0.0006182018333851402, -0.13645007970061765, 0.14579725328054446, 0.3422882999641015, 0.08815281545576542, 0.20835508075334244, -0.38608121902528986, -0.10353584977652211, 0.1115585208189354, 0.18380968989943391, 0.05466127707518693, -0.015605572875199923, -0.2410479328602052, 0.1506082617552645, -0.19651914633977324, -0.1778397167087602, -0.10849143693974214, 0.02778978070327595, -0.02520303931365262, -0.23147883109831766, 0.00912366035992085, 0.054556963390170306, 0.1472513578526342, -0.06561458143822627, -0.1352727834218696, -0.007502730324197172, 0.06703765595804399, -0.027706758692554796, 0.027435483139897906, 0.07869187576362668, -0.07689018031626109, -0.14534114694584216, 0.3665863297768493, 0.0037736150700209744, -0.21312766203851397, 0.1709490084270043, -0.17514611293436655, -0.11650707591464048, 0.18517728130430428, 0.027308856303900925, 0.13054463509192218, -0.1391879182948328, 0.1693173372317036, -0.07701043656040261, 0.060191107691446345, 0.048962321931690866, -0.03510439705882055, 0.15006701723297142, 0.09733314664839808, 0.009411830093656013, 0.08721143173734977, 0.06325738755430081, -0.035402047705016475, -0.3524916796986736, -0.15973510732179258, -0.12210915087020274, 0.12357510457101188, -0.10433202645538979, -0.17824814447597948, 0.42241474152403646, 0.13416755781422104, 0.18220821794434347, 0.157718337392921, 0.2475519340429733, 0.07548300938597366, 0.15278419568689902, 0.11911040011431966, 0.12074304596779854, 0.2149244949061757, -0.01819758626820047, -0.06338139562937084, -0.027764811931150175, 0.1124992855449221] |
710.5639 | Central and non-central limit theorems for weighted power variations of
fractional Brownian motion | In this paper, we prove some central and non-central limit theorems for
renormalized weighted power variations of order q>=2 of the fractional Brownian
motion with Hurst parameter H in (0,1), where q is an integer. The central
limit holds for 1/(2q)<H<= 1-1/(2q), the limit being a conditionally Gaussian
distribution. If H<1/(2q), we show the convergence in L^2 to a limit which only
depends on the fractional Brownian motion, and if H> 1-1/(2q), we show the
convergence in L^2 to a stochastic integral with respect to the Hermite process
of order q.
| math.PR | in this paper we prove some central and noncentral limit theorems for renormalized weighted power variations of order q2 of the fractional brownian motion with hurst parameter h in 01 where q is an integer the central limit holds for 12qh 112q the limit being a conditionally gaussian distribution if h12q we show the convergence in l2 to a limit which only depends on the fractional brownian motion and if h 112q we show the convergence in l2 to a stochastic integral with respect to the hermite process of order q | [['in', 'this', 'paper', 'we', 'prove', 'some', 'central', 'and', 'noncentral', 'limit', 'theorems', 'for', 'renormalized', 'weighted', 'power', 'variations', 'of', 'order', 'q2', 'of', 'the', 'fractional', 'brownian', 'motion', 'with', 'hurst', 'parameter', 'h', 'in', '01', 'where', 'q', 'is', 'an', 'integer', 'the', 'central', 'limit', 'holds', 'for', '12qh', '112q', 'the', 'limit', 'being', 'a', 'conditionally', 'gaussian', 'distribution', 'if', 'h12q', 'we', 'show', 'the', 'convergence', 'in', 'l2', 'to', 'a', 'limit', 'which', 'only', 'depends', 'on', 'the', 'fractional', 'brownian', 'motion', 'and', 'if', 'h', '112q', 'we', 'show', 'the', 'convergence', 'in', 'l2', 'to', 'a', 'stochastic', 'integral', 'with', 'respect', 'to', 'the', 'hermite', 'process', 'of', 'order', 'q']] | [-0.11119023055954162, 0.12738766583989392, -0.08707266145696242, 0.0397701459575216, -0.031043267910550724, -0.07305321521821549, 0.029830022502273065, 0.350730261198063, -0.30709263932859077, -0.2050924075469, 0.12091666527477832, -0.28371988630842887, -0.08264575778752908, 0.1751507265471864, -0.12263532171304199, 0.07963508515265481, 0.03585378533421919, 0.09435486047389521, -0.029628004364926238, -0.2257856202750713, 0.2903574372898659, -0.03381787684221549, 0.17143476169941754, 0.0005247471532944975, 0.11744061526681843, 0.026595586070512562, -0.009832316501756552, 0.005851155109489444, -0.19001371990461116, 0.11244275016595084, 0.18447793782528105, -0.03687180912967814, 0.3214807001467066, -0.32273786551393996, -0.14329340863416248, 0.19691267041168337, 0.17410071157741938, -0.0041183653065463765, 0.020314133695283926, -0.24578506079898482, 0.1059888935936936, -0.1407783491986579, -0.169300167799938, -0.06662988728286977, 0.1005441720072908, 0.1005792142181047, -0.377008510860561, 0.13299733229602376, 0.16067069006719809, 0.011184371012295115, -0.034912970896553375, -0.11385711413090942, -0.005359324626624584, 0.06358724209512102, 0.06053148194760801, 0.03215004206667173, 0.09786696061920161, -0.1461163047759997, -0.10450179590147803, 0.3682822046972726, -0.12229070679991152, -0.27664071548430397, 0.09444162284891153, -0.28409069329072006, -0.17498777043502564, 0.0962047201377907, 0.14254103678689423, 0.1371847418251972, -0.10519014064479491, 0.17998828855476973, -0.01826926307945416, 0.15924998660352424, 0.08527945339594079, 0.02433101801822583, 0.09214844162864931, 0.11837091172734897, 0.1689476845678927, 0.13976798177129407, -0.1315669879697306, -0.12202232322473636, -0.3763061937308688, -0.17853651090856942, -0.21785364681105504, 0.10977913516081185, -0.1837254212630629, -0.16037394499791593, 0.3032784680568281, 0.14331932941815634, 0.20316072748224626, 0.11236898254351584, 0.21987495601348495, 0.24831964213657995, -0.043039549977101126, 0.12165308369580528, 0.18983254520304169, 0.17448076860572415, 0.0916576591084829, -0.18597557264026895, 0.008107525537368553, 0.13157039846764643] |
710.564 | LDPC-Based Iterative Algorithm for Compression of Correlated Sources at
Rates Approaching the Slepian-Wolf Bound | This article proposes a novel iterative algorithm based on Low Density Parity
Check (LDPC) codes for compression of correlated sources at rates approaching
the Slepian-Wolf bound. The setup considered in the article looks at the
problem of compressing one source at a rate determined based on the knowledge
of the mean source correlation at the encoder, and employing the other
correlated source as side information at the decoder which decompresses the
first source based on the estimates of the actual correlation. We demonstrate
that depending on the extent of the actual source correlation estimated through
an iterative paradigm, significant compression can be obtained relative to the
case the decoder does not use the implicit knowledge of the existence of
correlation.
| cs.IT math.IT | this article proposes a novel iterative algorithm based on low density parity check ldpc codes for compression of correlated sources at rates approaching the slepianwolf bound the setup considered in the article looks at the problem of compressing one source at a rate determined based on the knowledge of the mean source correlation at the encoder and employing the other correlated source as side information at the decoder which decompresses the first source based on the estimates of the actual correlation we demonstrate that depending on the extent of the actual source correlation estimated through an iterative paradigm significant compression can be obtained relative to the case the decoder does not use the implicit knowledge of the existence of correlation | [['this', 'article', 'proposes', 'a', 'novel', 'iterative', 'algorithm', 'based', 'on', 'low', 'density', 'parity', 'check', 'ldpc', 'codes', 'for', 'compression', 'of', 'correlated', 'sources', 'at', 'rates', 'approaching', 'the', 'slepianwolf', 'bound', 'the', 'setup', 'considered', 'in', 'the', 'article', 'looks', 'at', 'the', 'problem', 'of', 'compressing', 'one', 'source', 'at', 'a', 'rate', 'determined', 'based', 'on', 'the', 'knowledge', 'of', 'the', 'mean', 'source', 'correlation', 'at', 'the', 'encoder', 'and', 'employing', 'the', 'other', 'correlated', 'source', 'as', 'side', 'information', 'at', 'the', 'decoder', 'which', 'decompresses', 'the', 'first', 'source', 'based', 'on', 'the', 'estimates', 'of', 'the', 'actual', 'correlation', 'we', 'demonstrate', 'that', 'depending', 'on', 'the', 'extent', 'of', 'the', 'actual', 'source', 'correlation', 'estimated', 'through', 'an', 'iterative', 'paradigm', 'significant', 'compression', 'can', 'be', 'obtained', 'relative', 'to', 'the', 'case', 'the', 'decoder', 'does', 'not', 'use', 'the', 'implicit', 'knowledge', 'of', 'the', 'existence', 'of', 'correlation']] | [-0.12110406807623804, 0.025280189689874534, -0.10929427053197287, 0.07828909824117242, -0.026282395959909385, -0.17633493994362653, 0.08669610110421976, 0.37076000979480644, -0.289611418490919, -0.29277513962006196, 0.12594360491396703, -0.26651405143396306, -0.09597177619677193, 0.19071657473687081, -0.028821029180350403, 0.045999032309434064, 0.035691134717004996, 0.09900231598488365, -0.15076181342786488, -0.24060820560747137, 0.3363799811185648, 0.17355232601985335, 0.342264939363425, 0.0789945858520999, 0.13758368694689124, 0.013842548104003071, -0.07380511918648457, -0.05604688321085026, -0.08608034927486491, 0.12235556652982875, 0.21365812860894948, 0.1418364532641135, 0.23821158315986396, -0.3866291906917468, -0.20774313126845906, 0.044895069549481074, 0.15079080523767818, 0.12589450135904676, -0.04965699734554316, -0.2502454973524436, 0.08053685080182428, -0.14587088099215179, -0.0419428444118239, 0.05082252773572691, -0.061166278882107385, 0.025680862402077766, -0.27922440314820657, 0.0841122234162564, 0.05484066501406536, 0.025542219774797557, -0.0528973881174655, -0.1334412381052971, 0.03953543030268823, 0.14175798783932503, 0.018039777517939608, 0.07837445552286226, 0.1079015805463617, -0.11734707503928803, -0.09095475645614594, 0.32932524939533325, -0.08153255446328937, -0.19437859214255393, 0.15421054820956973, -0.09206120080004136, -0.13822513693012298, 0.1461402668520653, 0.21313510526670143, 0.11174320142878666, -0.11770703750662506, 0.004202040053011539, -0.019708539783217325, 0.24386283660811994, 0.07647042851895094, 0.06900882833870128, 0.21281354047823697, 0.1332222192004944, 0.06073577487065147, 0.17822104253912888, -0.15682216377463193, -0.07955202699716514, -0.31453452792096265, -0.08136334908437372, -0.2522439750454699, -0.015828946865197698, -0.09031256609584186, -0.14318718688591617, 0.3696418444548423, 0.17380609339646375, 0.15821856037170315, 0.0803387190613042, 0.3253398262119542, 0.0976520123144534, 0.04709311859915033, 0.1367502727235357, 0.2252888501282238, 0.0984137593555109, 0.06607216846362765, -0.24269826666568406, 0.1467681202183788, 0.07802788505408292] |
710.5641 | Tight homomorphisms and Hermitian symmetric spaces | We introduce the notion of tight homomorphism into a locally compact group
with nonvanishing bounded cohomology and study these homomorphisms in detail
when the target is a Lie group of Hermitian type. Tight homomorphisms between
Lie groups of Hermitian type give rise to tight totally geodesic maps of
Hermitian symmetric spaces. We show that tight maps behave in a functorial way
with respect to the Shilov boundary and use this to prove a general structure
theorem for tight homomorphisms. Furthermore we classify all tight embeddings
of the Poincare' disk.
| math.DG | we introduce the notion of tight homomorphism into a locally compact group with nonvanishing bounded cohomology and study these homomorphisms in detail when the target is a lie group of hermitian type tight homomorphisms between lie groups of hermitian type give rise to tight totally geodesic maps of hermitian symmetric spaces we show that tight maps behave in a functorial way with respect to the shilov boundary and use this to prove a general structure theorem for tight homomorphisms furthermore we classify all tight embeddings of the poincare disk | [['we', 'introduce', 'the', 'notion', 'of', 'tight', 'homomorphism', 'into', 'a', 'locally', 'compact', 'group', 'with', 'nonvanishing', 'bounded', 'cohomology', 'and', 'study', 'these', 'homomorphisms', 'in', 'detail', 'when', 'the', 'target', 'is', 'a', 'lie', 'group', 'of', 'hermitian', 'type', 'tight', 'homomorphisms', 'between', 'lie', 'groups', 'of', 'hermitian', 'type', 'give', 'rise', 'to', 'tight', 'totally', 'geodesic', 'maps', 'of', 'hermitian', 'symmetric', 'spaces', 'we', 'show', 'that', 'tight', 'maps', 'behave', 'in', 'a', 'functorial', 'way', 'with', 'respect', 'to', 'the', 'shilov', 'boundary', 'and', 'use', 'this', 'to', 'prove', 'a', 'general', 'structure', 'theorem', 'for', 'tight', 'homomorphisms', 'furthermore', 'we', 'classify', 'all', 'tight', 'embeddings', 'of', 'the', 'poincare', 'disk']] | [-0.18123916678884056, 0.07377918593041348, -0.0746907667162713, 0.1300894498008858, -0.13649576650723144, -0.1568450222859222, 0.023044131821795797, 0.41226786676417576, -0.3545350598987569, -0.20227226088401662, 0.05959125622070991, -0.2099102068106445, -0.17313837168445245, 0.1647019385768289, -0.15722188097163198, -0.055164461489766836, 0.06424691123113538, 0.10013781784604607, -0.18678719207927, -0.25179560735476403, 0.4522603063770894, -0.026564806835788688, 0.19979111950718956, 0.05180680360958985, 0.08972255991028852, -0.009019936052977705, -0.039479853104004696, -0.01516884635464194, -0.21507665602102147, 0.1475089779228307, 0.302358576436684, 0.04353349424344016, 0.17050751259163274, -0.37837780930436726, -0.09517108942539002, 0.24992763363034204, 0.06466759220870955, 0.0011193605867120323, -0.05760119308382691, -0.3085343963518906, 0.10029936278908608, -0.1384254664037471, -0.13026054156159333, -0.08163137926479404, 0.07430662860403235, 0.005054111652641317, -0.2152103214724816, 0.01835602739553773, 0.15732084151901557, 0.06587685425922776, -0.11384457408377294, -0.018487281342602094, -0.04744682639701229, 0.11858832239588, -0.07991593833646496, 0.0572797629035214, 0.09879660455175163, 0.0152536914108342, -0.09761378412354696, 0.3861828560658385, -0.09573217138668962, -0.24452152676629216, 0.15311105640374878, -0.17467784321751822, -0.22327827050329677, 0.08533100651974758, 0.14434010893357604, 0.13128651238538408, -0.06608341218726421, 0.18955047747638243, -0.17836994531151074, 0.06145562493540556, 0.09498699798426602, 0.061145467498585626, 0.14075534866097267, 0.04895047807616046, 0.16439413164187683, 0.20071025436032522, 0.07366686689751117, -0.0440232390923729, -0.3379090993529123, -0.17844196938480553, -0.07836790475863545, 0.1307573742520985, -0.1495044088364563, -0.20560205049990687, 0.3834517477603441, 0.012122146434705244, 0.23012962330425724, 0.2189563679655365, 0.20336867885643176, 0.03440507863166878, 0.06873430403765668, 0.11497876165811433, 0.16734402325381054, 0.26629872335476823, -0.07684487716577361, -0.07610491568515643, -0.09841376615771918, 0.2083815526839521] |
710.5642 | Circulant matrices, gauss sums and mutually unbiased I. The prime number
case | In this paper, we consider the problem of Mutually Unbiased Bases in prime
dimension $d$. It is known to provide exactly $d+1$ mutually unbiased bases. We
revisit this problem using a class of circulant $d \times d$ matrices. The
constructive proof of a set of $d+1$ mutually unbiased bases follows, together
with a set of properties of Gauss sums, and of bi-unimodular sequences.
| math-ph math.MP quant-ph | in this paper we consider the problem of mutually unbiased bases in prime dimension d it is known to provide exactly d1 mutually unbiased bases we revisit this problem using a class of circulant d times d matrices the constructive proof of a set of d1 mutually unbiased bases follows together with a set of properties of gauss sums and of biunimodular sequences | [['in', 'this', 'paper', 'we', 'consider', 'the', 'problem', 'of', 'mutually', 'unbiased', 'bases', 'in', 'prime', 'dimension', 'd', 'it', 'is', 'known', 'to', 'provide', 'exactly', 'd1', 'mutually', 'unbiased', 'bases', 'we', 'revisit', 'this', 'problem', 'using', 'a', 'class', 'of', 'circulant', 'd', 'times', 'd', 'matrices', 'the', 'constructive', 'proof', 'of', 'a', 'set', 'of', 'd1', 'mutually', 'unbiased', 'bases', 'follows', 'together', 'with', 'a', 'set', 'of', 'properties', 'of', 'gauss', 'sums', 'and', 'of', 'biunimodular', 'sequences']] | [-0.19785433785901183, 0.06727120322027495, -0.018932258059817648, 0.007558724611982821, -0.008286879301839878, -0.12581815429416204, 0.06193001751810135, 0.3474395749646993, -0.27247568259813953, -0.1957781056814369, 0.08845533539230625, -0.29311606222911485, -0.13599393617302652, 0.1404607348912765, -0.06222983216127706, 0.03017897126708357, 0.05739625194479549, 0.0496335967101105, -0.047088274222222115, -0.3203489487761602, 0.3269102916949325, -0.02337017288756749, 0.1848074681465588, -0.08810917254803437, 0.13090630319146884, 0.036089584697037935, -0.08123035897456464, 0.0008746375521970173, -0.15705874339041728, 0.22432168382441714, 0.2787533199436785, 0.195886558354167, 0.23881322065634386, -0.33857521618760766, -0.08139576918135087, 0.2182742774150231, 0.16900924352803343, 0.11061300551666627, 0.038571990431389876, -0.1849815192824555, 0.04959849783751581, -0.10565860978963357, -0.18543098216861606, -0.08679853322073108, 0.07601786716028101, -0.02292168101975842, -0.377837138132207, 0.07671843529752796, 0.14768982427342545, 0.12383140038166728, 0.015121007511865289, -0.21655545235862808, 0.0686757536383257, 0.06544314181276907, -0.020185715465303806, 0.013885829457274032, -0.005211583241665115, 0.0010592579205949155, -0.2012424065421025, 0.3127409403567158, -0.008022021910633951, -0.25995500527677085, 0.14494205505720206, -0.1766332211416392, -0.1579510643191281, 0.09162756372317081, 0.1193256357182113, 0.17015668406846032, -0.16535518036061336, 0.14019653844066882, -0.1499195729663211, 0.14240246093166725, 0.12335100920782202, 0.072132054376342, 0.1672974236250397, 0.07483640744069976, 0.12797039195096918, 0.18275976376164527, 0.04134301159028259, -0.002323226160591557, -0.3150972432737786, -0.15159019764276252, -0.22269496079238635, 0.15559859559058198, -0.11842106704739669, -0.2137089524240721, 0.35473146038277753, 0.08491732545256142, 0.21038701642482055, 0.10001603951529851, 0.2095649235748819, 0.02672134457749226, 0.0014714606952602191, 0.06203945017316275, 0.1512531235459305, 0.2288317278264061, -0.0595101159332054, -0.11325729940648353, -0.013032766317741739, 0.1665995754597206] |
710.5643 | Block circulant matrices with circulant blocks, weil sums and mutually
unbiased bases, II. The prime power case | In our previous paper \cite{co1} we have shown that the theory of circulant
matrices allows to recover the result that there exists $p+1$ Mutually Unbiased
Bases in dimension $p$, $p$ being an arbitrary prime number. Two orthonormal
bases $\mathcal B, \mathcal B'$ of $\mathbb C^d$ are said mutually unbiased if
$\forall b\in \mathcal B, \forall b' \in \mathcal B'$ one has that $$| b\cdot
b'| = \frac{1}{\sqrt d}$$ ($b\cdot b'$ hermitian scalar product in $\mathbb
C^d$). In this paper we show that the theory of block-circulant matrices with
circulant blocks allows to show very simply the known result that if $d=p^n$
($p$ a prime number, $n$ any integer) there exists $d+1$ mutually Unbiased
Bases in $\mathbb C^d$. Our result relies heavily on an idea of Klimov, Munoz,
Romero \cite{klimuro}. As a subproduct we recover properties of quadratic Weil
sums for $p\ge 3$, which generalizes the fact that in the prime case the
quadratic Gauss sums properties follow from our results.
| math-ph math.MP quant-ph | in our previous paper citeco1 we have shown that the theory of circulant matrices allows to recover the result that there exists p1 mutually unbiased bases in dimension p p being an arbitrary prime number two orthonormal bases mathcal b mathcal b of mathbb cd are said mutually unbiased if forall bin mathcal b forall b in mathcal b one has that bcdot b frac1sqrt d bcdot b hermitian scalar product in mathbb cd in this paper we show that the theory of blockcirculant matrices with circulant blocks allows to show very simply the known result that if dpn p a prime number n any integer there exists d1 mutually unbiased bases in mathbb cd our result relies heavily on an idea of klimov munoz romero citeklimuro as a subproduct we recover properties of quadratic weil sums for pge 3 which generalizes the fact that in the prime case the quadratic gauss sums properties follow from our results | [['in', 'our', 'previous', 'paper', 'citeco1', 'we', 'have', 'shown', 'that', 'the', 'theory', 'of', 'circulant', 'matrices', 'allows', 'to', 'recover', 'the', 'result', 'that', 'there', 'exists', 'p1', 'mutually', 'unbiased', 'bases', 'in', 'dimension', 'p', 'p', 'being', 'an', 'arbitrary', 'prime', 'number', 'two', 'orthonormal', 'bases', 'mathcal', 'b', 'mathcal', 'b', 'of', 'mathbb', 'cd', 'are', 'said', 'mutually', 'unbiased', 'if', 'forall', 'bin', 'mathcal', 'b', 'forall', 'b', 'in', 'mathcal', 'b', 'one', 'has', 'that', 'bcdot', 'b', 'frac1sqrt', 'd', 'bcdot', 'b', 'hermitian', 'scalar', 'product', 'in', 'mathbb', 'cd', 'in', 'this', 'paper', 'we', 'show', 'that', 'the', 'theory', 'of', 'blockcirculant', 'matrices', 'with', 'circulant', 'blocks', 'allows', 'to', 'show', 'very', 'simply', 'the', 'known', 'result', 'that', 'if', 'dpn', 'p', 'a', 'prime', 'number', 'n', 'any', 'integer', 'there', 'exists', 'd1', 'mutually', 'unbiased', 'bases', 'in', 'mathbb', 'cd', 'our', 'result', 'relies', 'heavily', 'on', 'an', 'idea', 'of', 'klimov', 'munoz', 'romero', 'citeklimuro', 'as', 'a', 'subproduct', 'we', 'recover', 'properties', 'of', 'quadratic', 'weil', 'sums', 'for', 'pge', '3', 'which', 'generalizes', 'the', 'fact', 'that', 'in', 'the', 'prime', 'case', 'the', 'quadratic', 'gauss', 'sums', 'properties', 'follow', 'from', 'our', 'results']] | [-0.1879105377899041, 0.0924753620729928, -0.02291094187276963, -0.028407876569895636, -0.026867062178774714, -0.19476530355556557, -0.010793373167801362, 0.3338134915878375, -0.2971581837657887, -0.17541059064201248, 0.02217160653731881, -0.30346597820980836, -0.17468676471169323, 0.1470080700535805, -0.09963864758491325, 0.010306629804500308, 0.03150539971792545, 0.09985089687129053, -0.057124166179281205, -0.33432766337855124, 0.297834150487175, -0.07624148602525775, 0.17621593193437618, -0.035698437973713644, 0.04208774618410434, 0.05658005297375031, 0.0014039814746072993, -0.034103139328250945, -0.17236719069581177, 0.10116203887259755, 0.30717746844330135, 0.1743499385476566, 0.2564395014972736, -0.3511308607561753, -0.10645989764135522, 0.24875218250851433, 0.1773630125016774, -0.03413286139272177, -0.019104652047808018, -0.19570399130521438, 0.13434507894980457, -0.14704690526764935, -0.1253476264582087, -0.09822099463632092, 0.13788962277333036, -0.013333919667041836, -0.39153904381852883, 0.026070429579330943, 0.17599907903096232, 0.06645220492441112, -0.01002553075466914, -0.22593483378668913, -0.013270777503912074, 0.02598120805953677, -0.009531433676154567, 0.12228693510704221, 0.021923100376182284, 0.02224852113823335, -0.13671144530347262, 0.3315685558914899, -0.06505070825387986, -0.23423385311168834, 0.11659021341265777, -0.22074880867671126, -0.20142612303010163, 0.08620397139860031, 0.08020422733627641, 0.15965689029186392, -0.030770719657317758, 0.23418971529612556, -0.1855346342572608, 0.1428540333999524, 0.09955960316046213, 0.01873037344417893, 0.09947706118990214, -0.0020730808013094924, 0.08231195484628327, 0.08848290304945877, 0.011657205170008521, 0.021948418535220508, -0.33454953376144075, -0.14336320884131754, -0.20610554419601193, 0.17734974939883566, -0.1277267103208802, -0.15550882252323506, 0.28797249670904607, 0.08537466936141778, 0.19487910381613824, 0.09481043876700987, 0.19850058795194714, 0.036554966132359534, 0.04771353656729051, 0.10155625201952763, 0.13939413033240738, 0.22138689074498147, -0.04120852478230611, -0.13842694031355235, -0.01091767015019193, 0.143986683138885] |
710.5644 | Thermodynamics from a scaling Hamiltonian | There are problems with defining the thermodynamic limit of systems with
long-range interactions; as a result, the thermodynamic behavior of these types
of systems is anomalous. In the present work, we review some concepts from both
extensive and nonextensive thermodynamic perspectives. We use a model, whose
Hamiltonian takes into account spins ferromagnetically coupled in a chain via a
power law that decays at large interparticle distance $r$ as $1/r^{\alpha}$ for
$\alpha\geq0$. Here, we review old nonextensive scaling. In addition, we
propose a new Hamiltonian scaled by $2\frac{(N/2)^{1-\alpha}-1}{1-\alpha}$ that
explicitly includes symmetry of the lattice and dependence on the size, $N$, of
the system. The new approach enabled us to improve upon previous results. A
numerical test is conducted through Monte Carlo simulations. In the model,
periodic boundary conditions are adopted to eliminate surface effects.
| cond-mat.stat-mech cond-mat.str-el | there are problems with defining the thermodynamic limit of systems with longrange interactions as a result the thermodynamic behavior of these types of systems is anomalous in the present work we review some concepts from both extensive and nonextensive thermodynamic perspectives we use a model whose hamiltonian takes into account spins ferromagnetically coupled in a chain via a power law that decays at large interparticle distance r as 1ralpha for alphageq0 here we review old nonextensive scaling in addition we propose a new hamiltonian scaled by 2fracn21alpha11alpha that explicitly includes symmetry of the lattice and dependence on the size n of the system the new approach enabled us to improve upon previous results a numerical test is conducted through monte carlo simulations in the model periodic boundary conditions are adopted to eliminate surface effects | [['there', 'are', 'problems', 'with', 'defining', 'the', 'thermodynamic', 'limit', 'of', 'systems', 'with', 'longrange', 'interactions', 'as', 'a', 'result', 'the', 'thermodynamic', 'behavior', 'of', 'these', 'types', 'of', 'systems', 'is', 'anomalous', 'in', 'the', 'present', 'work', 'we', 'review', 'some', 'concepts', 'from', 'both', 'extensive', 'and', 'nonextensive', 'thermodynamic', 'perspectives', 'we', 'use', 'a', 'model', 'whose', 'hamiltonian', 'takes', 'into', 'account', 'spins', 'ferromagnetically', 'coupled', 'in', 'a', 'chain', 'via', 'a', 'power', 'law', 'that', 'decays', 'at', 'large', 'interparticle', 'distance', 'r', 'as', '1ralpha', 'for', 'alphageq0', 'here', 'we', 'review', 'old', 'nonextensive', 'scaling', 'in', 'addition', 'we', 'propose', 'a', 'new', 'hamiltonian', 'scaled', 'by', '2fracn21alpha11alpha', 'that', 'explicitly', 'includes', 'symmetry', 'of', 'the', 'lattice', 'and', 'dependence', 'on', 'the', 'size', 'n', 'of', 'the', 'system', 'the', 'new', 'approach', 'enabled', 'us', 'to', 'improve', 'upon', 'previous', 'results', 'a', 'numerical', 'test', 'is', 'conducted', 'through', 'monte', 'carlo', 'simulations', 'in', 'the', 'model', 'periodic', 'boundary', 'conditions', 'are', 'adopted', 'to', 'eliminate', 'surface', 'effects']] | [-0.1254739700063811, 0.14820055626122688, -0.10409503299051448, 0.03647542449897785, -0.03677076307699589, -0.13931002145759144, 0.05870751434537981, 0.3388880452953447, -0.24304374518517152, -0.2864633783333956, 0.04895283295807982, -0.31910559724879806, -0.13560360271126537, 0.1873727158706327, 0.012709539173577065, 0.06753720798358125, 0.04691401995452387, -0.011317262745504373, -0.09145531994710795, -0.21004716639540025, 0.31153888906747423, 0.048420769971256196, 0.24042872896880135, 0.06597073756060318, 0.08135027229379778, 0.012968422350459696, 0.01400355241940658, 0.0659771300099538, -0.19866075964622232, 0.08022733790978537, 0.17685191661270014, 0.0632722725342483, 0.2504545723025064, -0.44089269107977924, -0.22599553680957707, 0.0685603998048245, 0.15542115697539166, 0.12877613499312474, -0.03032783037699283, -0.26832350146872713, 0.03404092974260561, -0.2099353853627143, -0.1402121039021662, -0.11758690392528486, -0.0030271522980883604, 0.03990149716286451, -0.27048841924091477, 0.09103758731870946, 0.06721162376925349, 0.08445163833719671, -0.05341849246419462, -0.11080603368310749, 0.025766205949414717, 0.11725192944627759, 0.055669540022079717, -0.012916605832069217, 0.11096009584336325, -0.07696535945624898, -0.12040088622685508, 0.37404462391216503, -0.05116024366895059, -0.20399866916967513, 0.2098267463393005, -0.10662859481150158, -0.16485871387561574, 0.08928071206463571, 0.18691666280724725, 0.10484534050837988, -0.19348655978770912, 0.12412956860038991, -0.011133366326549392, 0.1617077973730778, -0.022681391734937977, 0.020692625202070502, 0.20592051900265024, 0.18782807640465243, 0.014378993463863555, 0.18190571724759289, -0.059721266046534924, -0.1542184793677433, -0.3179797540747918, -0.126421657579958, -0.20522344302161968, 0.06103336500691375, -0.09551559825567003, -0.15299119929173835, 0.34894725652341557, 0.21321373122383447, 0.18807052128731197, 0.054749215616935624, 0.2529541390345789, 0.10239359184476386, 0.05685115226061273, 0.04665363159842957, 0.20659833210909956, 0.13372971618870147, 0.08357759846612475, -0.24571793992597527, 0.013085642437401571, 0.08224989308562494] |
710.5645 | The SEGUE Stellar Parameter Pipeline. I. Description and Initial
Validation Tests | We describe the development and implementation of the SEGUE (Sloan Extension
for Galactic Exploration and Understanding) Stellar Parameter Pipeline (SSPP).
The SSPP derives, using multiple techniques, radial velocities and the
fundamental stellar atmospheric parameters (effective temperature, surface
gravity, and metallicity) for AFGK-type stars, based on medium-resolution
spectroscopy and $ugriz$ photometry obtained during the course of the original
Sloan Digital Sky Survey (SDSS-I) and its Galactic extension (SDSS-II/SEGUE).
The SSPP also provides spectral classification for a much wider range of stars,
including stars with temperatures outside of the window where atmospheric
parameters can be estimated with the current approaches. This is Paper I in a
series of papers on the SSPP; it provides an overview of the SSPP, and initial
tests of its performance using multiple data sets. Random and systematic errors
are critically examined for the current version of the SSPP, which has been
used for the sixth public data release of the SDSS (DR-6).
| astro-ph | we describe the development and implementation of the segue sloan extension for galactic exploration and understanding stellar parameter pipeline sspp the sspp derives using multiple techniques radial velocities and the fundamental stellar atmospheric parameters effective temperature surface gravity and metallicity for afgktype stars based on mediumresolution spectroscopy and ugriz photometry obtained during the course of the original sloan digital sky survey sdssi and its galactic extension sdssiisegue the sspp also provides spectral classification for a much wider range of stars including stars with temperatures outside of the window where atmospheric parameters can be estimated with the current approaches this is paper i in a series of papers on the sspp it provides an overview of the sspp and initial tests of its performance using multiple data sets random and systematic errors are critically examined for the current version of the sspp which has been used for the sixth public data release of the sdss dr6 | [['we', 'describe', 'the', 'development', 'and', 'implementation', 'of', 'the', 'segue', 'sloan', 'extension', 'for', 'galactic', 'exploration', 'and', 'understanding', 'stellar', 'parameter', 'pipeline', 'sspp', 'the', 'sspp', 'derives', 'using', 'multiple', 'techniques', 'radial', 'velocities', 'and', 'the', 'fundamental', 'stellar', 'atmospheric', 'parameters', 'effective', 'temperature', 'surface', 'gravity', 'and', 'metallicity', 'for', 'afgktype', 'stars', 'based', 'on', 'mediumresolution', 'spectroscopy', 'and', 'ugriz', 'photometry', 'obtained', 'during', 'the', 'course', 'of', 'the', 'original', 'sloan', 'digital', 'sky', 'survey', 'sdssi', 'and', 'its', 'galactic', 'extension', 'sdssiisegue', 'the', 'sspp', 'also', 'provides', 'spectral', 'classification', 'for', 'a', 'much', 'wider', 'range', 'of', 'stars', 'including', 'stars', 'with', 'temperatures', 'outside', 'of', 'the', 'window', 'where', 'atmospheric', 'parameters', 'can', 'be', 'estimated', 'with', 'the', 'current', 'approaches', 'this', 'is', 'paper', 'i', 'in', 'a', 'series', 'of', 'papers', 'on', 'the', 'sspp', 'it', 'provides', 'an', 'overview', 'of', 'the', 'sspp', 'and', 'initial', 'tests', 'of', 'its', 'performance', 'using', 'multiple', 'data', 'sets', 'random', 'and', 'systematic', 'errors', 'are', 'critically', 'examined', 'for', 'the', 'current', 'version', 'of', 'the', 'sspp', 'which', 'has', 'been', 'used', 'for', 'the', 'sixth', 'public', 'data', 'release', 'of', 'the', 'sdss', 'dr6']] | [-0.023665192350745202, 0.04905480555373229, -0.07415940031529435, 0.05624941376548621, -0.15012659407971848, -0.02253376859570703, 0.06865929216221575, 0.3586148748955419, -0.17074738650192176, -0.36703120841073894, 0.10980681526519719, -0.279198953151823, -0.03652558433522861, 0.30007623909942566, -0.06420153474975979, 0.023355565498763275, 0.1013747634967008, -0.0536325316864907, -0.062468673859632784, -0.3150665970706952, 0.3070283099708538, 0.05514369194786395, 0.2330590274455326, -0.05198842774393157, 0.09189872379835334, -0.024756667770505433, -0.1527282306312343, -0.015351398777396929, -0.19790064060700036, 0.08282824169483877, 0.2395509917709616, 0.19551743747996947, 0.23627671422136406, -0.29523852652599736, -0.20037448070342503, 0.03759379361065165, 0.18545753047651342, 0.10184532588032345, -0.07041413495016675, -0.27962745231606306, 0.056352479164037975, -0.178575635713435, -0.1427220189913867, -0.02524060417387274, 0.017239641809775944, 0.050546854719399445, -0.27024016484182567, 0.07671462560575756, 0.0018628569019417608, 0.19793674281287577, -0.12595274859829056, -0.1928287591124254, -0.05897271489243834, 0.126199477962068, -0.00932993923554257, 0.06810785902724151, 0.11644870969692185, -0.12910805615115792, -0.012708543672136242, 0.40873757616406486, -0.08884635175195252, -0.0450717217679466, 0.15387425544397576, -0.11428813001201038, -0.15162673521366332, 0.06182423992337839, 0.1923070291237485, 0.1059162926739983, -0.2299230094818819, 0.09136647712589512, 0.022902887942449702, 0.20760878590423795, 0.022896914546107573, 0.057676868095633486, 0.2607059764480519, 0.16961284524032605, 0.026570186327632157, 0.06333878542551952, -0.27734457153766867, -0.04305217670457017, -0.2567253150894577, -0.09598154769759745, -0.12811714426404044, -0.011478826127225353, -0.1280712152703575, -0.14497248498843082, 0.44526219903942077, 0.17032682379827865, 0.15184995693515144, 0.06293108000104586, 0.36347818995315223, 0.06350777526836722, 0.08996904716609166, 0.05110950747283266, 0.2756843868620513, 0.14094400257172604, 0.12378257012986127, -0.20953931576166782, 0.026322370594848068, 0.044087300557763345] |
710.5646 | On the Hopf Algebra of Rooted Trees | We find a formula to compute the number of the generators, which generate the
$n$-filtered space of Hopf algebra of rooted trees, i.e. the number of
equivalent classes of rooted trees with weight $n$. Applying Hopf algebra of
rooted trees, we show that the analogue of Andruskiewitsch and Schneider's
Conjecture is not true. The Hopf algebra of rooted trees and the enveloping
algebra of the Lie algebra of rooted trees are two important examples of Hopf
algebras. We give their representation and show that they have not any nonzero
integrals. We structure their graded Drinfeld doubles and show that they are
local quasitriangular Hopf algebras.
| math-ph math.MP math.QA | we find a formula to compute the number of the generators which generate the nfiltered space of hopf algebra of rooted trees ie the number of equivalent classes of rooted trees with weight n applying hopf algebra of rooted trees we show that the analogue of andruskiewitsch and schneiders conjecture is not true the hopf algebra of rooted trees and the enveloping algebra of the lie algebra of rooted trees are two important examples of hopf algebras we give their representation and show that they have not any nonzero integrals we structure their graded drinfeld doubles and show that they are local quasitriangular hopf algebras | [['we', 'find', 'a', 'formula', 'to', 'compute', 'the', 'number', 'of', 'the', 'generators', 'which', 'generate', 'the', 'nfiltered', 'space', 'of', 'hopf', 'algebra', 'of', 'rooted', 'trees', 'ie', 'the', 'number', 'of', 'equivalent', 'classes', 'of', 'rooted', 'trees', 'with', 'weight', 'n', 'applying', 'hopf', 'algebra', 'of', 'rooted', 'trees', 'we', 'show', 'that', 'the', 'analogue', 'of', 'andruskiewitsch', 'and', 'schneiders', 'conjecture', 'is', 'not', 'true', 'the', 'hopf', 'algebra', 'of', 'rooted', 'trees', 'and', 'the', 'enveloping', 'algebra', 'of', 'the', 'lie', 'algebra', 'of', 'rooted', 'trees', 'are', 'two', 'important', 'examples', 'of', 'hopf', 'algebras', 'we', 'give', 'their', 'representation', 'and', 'show', 'that', 'they', 'have', 'not', 'any', 'nonzero', 'integrals', 'we', 'structure', 'their', 'graded', 'drinfeld', 'doubles', 'and', 'show', 'that', 'they', 'are', 'local', 'quasitriangular', 'hopf', 'algebras']] | [-0.22957559141258782, 0.12335337088174689, -0.05652347260799546, 0.10514391396897665, -0.1833608501160947, -0.11502794543048367, -0.01044748656791993, 0.35619621344197255, -0.3822168660923265, -0.2299336513477521, 0.14154757376616964, -0.21610918048939382, -0.22668844164358093, 0.1844817388102036, -0.12487648526775257, -0.09235124279691193, 0.1417607035546098, 0.1671321710477619, -0.07630421354238373, -0.28227702973974655, 0.45181673764286995, 0.00984199328545051, 0.20969277049880475, -0.00891730262306877, 0.15396910303164846, 0.025761580076785043, -0.05255891756118777, 0.036412929618773675, -0.16209426925112125, 0.08274197701114015, 0.3149315849161492, 0.10682242992334068, 0.16073394704681748, -0.36397201978028393, -0.03689569449544741, 0.2017624329086035, 0.18094887695042416, 0.08533144530128293, -0.004702303927982799, -0.2267170590079891, 0.09220734314294532, -0.2506367355101527, -0.07194729775297813, -0.08638902536432187, 0.0838109629157071, 0.0026211883607454812, -0.2136223497335987, 0.0014943626906292944, 0.12024303493448175, 0.12852131449975646, -0.06555299434918337, -0.1271496547672611, -0.18330109024939772, 0.11299979357639901, -0.11524167316831434, 0.009878035106409628, 0.10959654077529334, -0.09631293106884606, -0.2522305304077096, 0.3129670428147969, 0.059176915719245486, -0.19894222159592362, 0.13154450847762816, -0.22984993898381406, -0.21431606275347384, 0.07921633273900415, 0.034217818384954274, 0.12916667335845816, -0.0007350584408134007, 0.17496979966213425, -0.16214594236897448, -0.027464462041210096, 0.11848983363037965, -0.01523384382464708, 0.15350843504823458, 0.06781342222641867, 0.026736769415527724, 0.15700780045097837, 0.06011284610632664, -0.03366800556138445, -0.3008648425054092, -0.17303064551491004, -0.07595091338197772, 0.08220279254405446, -0.16263292689948755, -0.27579485999796394, 0.38385600993821684, 0.19246699263413364, 0.19692718758820915, 0.1764288933493215, 0.14072735802843594, 0.10652852567503802, 0.17386503745533097, 0.0913277371168638, 0.11430200409645644, 0.3274596284967489, -0.04238915959229836, -0.10129458532117916, -0.042030457011815785, 0.2620770590415654] |
710.5647 | Weak low-energy couplings from topological zero-mode wavefunctions | We discuss a new method to determine the low-energy couplings of the $\Delta
S=1$ weak Hamiltonian in the $\epsilon$-regime. It relies on a matching of the
topological poles in $1/m^2$ of three-point functions of two pseudoscalar
densities and a four-fermion operator computed in lattice QCD, to the same
observables in the Chiral Effective Theory. We present the results of a NLO
computation in chiral perturbation theory of these correlation functions
together with some preliminary numerical results.
| hep-lat | we discuss a new method to determine the lowenergy couplings of the delta s1 weak hamiltonian in the epsilonregime it relies on a matching of the topological poles in 1m2 of threepoint functions of two pseudoscalar densities and a fourfermion operator computed in lattice qcd to the same observables in the chiral effective theory we present the results of a nlo computation in chiral perturbation theory of these correlation functions together with some preliminary numerical results | [['we', 'discuss', 'a', 'new', 'method', 'to', 'determine', 'the', 'lowenergy', 'couplings', 'of', 'the', 'delta', 's1', 'weak', 'hamiltonian', 'in', 'the', 'epsilonregime', 'it', 'relies', 'on', 'a', 'matching', 'of', 'the', 'topological', 'poles', 'in', '1m2', 'of', 'threepoint', 'functions', 'of', 'two', 'pseudoscalar', 'densities', 'and', 'a', 'fourfermion', 'operator', 'computed', 'in', 'lattice', 'qcd', 'to', 'the', 'same', 'observables', 'in', 'the', 'chiral', 'effective', 'theory', 'we', 'present', 'the', 'results', 'of', 'a', 'nlo', 'computation', 'in', 'chiral', 'perturbation', 'theory', 'of', 'these', 'correlation', 'functions', 'together', 'with', 'some', 'preliminary', 'numerical', 'results']] | [-0.16423722237691676, 0.1704440571637334, -0.10674626209871158, 0.10247688936559778, -0.028263058231555317, -0.06190566104334338, 0.03625170736402077, 0.3506413096513011, -0.17186057101935148, -0.21026585117521646, 0.021542722758615702, -0.3152967708945078, -0.14645028527899595, 0.11224057981254239, 0.06630228013818851, 0.11476228579168062, 0.024798263432641857, 0.05180405840081604, -0.16824237578609763, -0.21902740205098925, 0.32804905962640124, -0.027694981465557295, 0.19119326618353003, 0.182211222329275, 0.04064885584490472, 0.015731717257662432, -0.04223805490734154, -0.016274622813063234, -0.15757013862266353, 0.14168533060307564, 0.20522929585881924, 0.028675148741489177, 0.16191011817978793, -0.4119151626272421, -0.15933680331248692, 0.02213312268845345, 0.10431184116015702, 0.14858577053344466, -0.0005994610791707313, -0.28040542865270063, 0.08386357041615013, -0.18348017981962153, -0.1848994279586661, -0.14231233591654976, -0.051375080858920945, -0.014058760134503245, -0.31771132913663197, 0.07497514244651508, -0.04408877306176644, 0.03675265008534648, -0.026588828621530218, -0.17002907129445752, -0.028334551729801063, 0.09115773396517493, 0.08017396575795781, 0.07723776054397029, 0.09103813980657019, -0.20695178234631098, -0.14824970337289606, 0.38000693941782965, -0.11895193977244689, -0.20778690930455923, 0.12080941447914627, -0.18669137923586132, -0.21115688279908346, 0.08260305996334769, 0.1556678596320317, 0.13677816401774945, -0.15146027343641771, 0.14076703497573217, -0.03995800724155024, 0.13082407307075827, 0.03417008686320562, 0.04926081621516986, 0.17413104538756766, 0.11285021673508086, 0.05596499275538678, 0.0976350205448015, -0.008708843088243157, -0.10848655241639599, -0.40791425993053343, -0.08318476706106019, -0.18927476463814905, 0.04512267647997329, -0.15352907255395334, -0.20093977852650968, 0.4399228892534187, 0.17318164394849814, 0.23730141751615233, 0.045036820069837724, 0.2784159669750615, 0.15428844465580033, 0.09959974978119135, 0.025726026738993824, 0.2792362164124681, 0.20363324490915002, 0.0662759421025648, -0.2784902879870252, -0.11100060821167733, 0.18066253872759835] |
710.5648 | The open mapping theorem and the fundamental theorem of algebra | This note is devoted to two classical theorems: the open mapping theorem for
analytic functions (OMT) and the fundamental theorem of algebra (FTA). We
present a new proof of the first theorem, and then derive the second one by a
simple topological argument. The proof is elementary in nature and does not use
any kind of integration (neither complex nor real). In addition, it is also
independent of the fact that the roots of an analytic function are isolated.
The proof is based on either the Banach or Brouwer fixed point theorems. In
particular, this shows that one can obtain a proof of the FTA (albeit indirect)
which is based on the Brouwer fixed point theorem, an aim which was not reached
in the past and later the possibility to achieve it was questioned. We close
this note with a simple generalization of the FTA. A short review of certain
issues related to the OMT and the FTA is also included.
| math.CV math.HO | this note is devoted to two classical theorems the open mapping theorem for analytic functions omt and the fundamental theorem of algebra fta we present a new proof of the first theorem and then derive the second one by a simple topological argument the proof is elementary in nature and does not use any kind of integration neither complex nor real in addition it is also independent of the fact that the roots of an analytic function are isolated the proof is based on either the banach or brouwer fixed point theorems in particular this shows that one can obtain a proof of the fta albeit indirect which is based on the brouwer fixed point theorem an aim which was not reached in the past and later the possibility to achieve it was questioned we close this note with a simple generalization of the fta a short review of certain issues related to the omt and the fta is also included | [['this', 'note', 'is', 'devoted', 'to', 'two', 'classical', 'theorems', 'the', 'open', 'mapping', 'theorem', 'for', 'analytic', 'functions', 'omt', 'and', 'the', 'fundamental', 'theorem', 'of', 'algebra', 'fta', 'we', 'present', 'a', 'new', 'proof', 'of', 'the', 'first', 'theorem', 'and', 'then', 'derive', 'the', 'second', 'one', 'by', 'a', 'simple', 'topological', 'argument', 'the', 'proof', 'is', 'elementary', 'in', 'nature', 'and', 'does', 'not', 'use', 'any', 'kind', 'of', 'integration', 'neither', 'complex', 'nor', 'real', 'in', 'addition', 'it', 'is', 'also', 'independent', 'of', 'the', 'fact', 'that', 'the', 'roots', 'of', 'an', 'analytic', 'function', 'are', 'isolated', 'the', 'proof', 'is', 'based', 'on', 'either', 'the', 'banach', 'or', 'brouwer', 'fixed', 'point', 'theorems', 'in', 'particular', 'this', 'shows', 'that', 'one', 'can', 'obtain', 'a', 'proof', 'of', 'the', 'fta', 'albeit', 'indirect', 'which', 'is', 'based', 'on', 'the', 'brouwer', 'fixed', 'point', 'theorem', 'an', 'aim', 'which', 'was', 'not', 'reached', 'in', 'the', 'past', 'and', 'later', 'the', 'possibility', 'to', 'achieve', 'it', 'was', 'questioned', 'we', 'close', 'this', 'note', 'with', 'a', 'simple', 'generalization', 'of', 'the', 'fta', 'a', 'short', 'review', 'of', 'certain', 'issues', 'related', 'to', 'the', 'omt', 'and', 'the', 'fta', 'is', 'also', 'included']] | [-0.10783757953702108, 0.04985782833533471, -0.16203672559758336, 0.09029733945444944, -0.11409378511345257, -0.11819230712753553, 0.08250915822110237, 0.30202267512748515, -0.26017571756506325, -0.2371648263984493, 0.1537386386124533, -0.22656110380284533, -0.17959545898252682, 0.22918710299993153, -0.11382739586026772, -0.009784786198403894, 0.04261417242825633, 0.067229685210189, -0.07489851270263627, -0.2508612325970338, 0.3525826405236347, 0.013021093995674797, 0.23718681595409694, 0.14156183208662854, 0.1054852962441835, 0.0491159432075964, -0.0660497962688067, -0.0281537482406516, -0.13399710049550845, 0.14055620462442778, 0.23057374118115775, 0.11378762814514043, 0.2866026197461793, -0.3754461635112392, -0.12920773294551866, 0.13845864773051153, 0.11347890836230091, 0.11049022404216692, -0.042317678115000916, -0.23653508546640692, 0.12844638284281334, -0.13595054199433196, -0.1794561358640167, -0.043835023979176276, 0.016851996485236453, 0.011507446085166488, -0.2119461559048443, 0.02975494086544278, 0.18060914803041805, 0.07720327962188828, -0.0321930860406401, -0.07634114603344236, 0.028693225350439177, 0.08575383023509281, 0.022472043451563867, 0.07158097581828002, 0.06975212653879054, -0.05520676742654918, -0.14115815969785642, 0.33751586953652385, -0.02480897074276061, -0.2150813166156226, 0.2130556574050823, -0.1105062450305414, -0.18882182084012383, 0.07740461515690784, 0.08136490126493277, 0.14508638857800213, -0.14051419683957692, 0.11641774099914542, -0.10084523727411623, 0.1717654990407592, 0.07421199234364473, 0.007586710105841019, 0.17048389578573636, 0.13655755043995815, 0.08212717168426477, 0.13574299017496708, 0.0027517836587214323, -0.08885297158108273, -0.3548276833727123, -0.18332563832572876, -0.2266087023821885, 0.09292112521782751, -0.05444714783859708, -0.1964241658967937, 0.3825093242831482, 0.13517191334915354, 0.16127667183299427, 0.07193378846288329, 0.2851498273912794, 0.1639716746864019, 0.04709516727996076, 0.04848832930073519, 0.24295436319900873, 0.15345612903825523, 0.0815029354499919, -0.1031890651928796, 0.04674133261006256, 0.1478496460238275] |
710.5649 | Fitting DVCS at NLO and beyond | We outline the twist-two analysis of deeply virtual Compton scattering
(DVCS)within the conformal partial wave expansion of the amplitude, represented
as a Mellin--Barnes integral. The complete next-to-leading order results,
including evolution, are obtained in the MS and a conformal factorization
scheme. Within the latter, exploiting conformal symmetry, the radiative
corrections are evaluated up to next-to-next-to-leading order. Using a new
proposed parameterization for GPDs, we study the convergence of perturbation
theory and demonstrate for H1 and ZEUS measurements that our formalism is
suitable for a fitting procedure of DVCS observables. We comment on a recent
claim of a breakdown of collinear factorization and show that a Regge-inspired
Q^2 scaling law is ruled out by small x_Bj DVCS data.
| hep-ph hep-ex | we outline the twisttwo analysis of deeply virtual compton scattering dvcswithin the conformal partial wave expansion of the amplitude represented as a mellinbarnes integral the complete nexttoleading order results including evolution are obtained in the ms and a conformal factorization scheme within the latter exploiting conformal symmetry the radiative corrections are evaluated up to nexttonexttoleading order using a new proposed parameterization for gpds we study the convergence of perturbation theory and demonstrate for h1 and zeus measurements that our formalism is suitable for a fitting procedure of dvcs observables we comment on a recent claim of a breakdown of collinear factorization and show that a reggeinspired q2 scaling law is ruled out by small x_bj dvcs data | [['we', 'outline', 'the', 'twisttwo', 'analysis', 'of', 'deeply', 'virtual', 'compton', 'scattering', 'dvcswithin', 'the', 'conformal', 'partial', 'wave', 'expansion', 'of', 'the', 'amplitude', 'represented', 'as', 'a', 'mellinbarnes', 'integral', 'the', 'complete', 'nexttoleading', 'order', 'results', 'including', 'evolution', 'are', 'obtained', 'in', 'the', 'ms', 'and', 'a', 'conformal', 'factorization', 'scheme', 'within', 'the', 'latter', 'exploiting', 'conformal', 'symmetry', 'the', 'radiative', 'corrections', 'are', 'evaluated', 'up', 'to', 'nexttonexttoleading', 'order', 'using', 'a', 'new', 'proposed', 'parameterization', 'for', 'gpds', 'we', 'study', 'the', 'convergence', 'of', 'perturbation', 'theory', 'and', 'demonstrate', 'for', 'h1', 'and', 'zeus', 'measurements', 'that', 'our', 'formalism', 'is', 'suitable', 'for', 'a', 'fitting', 'procedure', 'of', 'dvcs', 'observables', 'we', 'comment', 'on', 'a', 'recent', 'claim', 'of', 'a', 'breakdown', 'of', 'collinear', 'factorization', 'and', 'show', 'that', 'a', 'reggeinspired', 'q2', 'scaling', 'law', 'is', 'ruled', 'out', 'by', 'small', 'x_bj', 'dvcs', 'data']] | [-0.10669205143068243, 0.09889280445600764, -0.14968477728664234, 0.11949744188941308, -0.0759587861147934, -0.03732128664128611, 0.02644427514390153, 0.34409796719535674, -0.1911234091726485, -0.20111851280169754, 0.057529588963571486, -0.29589837812015723, -0.10190788827483253, 0.169018434593454, 0.07349718405246927, 0.12956787562619992, 0.03551774973788395, -0.02691061761037543, -0.11944043036180965, -0.22546746354281164, 0.36059350000517765, 0.032430833769592875, 0.25242325286220374, 0.11992199333978752, 0.11830091038879392, 0.07067384426321449, -0.09561371648330884, -0.01953799353414697, -0.12326795156658246, 0.11106755065627331, 0.2528499051986728, 0.06571604184212228, 0.15838391114235054, -0.38032619655132294, -0.15475942226576395, -0.004908754863647808, 0.15216141468885452, 0.10922995246726024, -0.011828708686215546, -0.2896021032256299, 0.08585695800740786, -0.22407614271124376, -0.19095857124093213, -0.1959722626528799, -0.0200697701857907, -0.036792246295653024, -0.33157326915333496, 0.06870058282069734, 0.010064113760720295, 0.023204874217205136, -0.015225069272203436, -0.11536478578385993, 0.01143549168121134, 0.048045269988380886, 0.07153496055879854, 0.09376334659915803, 0.11527232264453577, -0.15573887441885367, -0.15330468153918225, 0.37204486285818034, -0.05640821914381251, -0.16753483202372646, 0.05757116391684796, -0.21631605483607613, -0.16811141617403463, 0.13975340183342583, 0.17997276204927215, 0.13354700229338679, -0.16797080579021112, 0.15997868493512465, -0.02029417318496191, 0.15364596081078694, 0.10111496592911988, -0.0020698897725228093, 0.1139323267371169, 0.17615959969357234, -0.05853378231605065, 0.0917219715654561, -0.08376372020876292, -0.10589720477382171, -0.4373321984734001, -0.10452230626711313, -0.15013077667239924, 0.08275080283695796, -0.13692878590016586, -0.11660056395038705, 0.315796780752329, 0.11830250452012164, 0.2176896628646726, 0.09686484760283653, 0.32919282846730846, 0.15918032066587456, 0.10748824468765665, 0.06990798095197032, 0.24940506551928562, 0.1708011324396999, 0.09365406528753549, -0.24723189153130457, -0.02380513783508173, 0.10477685475629626] |
710.565 | $\eta$ and $\eta'$ mesons in the Dyson-Schwinger approach using a
generalization of the Witten-Veneziano relation | The description of the $\eta$ and $\eta^\prime$ mesons in the Dyson-Schwinger
approach has relied on the Witten-Veneziano relation. The present paper
explores the consequences of using instead its generalization recently proposed
by Shore. On the examples of three different model interactions, we find that
irrespective of the concrete model dynamics, our Dyson-Schwinger approach is
phenomenologically more successful in conjunction with the standard
Witten-Veneziano relation than with the proposed generalization valid in all
orders in the $1/N_c$ expansion.
| hep-ph nucl-th | the description of the eta and etaprime mesons in the dysonschwinger approach has relied on the wittenveneziano relation the present paper explores the consequences of using instead its generalization recently proposed by shore on the examples of three different model interactions we find that irrespective of the concrete model dynamics our dysonschwinger approach is phenomenologically more successful in conjunction with the standard wittenveneziano relation than with the proposed generalization valid in all orders in the 1n_c expansion | [['the', 'description', 'of', 'the', 'eta', 'and', 'etaprime', 'mesons', 'in', 'the', 'dysonschwinger', 'approach', 'has', 'relied', 'on', 'the', 'wittenveneziano', 'relation', 'the', 'present', 'paper', 'explores', 'the', 'consequences', 'of', 'using', 'instead', 'its', 'generalization', 'recently', 'proposed', 'by', 'shore', 'on', 'the', 'examples', 'of', 'three', 'different', 'model', 'interactions', 'we', 'find', 'that', 'irrespective', 'of', 'the', 'concrete', 'model', 'dynamics', 'our', 'dysonschwinger', 'approach', 'is', 'phenomenologically', 'more', 'successful', 'in', 'conjunction', 'with', 'the', 'standard', 'wittenveneziano', 'relation', 'than', 'with', 'the', 'proposed', 'generalization', 'valid', 'in', 'all', 'orders', 'in', 'the', '1n_c', 'expansion']] | [-0.057046310581545065, 0.08432704037775031, -0.1212856114408086, 0.07625988288631348, -0.07923697236949553, -0.05585113854159589, 0.04931637769196086, 0.2876696610799083, -0.18043371457485602, -0.27516068853195996, 0.011889424066168146, -0.2870497933117213, -0.16420441327689142, 0.17226870292071977, -0.008613143309757307, 0.058113164485389876, 0.030992594003290325, 0.05076007407110233, -0.08541666209250205, -0.25859593666557756, 0.34729258181503064, 0.017138845867828115, 0.2953700432705076, 0.07198892218701831, 0.0913757520074678, 0.018740504345094614, -0.029860915797581145, -0.007566941974612025, -0.12942903928578509, 0.11861512312278538, 0.17409049826916065, 0.1021693329774327, 0.2281044255276876, -0.3991434187446902, -0.2180218368272793, 0.06039664683282956, 0.14882383548787662, 0.10777672677634997, -0.023543941287373724, -0.2724116803086423, 0.08608195504669536, -0.24353520267389037, -0.12667905712838878, -0.1332964797855004, -0.002360144557503911, -0.052231412526074945, -0.23629547775323903, 0.0725905852416506, 0.027858347598729388, 0.03101639246738927, -0.03716244110263062, -0.16858450179411608, 0.01721025025472045, 0.058404012038916736, 0.0863190650903656, 0.027500386120049986, 0.040074100409477176, -0.16089238520324617, -0.1404636131309263, 0.42920330515155547, -0.06715093268472369, -0.20075960740350285, 0.19765855488065, -0.13287734436838852, -0.13564800675474592, 0.04973109766792554, 0.113903697568004, 0.12508277592624162, -0.17282298939036472, 0.12182840051102246, -0.08158278540260606, 0.1269441828276817, 0.06933840086030496, 0.02590754862221611, 0.15130511344737047, 0.22952620864108012, -0.054892687683368656, 0.11360315815243241, -0.015052660531666758, -0.15191458957269788, -0.32741128828666816, -0.09782231287038945, -0.13054406741035304, -0.008369658093947869, -0.12168635695234588, -0.08493882748479774, 0.41901121161539445, 0.1996458698451132, 0.2097519553907506, 0.07825058747790511, 0.30964063207147186, 0.12063082182544053, 0.07101713877788128, 0.04996071856880149, 0.2975111867651924, 0.14831310650333762, 0.09757872880134102, -0.2621583298314363, 0.04878049230130462, 0.13364808912110793] |
710.5651 | A proof that tidal heating in a synchronous rotation is always larger
than in an asymptotic nonsynchronous rotation state | In a recent paper, Wisdom (2007, Icarus, in press) derived concise
expressions for the rate of tidal dissipation in a synchronously rotating body
for arbitrary orbital eccentricity and obliquity. He provided numerical
evidence than the derived rate is always larger than in an asymptotic
nonsynchronous rotation state at any obliquity and eccentricity. Here, I
present a simple mathematical proof of this conclusion and show that this
result still holds for any spin-orbit resonance.
| astro-ph | in a recent paper wisdom 2007 icarus in press derived concise expressions for the rate of tidal dissipation in a synchronously rotating body for arbitrary orbital eccentricity and obliquity he provided numerical evidence than the derived rate is always larger than in an asymptotic nonsynchronous rotation state at any obliquity and eccentricity here i present a simple mathematical proof of this conclusion and show that this result still holds for any spinorbit resonance | [['in', 'a', 'recent', 'paper', 'wisdom', '2007', 'icarus', 'in', 'press', 'derived', 'concise', 'expressions', 'for', 'the', 'rate', 'of', 'tidal', 'dissipation', 'in', 'a', 'synchronously', 'rotating', 'body', 'for', 'arbitrary', 'orbital', 'eccentricity', 'and', 'obliquity', 'he', 'provided', 'numerical', 'evidence', 'than', 'the', 'derived', 'rate', 'is', 'always', 'larger', 'than', 'in', 'an', 'asymptotic', 'nonsynchronous', 'rotation', 'state', 'at', 'any', 'obliquity', 'and', 'eccentricity', 'here', 'i', 'present', 'a', 'simple', 'mathematical', 'proof', 'of', 'this', 'conclusion', 'and', 'show', 'that', 'this', 'result', 'still', 'holds', 'for', 'any', 'spinorbit', 'resonance']] | [-0.16105204915918078, 0.1192849961459104, -0.09349243865310125, 0.05002134416909403, -0.08923447576083549, -0.11212294808372039, 0.05273137721137386, 0.31818910117886245, -0.17495865813673359, -0.26538701794327124, 0.04447288185434595, -0.2041011496498058, -0.1412711496311814, 0.2598117223928032, -0.12381445262453532, -0.01173981636354368, 0.14418533788866375, 0.006855065156131574, -0.04004453394676827, -0.21801153715853006, 0.2299984232618231, 0.05418233521767471, 0.16722736691207662, 0.01385244859816277, 0.07424559835854867, 0.016868467429933483, 0.0208751824365495, -0.02966952461698284, -0.2335045773394235, 0.06379297192763435, 0.21240538978400603, 0.10980108020546502, 0.24658319028732303, -0.4173333988052933, -0.16677065909368127, 0.038806643840946155, 0.13724891239241377, 0.18763180087282233, -0.08134772995174289, -0.2330856853203006, 0.058848519206735984, -0.275302745835626, -0.2061679843711118, -0.04677929716465408, 0.17202074917620175, -0.038486780420149844, -0.3252557059446962, 0.12472285218186013, 0.1944817191481029, 0.16987465681788855, -0.1106174367556527, -0.14431059949278627, -0.023987058939233627, 0.02042272993784449, 0.0777835316082131, 0.07647020857117764, 0.07005992695076825, -0.07581983618629612, -0.06099021351857953, 0.34071611444631666, -0.07831848075506533, -0.17771384366213866, 0.1859120554545869, -0.2300278670473458, -0.110572807707709, 0.12412632471078063, 0.1582852056989931, 0.10167829052238941, -0.1449601284725821, 0.014215589249793645, -0.04851330756305475, 0.18177254314291968, 0.12412329732555233, 0.0001970178524210845, 0.2729153474282524, 0.09298769954260286, 0.05880429029898488, 0.047557621224694056, -0.08787435686139211, -0.06461074215372743, -0.2591342671251256, -0.12848680888698116, -0.21341046316179205, 0.0742040392910832, -0.05690819366890076, -0.09346978007879568, 0.3283604176759669, 0.15855800028737277, 0.1604398446132059, 0.10326030661594378, 0.33148897036093555, 0.11915634464064281, -0.026328894635024545, 0.1591590877864765, 0.33639783218298874, 0.12083175171115627, 0.09856218010289212, -0.22079931930894006, 0.12147532050236294, 0.01870711437388234] |
710.5652 | The structure of Green functions in quantum field theory with a general
state | In quantum field theory, the Green function is usually calculated as the
expectation value of the time-ordered product of fields over the vacuum. In
some cases, especially in degenerate systems, expectation values over general
states are required. The corresponding Green functions are essentially more
complex than in the vacuum, because they cannot be written in terms of standard
Feynman diagrams. Here, a method is proposed to determine the structure of
these Green functions and to derive nonperturbative equations for them. The
main idea is to transform the cumulants describing correlations into
interaction terms.
| hep-th | in quantum field theory the green function is usually calculated as the expectation value of the timeordered product of fields over the vacuum in some cases especially in degenerate systems expectation values over general states are required the corresponding green functions are essentially more complex than in the vacuum because they cannot be written in terms of standard feynman diagrams here a method is proposed to determine the structure of these green functions and to derive nonperturbative equations for them the main idea is to transform the cumulants describing correlations into interaction terms | [['in', 'quantum', 'field', 'theory', 'the', 'green', 'function', 'is', 'usually', 'calculated', 'as', 'the', 'expectation', 'value', 'of', 'the', 'timeordered', 'product', 'of', 'fields', 'over', 'the', 'vacuum', 'in', 'some', 'cases', 'especially', 'in', 'degenerate', 'systems', 'expectation', 'values', 'over', 'general', 'states', 'are', 'required', 'the', 'corresponding', 'green', 'functions', 'are', 'essentially', 'more', 'complex', 'than', 'in', 'the', 'vacuum', 'because', 'they', 'can', 'not', 'be', 'written', 'in', 'terms', 'of', 'standard', 'feynman', 'diagrams', 'here', 'a', 'method', 'is', 'proposed', 'to', 'determine', 'the', 'structure', 'of', 'these', 'green', 'functions', 'and', 'to', 'derive', 'nonperturbative', 'equations', 'for', 'them', 'the', 'main', 'idea', 'is', 'to', 'transform', 'the', 'cumulants', 'describing', 'correlations', 'into', 'interaction', 'terms']] | [-0.11093817924600134, 0.1296640271358093, -0.09353740834333796, 0.13298775185211661, -0.020880305525311765, -0.03747817063010595, -0.02713106925217831, 0.35127925977824215, -0.2344518645339586, -0.27025194761363114, 0.08345462163127562, -0.24264273546794626, -0.14566989762193344, 0.2208971689935734, -0.015485860174521804, 0.030649354036289336, 0.01583889794431904, 0.0493397618089109, -0.0986713103088055, -0.24491137371923616, 0.34485792446921165, -0.0050664124545948385, 0.2649548266310879, 0.04123871319709306, 0.06250916603219478, 0.024418087335590748, -0.021086619176129077, 0.015624758905242415, -0.053934601046382744, 0.1142664714982644, 0.25992802806022736, 0.09803695439737528, 0.23133141815196723, -0.40680116702346725, -0.16916893410714381, 0.11575666443504234, 0.1404171290391303, 0.12078620720545742, 0.04100663211129165, -0.2598225034654458, 0.06123438482470018, -0.15190997378692586, -0.14068708820497627, -0.10975483388818325, 0.004081876687160594, 0.01605549282790657, -0.2827198448463373, 0.060107060014567476, -0.03984333113445207, -0.009074322900677872, -0.062470053047674924, -0.1545172603194047, -0.016643915994172084, 0.133273736217079, 0.03172462622813405, 0.029920903001069785, 0.10930592786679243, -0.20439762744973314, -0.0887706750766077, 0.3891640502880228, -0.06831466398487349, -0.24529667951642198, 0.13817434708904872, -0.1904235645791793, -0.07965659312507574, 0.12264297909519457, 0.12293959745240615, 0.1493729005587545, -0.19610117933219992, 0.11665024410653364, 0.002988501233940429, 0.0997292712464572, 0.07478371857011572, 0.07774939473057067, 0.18467695929823405, 0.028115705775215903, 0.019243091685410114, 0.14252619353553994, 0.030569846689530174, -0.19287396946109514, -0.3499793359573851, -0.1810384473139222, -0.19370095813250604, 0.07020797380608472, -0.07335140276189393, -0.21683946783911992, 0.4190052140781537, 0.13484716615045167, 0.16413277926690073, 0.052609003428865146, 0.279504634004007, 0.229640426558809, 0.1327602624462204, 0.05001834991135377, 0.23399710983807032, 0.17270877786188762, 0.08369002300017375, -0.168729575623342, 0.04741516874042993, 0.10972156191363613] |
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