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711.4208 | Towards Structural Classification of Proteins based on Contact Map
Overlap | A multitude of measures have been proposed to quantify the similarity between
protein 3-D structure. Among these measures, contact map overlap (CMO)
maximization deserved sustained attention during past decade because it offers
a fine estimation of the natural homology relation between proteins. Despite
this large involvement of the bioinformatics and computer science community,
the performance of known algorithms remains modest. Due to the complexity of
the problem, they got stuck on relatively small instances and are not
applicable for large scale comparison. This paper offers a clear improvement
over past methods in this respect. We present a new integer programming model
for CMO and propose an exact B &B algorithm with bounds computed by solving
Lagrangian relaxation. The efficiency of the approach is demonstrated on a
popular small benchmark (Skolnick set, 40 domains). On this set our algorithm
significantly outperforms the best existing exact algorithms, and yet provides
lower and upper bounds of better quality. Some hard CMO instances have been
solved for the first time and within reasonable time limits. From the values of
the running time and the relative gap (relative difference between upper and
lower bounds), we obtained the right classification for this test. These
encouraging result led us to design a harder benchmark to better assess the
classification capability of our approach. We constructed a large scale set of
300 protein domains (a subset of ASTRAL database) that we have called Proteus
300. Using the relative gap of any of the 44850 couples as a similarity
measure, we obtained a classification in very good agreement with SCOP. Our
algorithm provides thus a powerful classification tool for large structure
databases.
| q-bio.QM | a multitude of measures have been proposed to quantify the similarity between protein 3d structure among these measures contact map overlap cmo maximization deserved sustained attention during past decade because it offers a fine estimation of the natural homology relation between proteins despite this large involvement of the bioinformatics and computer science community the performance of known algorithms remains modest due to the complexity of the problem they got stuck on relatively small instances and are not applicable for large scale comparison this paper offers a clear improvement over past methods in this respect we present a new integer programming model for cmo and propose an exact b b algorithm with bounds computed by solving lagrangian relaxation the efficiency of the approach is demonstrated on a popular small benchmark skolnick set 40 domains on this set our algorithm significantly outperforms the best existing exact algorithms and yet provides lower and upper bounds of better quality some hard cmo instances have been solved for the first time and within reasonable time limits from the values of the running time and the relative gap relative difference between upper and lower bounds we obtained the right classification for this test these encouraging result led us to design a harder benchmark to better assess the classification capability of our approach we constructed a large scale set of 300 protein domains a subset of astral database that we have called proteus 300 using the relative gap of any of the 44850 couples as a similarity measure we obtained a classification in very good agreement with scop our algorithm provides thus a powerful classification tool for large structure databases | [['a', 'multitude', 'of', 'measures', 'have', 'been', 'proposed', 'to', 'quantify', 'the', 'similarity', 'between', 'protein', '3d', 'structure', 'among', 'these', 'measures', 'contact', 'map', 'overlap', 'cmo', 'maximization', 'deserved', 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711.4209 | Coframe geometry and gravity | The possible extensions of GR for description of fermions on a curved space,
for supergravity and for loop quantum gravity require a richer set of 16
independent variables. These variables can be assembled in a coframe field,
i.e., a local set of four linearly independent 1-forms. In the ordinary
formulation, the coframe gravity does not have any connection to a specific
geometry even being constructed from the geometrical meaningful objects. A
geometrization of the coframe gravity is an aim of this paper. We construct a
complete class of the coframe connections which are linear in the first order
derivatives of the coframe field on an $n$ dimensional manifolds with and
without a metric. The subclasses of the torsion-free, metric-compatible and
flat connections are derived. We also study the behavior of the geometrical
structures under local transformations of the coframe. The remarkable fact is
an existence of a subclass of connections which are invariant when the
infinitesimal transformations satisfy the Maxwell-like system of equations. In
the framework of the coframe geometry construction, we propose a geometrical
action for the coframe gravity. It is similar to the Einstein-Hilbert action of
GR, but the scalar curvature is constructed from the general coframe
connection. We show that this geometric Lagrangian is equivalent to the coframe
Lagrangian up to a total derivative term. Moreover there is a family of coframe
connections which Lagrangian does not include the higher order terms at all. In
this case, the equivalence is complete.
| gr-qc | the possible extensions of gr for description of fermions on a curved space for supergravity and for loop quantum gravity require a richer set of 16 independent variables these variables can be assembled in a coframe field ie a local set of four linearly independent 1forms in the ordinary formulation the coframe gravity does not have any connection to a specific geometry even being constructed from the geometrical meaningful objects a geometrization of the coframe gravity is an aim of this paper we construct a complete class of the coframe connections which are linear in the first order derivatives of the coframe field on an n dimensional manifolds with and without a metric the subclasses of the torsionfree metriccompatible and flat connections are derived we also study the behavior of the geometrical structures under local transformations of the coframe the remarkable fact is an existence of a subclass of connections which are invariant when the infinitesimal transformations satisfy the maxwelllike system of equations in the framework of the coframe geometry construction we propose a geometrical action for the coframe gravity it is similar to the einsteinhilbert action of gr but the scalar curvature is constructed from the general coframe connection we show that this geometric lagrangian is equivalent to the coframe lagrangian up to a total derivative term moreover there is a family of coframe connections which lagrangian does not include the higher order terms at all in this case the equivalence is complete | [['the', 'possible', 'extensions', 'of', 'gr', 'for', 'description', 'of', 'fermions', 'on', 'a', 'curved', 'space', 'for', 'supergravity', 'and', 'for', 'loop', 'quantum', 'gravity', 'require', 'a', 'richer', 'set', 'of', '16', 'independent', 'variables', 'these', 'variables', 'can', 'be', 'assembled', 'in', 'a', 'coframe', 'field', 'ie', 'a', 'local', 'set', 'of', 'four', 'linearly', 'independent', '1forms', 'in', 'the', 'ordinary', 'formulation', 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711.421 | Signalizers and balance in groups of finite Morley rank | We show that a minimal counter example to the Cherlin-Zilber Algebraicity
Conjecture for simple groups of finite Morley rank has Prufer 2-rank at most
two. This article covers the signalizer functor theory and identifies the
groups of Lie rank at least three; leaving the uniqueness case analysis to
previous articles. This result signifies the end of the general methods used to
handle large groups; hereafter each individual group PSL$_2$, PSL$_3$, PSp$_4$,
and G$_2$ will require its own identification theorem.
| math.LO math.GR | we show that a minimal counter example to the cherlinzilber algebraicity conjecture for simple groups of finite morley rank has prufer 2rank at most two this article covers the signalizer functor theory and identifies the groups of lie rank at least three leaving the uniqueness case analysis to previous articles this result signifies the end of the general methods used to handle large groups hereafter each individual group psl_2 psl_3 psp_4 and g_2 will require its own identification theorem | [['we', 'show', 'that', 'a', 'minimal', 'counter', 'example', 'to', 'the', 'cherlinzilber', 'algebraicity', 'conjecture', 'for', 'simple', 'groups', 'of', 'finite', 'morley', 'rank', 'has', 'prufer', '2rank', 'at', 'most', 'two', 'this', 'article', 'covers', 'the', 'signalizer', 'functor', 'theory', 'and', 'identifies', 'the', 'groups', 'of', 'lie', 'rank', 'at', 'least', 'three', 'leaving', 'the', 'uniqueness', 'case', 'analysis', 'to', 'previous', 'articles', 'this', 'result', 'signifies', 'the', 'end', 'of', 'the', 'general', 'methods', 'used', 'to', 'handle', 'large', 'groups', 'hereafter', 'each', 'individual', 'group', 'psl_2', 'psl_3', 'psp_4', 'and', 'g_2', 'will', 'require', 'its', 'own', 'identification', 'theorem']] | [-0.15751067652403342, 0.02278428000410075, -0.09492051737177391, 0.06486069884864831, -0.12183622282917624, -0.17604786891780502, 0.03183099347644473, 0.3482872176153416, -0.2685136740086842, -0.24151409569789062, 0.1265568358690611, -0.2771257226719739, -0.10784123413409892, 0.1806798863924689, -0.1442942132737923, -0.06681114503457634, 0.025892669782526308, 0.12075329752784077, -0.05999239584636669, -0.3196436239575798, 0.3487298637447129, -0.03326732385903597, 0.25177309715624463, 0.05612693883043218, 0.09219414218292608, 0.030213988380047022, -0.09846628134368689, -0.019249913361310572, -0.11654171210083605, 0.11451518031853167, 0.3411144375825277, 0.090989147046847, 0.29976558230527034, -0.33668543945078727, -0.1291869794738225, 0.183350082928339, 0.11239900049305969, 0.07865274383069633, -0.024342662933004366, -0.22892153046287403, 0.13023917460148887, -0.2093819970863738, -0.20199805980717594, -0.04025835298340429, 0.01985449356921985, -0.035087122581899166, -0.17895107502238705, 0.03198768119872004, 0.08748421442162778, 0.10249274179895783, -0.0440577558021049, -0.13744376077733983, -0.012441366983505038, 0.13349234769362714, 0.04362527859191616, -0.018506184746450806, 0.08815813327492396, -0.04926312126993359, -0.12766905443428397, 0.3668000627696127, -0.026394638281267185, -0.1428467131933415, 0.21453399563135653, -0.16288782054461637, -0.26163120256954586, 0.11014317892274106, 0.08899620672470177, 0.16408518516812354, -0.05549060133612388, 0.11442779785161233, -0.135726792048421, 0.11184935600726635, 0.10768739656354724, -0.03873727826780319, 0.09813068142499436, 0.12469672701357827, 0.08766751958952322, 0.10234627047819751, 0.010309865770788936, 0.029059755803364052, -0.34210956556262906, -0.1505253976785469, -0.103680434431155, 0.07231499624964721, -0.08192370046351964, -0.165768056040533, 0.4173950563100251, 0.12054828185188983, 0.11826514231355546, 0.1422757242909064, 0.24227936436458455, 0.007915417397660869, 0.0741239900352258, 0.0634726643586507, 0.14294353453442454, 0.21359631668643228, -0.005646548971727297, -0.1255085760993617, -0.020192508144279968, 0.1947886496177548] |
711.4211 | The Penrose Lattice revisited | A recursive scheme relying on decagons is used to generate Penrose-like
sublattices or tilings. Its relevance for understanding structures with
non-crystallographic symmetry is discussed.
| cond-mat.other | a recursive scheme relying on decagons is used to generate penroselike sublattices or tilings its relevance for understanding structures with noncrystallographic symmetry is discussed | [['a', 'recursive', 'scheme', 'relying', 'on', 'decagons', 'is', 'used', 'to', 'generate', 'penroselike', 'sublattices', 'or', 'tilings', 'its', 'relevance', 'for', 'understanding', 'structures', 'with', 'noncrystallographic', 'symmetry', 'is', 'discussed']] | [-0.13488859372834364, 0.09473399806302041, -0.037691978349660836, 0.1270283491370113, -0.17707585163104037, -0.16987408274629465, 0.052849737384046115, 0.4591428867230813, -0.23213289429744086, -0.21123788536836705, 0.1326939302186171, -0.2595072529317501, -0.16027465001873983, 0.18135212993365712, -0.06131122214719653, -0.004174706218085096, -0.020558750567336876, -0.008627707914759716, -0.05504633975215256, -0.2727122948660205, 0.27830580189280835, -0.00426035529623429, 0.3584411086145944, 0.035752662108279765, 0.11220847796842766, 0.023153167761241395, 0.014297508440601328, -0.014784460654482245, -0.12564817474534115, 0.17530631009140052, 0.21471761529877162, 0.08046157384524122, 0.10410888795740902, -0.42225177166983485, -0.15450935605137298, 0.0663364405433337, 0.13463952365176132, 0.1282156323431991, -0.11106379956133121, -0.291968756976227, 0.0926967536797747, -0.10667672233345608, -0.16869904613122344, -0.146787170941631, -0.013372545596212149, 0.016545733275658375, -0.2679629825676481, 0.02660868549719453, 0.10980319099811216, 0.13907249613354603, -0.02720105256594252, -0.11923888698220253, -0.07589045927549402, 0.05117675401076364, -0.0025538037880323827, 0.010185221831003824, 0.0675732109278518, 0.0006967316076043062, -0.26214594991567236, 0.5163776303331057, 0.10769730961571138, -0.2878964838261406, 0.2065532385992507, -0.062970267686372, -0.15595540315068016, 0.10162157751619816, 0.13437851161385575, 0.10013543150853366, -0.06871671590488404, 0.09809732118931909, -0.03244057080398003, 0.1743728540992985, 0.10421384614892304, 0.025746453863879044, 0.22471937366450825, 0.1955660349340178, 0.07522657976369374, 0.1904704791183273, 0.01200466716545634, -0.09947351820301265, -0.21292770056364438, -0.09090789046604186, -0.1819717027246952, 0.016867377252007525, -0.0548776519135572, -0.18001056897143522, 0.36389556464609996, 0.09988769822909187, 0.1803521315935844, -0.02239076086940865, 0.19555873757538697, 0.06859135973112036, 0.14012624433962628, -0.026698615945254762, 0.07735589783017834, 0.16651223452451328, -0.012124622551103434, -0.16237368570485464, 0.05667626628807435, 0.2486751290562097] |
711.4212 | Quantum cloning a pair of orthogonally polarized photons with linear
optics | A linear optical probabilistic scheme for the optimal cloning of a pair of
orthogonally-polarized photons is devised, based on single- and two-photon
interferences. It consists in a partial symmetrization device, realized with a
modified unbalanced Mach-Zehnder interferometer, followed by two independent
Hong-Ou-Mandel interferometers. This scheme has the advantage that it enables
quantum cloning without the need for stimulated amplification in a nonlinear
medium. It can also be modified so to make an optical two-qubit partial SWAP
gate, thereby providing a potentially useful tool to linear optics quantum
computing.
| quant-ph | a linear optical probabilistic scheme for the optimal cloning of a pair of orthogonallypolarized photons is devised based on single and twophoton interferences it consists in a partial symmetrization device realized with a modified unbalanced machzehnder interferometer followed by two independent hongoumandel interferometers this scheme has the advantage that it enables quantum cloning without the need for stimulated amplification in a nonlinear medium it can also be modified so to make an optical twoqubit partial swap gate thereby providing a potentially useful tool to linear optics quantum computing | [['a', 'linear', 'optical', 'probabilistic', 'scheme', 'for', 'the', 'optimal', 'cloning', 'of', 'a', 'pair', 'of', 'orthogonallypolarized', 'photons', 'is', 'devised', 'based', 'on', 'single', 'and', 'twophoton', 'interferences', 'it', 'consists', 'in', 'a', 'partial', 'symmetrization', 'device', 'realized', 'with', 'a', 'modified', 'unbalanced', 'machzehnder', 'interferometer', 'followed', 'by', 'two', 'independent', 'hongoumandel', 'interferometers', 'this', 'scheme', 'has', 'the', 'advantage', 'that', 'it', 'enables', 'quantum', 'cloning', 'without', 'the', 'need', 'for', 'stimulated', 'amplification', 'in', 'a', 'nonlinear', 'medium', 'it', 'can', 'also', 'be', 'modified', 'so', 'to', 'make', 'an', 'optical', 'twoqubit', 'partial', 'swap', 'gate', 'thereby', 'providing', 'a', 'potentially', 'useful', 'tool', 'to', 'linear', 'optics', 'quantum', 'computing']] | [-0.14942693803988566, 0.1340273443878356, -0.12105738997078416, 0.022115248316285117, -0.07259001224883832, -0.28221283002163877, 0.08202535757763227, 0.4258183596803891, -0.272578800954348, -0.25735294800357555, 0.017769111731798726, -0.20135303207842464, -0.15047975225289437, 0.28705419519577513, -0.043136255561628124, 0.14904536344163882, 0.053791234825356776, -0.056270270428450946, -0.004651259063393809, -0.22254627078059872, 0.2654102177740159, 0.07958672459988686, 0.30509386296299373, -0.018452969744843853, 0.18283050886186009, 0.0855428131815808, -0.019104688296052205, -0.022314911030910232, -0.018198988948494265, 0.08078191999282519, 0.28087919600180944, 0.10047533384592745, 0.2913837099066851, -0.45051106021062215, -0.18766981954898007, 0.08810844548596916, 0.11628519901370798, 0.20848036506371995, -0.059655742152244784, -0.32506652953717013, -0.01971080630425025, -0.20041026211005042, -0.08654511260630732, -0.07858254681129685, -0.021456225447102704, -0.06248216998276555, -0.2972949855029583, -0.007670577216314004, 0.050443597483866724, -0.024908185846553268, 0.10918817116709595, 0.0033937920922074804, 0.054974135561761533, 0.038088491922032765, -0.17743421577986077, 0.002503715339116752, 0.12340087309712544, -0.09176719258274799, -0.2034302256519864, 0.33996299700811505, -0.06138028679627248, -0.2034665339319459, 0.10219887283561878, -0.06340833454371685, -0.059675818134564906, 0.1448237202976915, 0.11593844839477573, 0.06700233344930563, -0.1563554661697708, 0.018256997244448445, -0.01865426577437161, 0.20785255848684095, 0.12430077511817217, 0.13724891502219674, 0.19901448310702108, 0.13163038540038874, 0.10412767995148897, 0.20329161478730384, -0.07678032931686506, -0.08884145212571391, -0.28074725960719993, -0.17754873391293752, -0.1874335271158171, 0.08725244349757717, -0.07072234593265007, -0.12944299577925863, 0.3573427068426595, 0.09519903714482841, 0.1316551803717051, -0.049993356896183366, 0.3839711550284516, 0.17107903431381352, 0.08321350013879551, 0.009970951798922297, 0.2623939787927983, 0.1623391099723945, 0.0862201182753779, -0.26063285756655125, 0.04430008988658136, 0.024371478812430392] |
711.4213 | Implication of the Mott-limit violation in high-Tc cuprates | The Fermi arc is a striking manifestation of the strong-correlation physics
in high-T_c cuprates. In this paper, implications of the metallic transport in
the lightly hole-doped regime of the cuprates, where the Fermi arcs are found,
are examined in conjunction with competing interpretations of the Fermi arcs in
terms of small hole pockets or a large underlying Fermi surface. It is
discussed that the latter picture provides a more natural understanding of the
metallic transport in view of the Mott-limit argument. Furthermore, it is shown
that a suitable modeling of the Fermi arcs in the framework of the Boltzmann
theory allows us to intuitively understand why the transport properties are
apparently determined by a "small" carrier density even when the underlying
Fermi surface, and hence k_F, is large.
| cond-mat.supr-con cond-mat.str-el | the fermi arc is a striking manifestation of the strongcorrelation physics in hight_c cuprates in this paper implications of the metallic transport in the lightly holedoped regime of the cuprates where the fermi arcs are found are examined in conjunction with competing interpretations of the fermi arcs in terms of small hole pockets or a large underlying fermi surface it is discussed that the latter picture provides a more natural understanding of the metallic transport in view of the mottlimit argument furthermore it is shown that a suitable modeling of the fermi arcs in the framework of the boltzmann theory allows us to intuitively understand why the transport properties are apparently determined by a small carrier density even when the underlying fermi surface and hence k_f is large | [['the', 'fermi', 'arc', 'is', 'a', 'striking', 'manifestation', 'of', 'the', 'strongcorrelation', 'physics', 'in', 'hight_c', 'cuprates', 'in', 'this', 'paper', 'implications', 'of', 'the', 'metallic', 'transport', 'in', 'the', 'lightly', 'holedoped', 'regime', 'of', 'the', 'cuprates', 'where', 'the', 'fermi', 'arcs', 'are', 'found', 'are', 'examined', 'in', 'conjunction', 'with', 'competing', 'interpretations', 'of', 'the', 'fermi', 'arcs', 'in', 'terms', 'of', 'small', 'hole', 'pockets', 'or', 'a', 'large', 'underlying', 'fermi', 'surface', 'it', 'is', 'discussed', 'that', 'the', 'latter', 'picture', 'provides', 'a', 'more', 'natural', 'understanding', 'of', 'the', 'metallic', 'transport', 'in', 'view', 'of', 'the', 'mottlimit', 'argument', 'furthermore', 'it', 'is', 'shown', 'that', 'a', 'suitable', 'modeling', 'of', 'the', 'fermi', 'arcs', 'in', 'the', 'framework', 'of', 'the', 'boltzmann', 'theory', 'allows', 'us', 'to', 'intuitively', 'understand', 'why', 'the', 'transport', 'properties', 'are', 'apparently', 'determined', 'by', 'a', 'small', 'carrier', 'density', 'even', 'when', 'the', 'underlying', 'fermi', 'surface', 'and', 'hence', 'k_f', 'is', 'large']] | [-0.18186565646058403, 0.17262459888790302, -0.09601642357874808, 0.13468017219657474, -0.05717597405360205, -0.14328368167634906, 0.07707109649144993, 0.2973059935744588, -0.25803022737079484, -0.27095081272106947, -0.014189538262659816, -0.3215863425340769, -0.16908714954931964, 0.21540849683549637, -0.03275388673563877, -0.0019443893715084758, 0.0009833543862062177, -0.010813578020957277, -0.11863728830092184, -0.21877245036665144, 0.3439704165528125, 0.06461235496589518, 0.3150230437355835, 0.10487184903674253, 0.03267983674240394, -0.0065185960334557015, 0.05872767921683826, 0.0739640266135863, -0.12190653234190861, 0.12593057108071345, 0.30438808507953335, -0.05556456062678746, 0.2330674718713432, -0.4304080806731239, -0.2550395707724484, -0.01756195092251099, 0.12175387956612692, 0.09933435009044456, -0.028979117698499045, -0.2510494124877641, 0.01529214817179939, -0.1388304132718857, -0.18422220637068504, -0.07856972851812488, 0.00716947753158376, -0.010732120166965358, -0.13867058172294006, 0.10293529917464012, 0.09212050835535986, 0.024282520350919466, -0.08975384827001079, -0.08133639318971184, -0.0409214320614582, 0.04160043601002581, 0.09734901717651313, 0.05402675911043514, 0.10316936396003708, -0.1679007318585847, -0.056570129733034005, 0.4258185554970437, -0.013743018955138958, -0.1304676583388318, 0.21146774991217443, -0.2556104889014868, -0.0915634348277208, 0.1613747530294157, 0.08053245629169281, 0.05550324620943018, -0.15140993940319927, 0.12124580078837131, -0.10271456461916788, 0.12033330852268484, 0.01495403785801192, 0.07524353521326044, 0.2906513593900274, 0.23633680731520115, 0.05030917463178827, 0.07825901775848208, -0.15362923632478562, -0.06379278348465486, -0.28444015964367025, -0.16641617394749106, -0.2305365811600753, 0.03304836567395961, -0.0308196464860326, -0.1924549214783451, 0.39276806266582387, 0.1343590604860013, 0.2626934491361924, -0.07461380014034706, 0.22215431698370636, 0.11231735343751534, 0.0495035917989499, 0.09437619881909781, 0.22916174703873474, 0.10657928440551179, 0.0589325269904193, -0.2620793094741195, 0.10655132331702066, 0.039704398120071475] |
711.4214 | Pitfalls in the analysis of low-temperature thermal conductivity of
high-Tc cuprates | Recently, it was proposed that phonons are specularly reflected below about
0.5 K in ordinary single-crystal samples of high-T_c cuprates, and that the
low-temperature thermal conductivity should be analyzed by fitting the data up
to 0.5 K using an arbitrary power law. Such an analysis yields a result
different from that obtained from the conventional analysis, in which the
fitting is usually restricted to a region below 0.15 K. Here we show that the
proposed new analysis is most likely flawed, because the specular phonon
reflection means that the phonon mean free path \ell gets LONGER than the mean
sample width, while the estimated \ell is actually much SHORTER than the mean
sample width above 0.15 K.
| cond-mat.supr-con cond-mat.str-el | recently it was proposed that phonons are specularly reflected below about 05 k in ordinary singlecrystal samples of hight_c cuprates and that the lowtemperature thermal conductivity should be analyzed by fitting the data up to 05 k using an arbitrary power law such an analysis yields a result different from that obtained from the conventional analysis in which the fitting is usually restricted to a region below 015 k here we show that the proposed new analysis is most likely flawed because the specular phonon reflection means that the phonon mean free path ell gets longer than the mean sample width while the estimated ell is actually much shorter than the mean sample width above 015 k | [['recently', 'it', 'was', 'proposed', 'that', 'phonons', 'are', 'specularly', 'reflected', 'below', 'about', '05', 'k', 'in', 'ordinary', 'singlecrystal', 'samples', 'of', 'hight_c', 'cuprates', 'and', 'that', 'the', 'lowtemperature', 'thermal', 'conductivity', 'should', 'be', 'analyzed', 'by', 'fitting', 'the', 'data', 'up', 'to', '05', 'k', 'using', 'an', 'arbitrary', 'power', 'law', 'such', 'an', 'analysis', 'yields', 'a', 'result', 'different', 'from', 'that', 'obtained', 'from', 'the', 'conventional', 'analysis', 'in', 'which', 'the', 'fitting', 'is', 'usually', 'restricted', 'to', 'a', 'region', 'below', '015', 'k', 'here', 'we', 'show', 'that', 'the', 'proposed', 'new', 'analysis', 'is', 'most', 'likely', 'flawed', 'because', 'the', 'specular', 'phonon', 'reflection', 'means', 'that', 'the', 'phonon', 'mean', 'free', 'path', 'ell', 'gets', 'longer', 'than', 'the', 'mean', 'sample', 'width', 'while', 'the', 'estimated', 'ell', 'is', 'actually', 'much', 'shorter', 'than', 'the', 'mean', 'sample', 'width', 'above', '015', 'k']] | [-0.06188450341683048, 0.19686233088534333, -0.1040833530207284, 0.050295837158854634, -0.07697683289392382, -0.1370381416641494, 0.09012681575746745, 0.3822275053900786, -0.2728331083099509, -0.33269838633291365, 0.05075915977080217, -0.3557615524364842, -0.04738578053875866, 0.2362640116714005, -0.0025142463599232175, 0.000545878927462185, 0.005541651464927082, 0.03915123287269957, -0.06525831182316169, -0.20596525627068984, 0.22756971916756952, 0.06904783248742166, 0.3096732759378596, 0.029617384132833626, 0.017694432428703666, 0.005829765962866636, 0.021048708862633023, 0.042147532423846744, -0.17233308296782238, 0.04920609905901882, 0.24842898829235163, -0.0030929254941069162, 0.22677972197182414, -0.32759844175772246, -0.24418723014875865, 0.07144274895326194, 0.18444398847462323, 0.07285506627223907, 0.003743349845147031, -0.22399558257470784, 0.14888153462438783, -0.07910268055673084, -0.11140053184169671, -0.016739744915921465, 0.024906914884176772, -0.0805454454290219, -0.23061076247602955, 0.1280197596901821, 0.07941727033760558, 0.09598934679077221, -0.0707338154495049, -0.21366473663057017, -0.04870264700207955, 0.020746546749694224, 0.05714689549576077, 0.06145001627289905, 0.14406299458132085, -0.06918315656093132, -0.036921195618203305, 0.36431263383223206, -0.0611616017380988, -0.06749634249693054, 0.1290345024715504, -0.19219931077737457, -0.03847453270792069, 0.2557400810635752, 0.08078750883304697, 0.1305626407079722, -0.17872811997166047, 0.02153742294231207, -0.05489941807782166, 0.24095399632978326, 0.07494983645792827, 0.02709754107074223, 0.17817595233359926, 0.13516790664587647, 0.04204221052300726, 0.10693098644777718, -0.1297883821539899, -0.034154492848290086, -0.26665211394906807, -0.11299236167747623, -0.21424688927781504, 0.09093591191658638, -0.10629220848838883, -0.10133698814285871, 0.30817221492751795, 0.1579977717428691, 0.20798714216957745, 0.05692195820793287, 0.30742936164268064, 0.17659011222700724, 0.09887100930094846, 0.1036369654819624, 0.24038748811277696, 0.14153847001039255, 0.06131613269870161, -0.22697429828600496, 0.07853607157181598, -0.023994260492899284] |
711.4215 | Unified Homogenization Theory for Magnetoinductive and Electromagnetic
Waves in Split Ring Metamaterials | A unified homogenization procedure for split ring metamaterials taking into
account time and spatial dispersion is introduced. The procedure is based on
two coupled systems of equations. The first one comes from an approximation of
the metamaterial as a cubic arrangement of coupled LC circuits, giving the
relation between currents and local magnetic field. The second equation comes
from macroscopic Maxwell equations, and gives the relation between the
macroscopic magnetic field and the average magnetization of the metamaterial.
It is shown that electromagnetic and magnetoinductive waves propagating in the
metamaterial are obtained from this analysis. Therefore, the proposed time and
spatially dispersive permeability accounts for the characterization of the
complete spectrum of waves of the metamaterial. Finally, it is shown that the
proposed theory is in good quantitative and qualitative agreement with full
wave simulations.
| physics.optics | a unified homogenization procedure for split ring metamaterials taking into account time and spatial dispersion is introduced the procedure is based on two coupled systems of equations the first one comes from an approximation of the metamaterial as a cubic arrangement of coupled lc circuits giving the relation between currents and local magnetic field the second equation comes from macroscopic maxwell equations and gives the relation between the macroscopic magnetic field and the average magnetization of the metamaterial it is shown that electromagnetic and magnetoinductive waves propagating in the metamaterial are obtained from this analysis therefore the proposed time and spatially dispersive permeability accounts for the characterization of the complete spectrum of waves of the metamaterial finally it is shown that the proposed theory is in good quantitative and qualitative agreement with full wave simulations | [['a', 'unified', 'homogenization', 'procedure', 'for', 'split', 'ring', 'metamaterials', 'taking', 'into', 'account', 'time', 'and', 'spatial', 'dispersion', 'is', 'introduced', 'the', 'procedure', 'is', 'based', 'on', 'two', 'coupled', 'systems', 'of', 'equations', 'the', 'first', 'one', 'comes', 'from', 'an', 'approximation', 'of', 'the', 'metamaterial', 'as', 'a', 'cubic', 'arrangement', 'of', 'coupled', 'lc', 'circuits', 'giving', 'the', 'relation', 'between', 'currents', 'and', 'local', 'magnetic', 'field', 'the', 'second', 'equation', 'comes', 'from', 'macroscopic', 'maxwell', 'equations', 'and', 'gives', 'the', 'relation', 'between', 'the', 'macroscopic', 'magnetic', 'field', 'and', 'the', 'average', 'magnetization', 'of', 'the', 'metamaterial', 'it', 'is', 'shown', 'that', 'electromagnetic', 'and', 'magnetoinductive', 'waves', 'propagating', 'in', 'the', 'metamaterial', 'are', 'obtained', 'from', 'this', 'analysis', 'therefore', 'the', 'proposed', 'time', 'and', 'spatially', 'dispersive', 'permeability', 'accounts', 'for', 'the', 'characterization', 'of', 'the', 'complete', 'spectrum', 'of', 'waves', 'of', 'the', 'metamaterial', 'finally', 'it', 'is', 'shown', 'that', 'the', 'proposed', 'theory', 'is', 'in', 'good', 'quantitative', 'and', 'qualitative', 'agreement', 'with', 'full', 'wave', 'simulations']] | [-0.18070747980468527, 0.10214508332892028, -0.08760026432573795, 0.010885094047558528, -0.08191386217734328, -0.1018489357980865, -0.023819282653534578, 0.356909229958223, -0.22941765233322425, -0.29516591309673257, 0.029839757276285024, -0.2746547342657491, -0.18958474870909142, 0.22588871381487008, 0.043447602648908894, 0.042588093727223435, -0.0068184905168082975, 0.005431965462587498, -0.03459522195022415, -0.15751845157808728, 0.30898629164030017, 0.03696263293666696, 0.3305374816611961, 0.041977018359358666, 0.1485733563632325, 0.003434166643354628, -0.008615834441863828, 0.07919439027016914, -0.10119064375812067, 0.09630473939598434, 0.20027236011983068, 0.03541819936233676, 0.21862153469550388, -0.47131718152927027, -0.22246892968261683, 0.021479201377196996, 0.11642434684413105, 0.1411534213564462, -0.04134291230994104, -0.2864991651709985, 0.030878351494255992, -0.09029880167390392, -0.1423014169903817, -0.05220229021377033, -0.018196271047754974, 0.028337625448626502, -0.26029428692741524, 0.08779363948851823, 0.0831685069155086, 0.03243181902777265, -0.11338012116374793, -0.05064417850398631, -0.03696424654788441, 0.0994234847706846, 0.029917877231276147, -0.0029243256655280235, 0.058671128920589885, -0.09801013954673653, -0.06874562665923602, 0.40971149982953514, -0.06289700426514847, -0.17732476301111832, 0.1421030741892065, -0.14991167044198073, -0.008113069308024865, 0.1833578673294849, 0.15479783942164094, 0.07605175477349096, -0.16381734252251962, 0.07542575861680907, -0.06117059143801237, 0.19523688724730165, 0.05986209939820347, 0.02417106177195415, 0.20961335092369054, 0.1913409039378166, 0.028659850524747055, 0.1414766126303692, -0.04065413476588826, -0.06989597921018247, -0.33047673449748094, -0.16366831095440795, -0.17111388813635264, 0.035850280989931586, -0.12854230506863032, -0.19530338360539948, 0.4059327859569479, 0.14074469575856777, 0.12241419816596641, 0.029732551879284006, 0.3045371293831893, 0.17535636539795194, 0.064414469766672, 0.043051497075982666, 0.29777934376012394, 0.24878945145066136, 0.1223394808428431, -0.2579335718814508, -0.0249034209176898, 0.05603364572894794] |
711.4216 | Highly deuterated pre-stellar cores in a high-mass star formation region | We have observed the deuterated gas in the high-mass star formation region
IRAS 05345+3157 at high-angular resolution, in order to determine the
morphology and the nature of such gas. We have mapped the N2H+ (1-0) line with
the Plateau de Bure Interferometer, and the N2D+ (3-2) and N2H+ (3-2) lines
with the Submillimeter Array. The N2D+ (3-2) integrated emission is
concentrated in two condensations, with masses of 2-3 and 9 M_sun and diameters
of 0.05 and 0.09 pc, respectively. The high deuterium fractionation (0.1) and
the line parameters in the N2D+ condensations indicate that they are likely
low- to intermediate-mass pre-stellar cores, even though other scenarios are
possible.
| astro-ph | we have observed the deuterated gas in the highmass star formation region iras 053453157 at highangular resolution in order to determine the morphology and the nature of such gas we have mapped the n2h 10 line with the plateau de bure interferometer and the n2d 32 and n2h 32 lines with the submillimeter array the n2d 32 integrated emission is concentrated in two condensations with masses of 23 and 9 m_sun and diameters of 005 and 009 pc respectively the high deuterium fractionation 01 and the line parameters in the n2d condensations indicate that they are likely low to intermediatemass prestellar cores even though other scenarios are possible | [['we', 'have', 'observed', 'the', 'deuterated', 'gas', 'in', 'the', 'highmass', 'star', 'formation', 'region', 'iras', '053453157', 'at', 'highangular', 'resolution', 'in', 'order', 'to', 'determine', 'the', 'morphology', 'and', 'the', 'nature', 'of', 'such', 'gas', 'we', 'have', 'mapped', 'the', 'n2h', '10', 'line', 'with', 'the', 'plateau', 'de', 'bure', 'interferometer', 'and', 'the', 'n2d', '32', 'and', 'n2h', '32', 'lines', 'with', 'the', 'submillimeter', 'array', 'the', 'n2d', '32', 'integrated', 'emission', 'is', 'concentrated', 'in', 'two', 'condensations', 'with', 'masses', 'of', '23', 'and', '9', 'm_sun', 'and', 'diameters', 'of', '005', 'and', '009', 'pc', 'respectively', 'the', 'high', 'deuterium', 'fractionation', '01', 'and', 'the', 'line', 'parameters', 'in', 'the', 'n2d', 'condensations', 'indicate', 'that', 'they', 'are', 'likely', 'low', 'to', 'intermediatemass', 'prestellar', 'cores', 'even', 'though', 'other', 'scenarios', 'are', 'possible']] | [-0.08036170693015231, 0.12782745566046624, 0.012712221717703398, 0.04350252920886743, 0.009216539809670023, -0.07787043680178209, 0.007360907512958403, 0.4726229726716324, -0.08518118359778007, -0.36147331951737954, 0.10789783728843624, -0.2799906161165348, 0.04308859924397742, 0.049703972037941975, 0.05152196847780875, -0.026659710841529346, 0.03085675723101573, -0.14220184037737824, -0.02732515493591092, -0.220517826250418, 0.2860244903196063, 0.07394650130084267, 0.14206511161669536, 0.039076506217800976, 0.04167248058150074, -0.27763878872833125, -0.0334816203556127, -0.06752557575237006, -0.1765867783195534, 0.029654851993890823, 0.27033240965533034, 0.09059075313766866, 0.14055388980476116, -0.36375484531055446, -0.1603357823462122, 0.08972659683786333, 0.20367328647235236, 0.02277230274113309, 0.026509242968771746, -0.298466932606297, 0.08339019767353656, -0.1480121069684241, -0.17776546271138446, 0.09987738103329859, 0.08115147087395329, 0.03961776264559039, -0.2057296499454727, 0.13198713496051453, -0.04081212368004748, 0.07660110588228607, -0.10160214417286355, -0.23590734579678005, -0.08345648238038714, 0.047949609648505295, -0.08456826335815196, 0.10521164876559784, 0.20269704700654578, -0.094295518455544, -0.04339780670987373, 0.39192582960068073, -0.11512307392506584, -0.01823361787760573, 0.2721796360004831, -0.2778757118870056, -0.27270006018483806, 0.2620705277227831, 0.07580365622885034, 0.1101757527686897, -0.0394997282764288, -0.0579528280469714, 0.002779089923327168, 0.26620271514359584, 0.14731303397598416, 0.07774339844332577, 0.3411592096909536, 0.09567422679349503, 0.002194537492296486, 0.1135960862210831, -0.3233819539287921, -0.11068920596746332, -0.1663079747210119, -0.16428225838441263, -0.09783826311791523, 0.07745552440691325, -0.16016328924551662, -0.04771987407002598, 0.21257139548348883, 0.08296040478496623, 0.25990938273672426, 0.025408080966574036, 0.28178331683631297, 0.06400030381606754, 0.10054722184206723, 0.12902445587139852, 0.26547883806698436, 0.19330055433049523, 0.15534953741115276, -0.2638965149073758, 0.022380691616692476, -0.05473273857151745] |
711.4217 | Instruction sequences with dynamically instantiated instructions | We study sequential programs that are instruction sequences with dynamically
instantiated instructions. We define the meaning of such programs in two
different ways. In either case, we give a translation by which each program
with dynamically instantiated instructions is turned into a program without
them that exhibits on execution the same behaviour by interaction with some
service. The complexity of the translations differ considerably, whereas the
services concerned are equally simple. However, the service concerned in the
case of the simpler translation is far more powerful than the service concerned
in the other case.
| cs.PL | we study sequential programs that are instruction sequences with dynamically instantiated instructions we define the meaning of such programs in two different ways in either case we give a translation by which each program with dynamically instantiated instructions is turned into a program without them that exhibits on execution the same behaviour by interaction with some service the complexity of the translations differ considerably whereas the services concerned are equally simple however the service concerned in the case of the simpler translation is far more powerful than the service concerned in the other case | [['we', 'study', 'sequential', 'programs', 'that', 'are', 'instruction', 'sequences', 'with', 'dynamically', 'instantiated', 'instructions', 'we', 'define', 'the', 'meaning', 'of', 'such', 'programs', 'in', 'two', 'different', 'ways', 'in', 'either', 'case', 'we', 'give', 'a', 'translation', 'by', 'which', 'each', 'program', 'with', 'dynamically', 'instantiated', 'instructions', 'is', 'turned', 'into', 'a', 'program', 'without', 'them', 'that', 'exhibits', 'on', 'execution', 'the', 'same', 'behaviour', 'by', 'interaction', 'with', 'some', 'service', 'the', 'complexity', 'of', 'the', 'translations', 'differ', 'considerably', 'whereas', 'the', 'services', 'concerned', 'are', 'equally', 'simple', 'however', 'the', 'service', 'concerned', 'in', 'the', 'case', 'of', 'the', 'simpler', 'translation', 'is', 'far', 'more', 'powerful', 'than', 'the', 'service', 'concerned', 'in', 'the', 'other', 'case']] | [-0.1696344251246588, 0.09811004931899778, -0.06350769969496003, 0.12300336257148375, -0.08736438407225812, -0.19501882983232907, 0.06348586318261445, 0.40127812405215935, -0.295686967591656, -0.3088473471555304, 0.10221568062316944, -0.2450239505727795, -0.08550845144410676, 0.2217459377951603, -0.09127531151851996, 0.021766273562419922, 0.07431060989248625, 0.06686051052182596, -0.041127049314611135, -0.27434023902900123, 0.3234449894108037, -0.006260264922488243, 0.2586600674276656, -0.052206868890355876, 0.012565281291670621, 0.017762948570654115, -0.01918674344097839, 0.007684921609247697, -0.061239168602271014, 0.11145018900625725, 0.27168744910530684, 0.2177039348530246, 0.3008159228620377, -0.47218055431631967, -0.11489995620510679, 0.05393029370919821, 0.13322558114800523, 0.08992962272060005, -0.03126014456443335, -0.2738685232136359, 0.07382699932427482, -0.1681027109387945, -0.053819995829241074, -0.0599767390856559, -0.027145501330217467, 0.02149517015935457, -0.20124325826466877, -0.058062790040957164, 0.09809198275956503, 0.09568942382812817, -0.032327037958547154, -0.10077598980291093, -0.03153605750226911, 0.12271350168900445, 0.08851207492060642, 0.029597324475229895, 0.12394227518482094, -0.12245667219518665, -0.152273625665483, 0.44606273217087095, -0.02951540061142023, -0.23991121973921645, 0.22643810793004454, -0.08633436651979672, -0.20181590457387427, 0.1067870272140197, 0.14030869480004496, 0.11951894210057055, -0.1926942971000012, 0.05889910323287737, -0.017123266162865972, 0.19062327100162177, 0.06285747296444358, 0.0295818723500409, 0.17723197530350707, 0.17627222941039092, 0.06295096967864702, 0.21745300054255418, 0.07032444487057102, -0.11847836300334398, -0.24790239452998689, -0.14478393065485548, -0.11920180762969354, -0.01352610021453113, -0.058070373741236136, -0.1342897221961237, 0.4015672995629621, 0.13667401870058732, 0.16943530978119753, 0.1554791372658888, 0.31597320712419186, 0.09533413128055473, 0.11737279502422292, 0.11267682115369021, 0.1456901226703578, -0.031793822992612866, 0.13398461582317472, -0.15472930603403043, 0.1562930381258682, 0.022283756223685565] |
711.4218 | Empirical likelihood based testing for regression | Consider a random vector $(X,Y)$ and let $m(x)=E(Y|X=x)$. We are interested
in testing $H_0:m\in {\cal M}_{\Theta,{\cal G}}=\{\gamma(\cdot,\theta,g):\theta
\in \Theta,g\in {\cal G}\}$ for some known function $\gamma$, some compact set
$\Theta \subset $IR$^p$ and some function set ${\cal G}$ of real valued
functions. Specific examples of this general hypothesis include testing for a
parametric regression model, a generalized linear model, a partial linear
model, a single index model, but also the selection of explanatory variables
can be considered as a special case of this hypothesis. To test this null
hypothesis, we make use of the so-called marked empirical process introduced by
\citeD and studied by \citeSt for the particular case of parametric regression,
in combination with the modern technique of empirical likelihood theory in
order to obtain a powerful testing procedure. The asymptotic validity of the
proposed test is established, and its finite sample performance is compared
with other existing tests by means of a simulation study.
| math.ST stat.TH | consider a random vector xy and let mxeyxx we are interested in testing h_0min cal m_thetacal ggammacdotthetagtheta in thetagin cal g for some known function gamma some compact set theta subset irp and some function set cal g of real valued functions specific examples of this general hypothesis include testing for a parametric regression model a generalized linear model a partial linear model a single index model but also the selection of explanatory variables can be considered as a special case of this hypothesis to test this null hypothesis we make use of the socalled marked empirical process introduced by cited and studied by citest for the particular case of parametric regression in combination with the modern technique of empirical likelihood theory in order to obtain a powerful testing procedure the asymptotic validity of the proposed test is established and its finite sample performance is compared with other existing tests by means of a simulation study | [['consider', 'a', 'random', 'vector', 'xy', 'and', 'let', 'mxeyxx', 'we', 'are', 'interested', 'in', 'testing', 'h_0min', 'cal', 'm_thetacal', 'ggammacdotthetagtheta', 'in', 'thetagin', 'cal', 'g', 'for', 'some', 'known', 'function', 'gamma', 'some', 'compact', 'set', 'theta', 'subset', 'irp', 'and', 'some', 'function', 'set', 'cal', 'g', 'of', 'real', 'valued', 'functions', 'specific', 'examples', 'of', 'this', 'general', 'hypothesis', 'include', 'testing', 'for', 'a', 'parametric', 'regression', 'model', 'a', 'generalized', 'linear', 'model', 'a', 'partial', 'linear', 'model', 'a', 'single', 'index', 'model', 'but', 'also', 'the', 'selection', 'of', 'explanatory', 'variables', 'can', 'be', 'considered', 'as', 'a', 'special', 'case', 'of', 'this', 'hypothesis', 'to', 'test', 'this', 'null', 'hypothesis', 'we', 'make', 'use', 'of', 'the', 'socalled', 'marked', 'empirical', 'process', 'introduced', 'by', 'cited', 'and', 'studied', 'by', 'citest', 'for', 'the', 'particular', 'case', 'of', 'parametric', 'regression', 'in', 'combination', 'with', 'the', 'modern', 'technique', 'of', 'empirical', 'likelihood', 'theory', 'in', 'order', 'to', 'obtain', 'a', 'powerful', 'testing', 'procedure', 'the', 'asymptotic', 'validity', 'of', 'the', 'proposed', 'test', 'is', 'established', 'and', 'its', 'finite', 'sample', 'performance', 'is', 'compared', 'with', 'other', 'existing', 'tests', 'by', 'means', 'of', 'a', 'simulation', 'study']] | [-0.08275521368259373, 0.03858682829639967, -0.06277571481017284, 0.08992277729502174, -0.08862848957346765, -0.16904608005139704, 0.06718177005065766, 0.34818365825155123, -0.23621695315995753, -0.2644641138119808, 0.10468125178028416, -0.23326932111699505, -0.1572790289828122, 0.20327874935472642, -0.056804379041226497, 0.1216508114755937, 0.03912637470481264, 0.06165328573756265, -0.0586076669598504, -0.26686929935583265, 0.3015754420513793, 0.026539563422634062, 0.26525967143358825, -0.03225677836044932, 0.07659875559030772, 0.04189695172406585, -0.058549264522997156, 0.046539051780501835, -0.1177364441940857, 0.10107840299112908, 0.24165311975972048, 0.17087989492613254, 0.32533297907339026, -0.353364498613297, -0.2318843071231779, 0.15398835634815797, 0.08188850968915797, 0.01208356704365536, -0.02686452560299477, -0.2550762171659693, 0.09922713174600122, -0.18025272028441294, -0.1518675463770621, -0.08732694183593455, 0.004813331052882979, 0.020345745958227492, -0.3593253499353366, 0.05907309880701436, 0.07712072570382661, 0.08378524150520514, 0.010527708824409406, -0.11802189134675023, 0.020325008930872804, 0.029409294405224308, 0.05817030555478433, 0.042853670418324157, 0.0576201830898097, -0.09379096311788439, -0.13016096348966785, 0.370478236380909, -0.06844460428133453, -0.26136562558174725, 0.16583780006857107, -0.14437611138028716, -0.16899236723694283, 0.032704235897214454, 0.19330172285141534, 0.1580230065695448, -0.15445881185818786, 0.136500638969773, -0.08971483143823629, 0.11618019288578471, 0.030603291346562027, -0.04393665483398733, 0.15286512438066008, 0.1645086848235609, 0.003835381642415725, 0.1858491779159329, -0.05261661974307102, -0.04242986502412657, -0.36913895910445427, -0.13983383475161398, -0.17051526478380705, 0.04427839245567012, -0.13094945258552684, -0.1987497198352257, 0.3788160012960927, 0.11999315055079884, 0.17899003826291454, 0.10542608305522, 0.2539385453141017, 0.14187778571188073, 0.010790115132903224, 0.040515357354002086, 0.17656640017182343, 0.15857256525381166, -0.02490250331454522, -0.1520649566737602, 0.07601660393665712, 0.06468480768064593] |
711.4219 | Fundamental String and D1-brane in I-brane Background | This paper is devoted to the study of dynamics of fundamental string and
D1-brane in I-brane background. We consider configurations where string and
D1-brane uniformly wrap transverse spheres. We explicitly determine
corresponding conserved charges and find relations between them.
| hep-th | this paper is devoted to the study of dynamics of fundamental string and d1brane in ibrane background we consider configurations where string and d1brane uniformly wrap transverse spheres we explicitly determine corresponding conserved charges and find relations between them | [['this', 'paper', 'is', 'devoted', 'to', 'the', 'study', 'of', 'dynamics', 'of', 'fundamental', 'string', 'and', 'd1brane', 'in', 'ibrane', 'background', 'we', 'consider', 'configurations', 'where', 'string', 'and', 'd1brane', 'uniformly', 'wrap', 'transverse', 'spheres', 'we', 'explicitly', 'determine', 'corresponding', 'conserved', 'charges', 'and', 'find', 'relations', 'between', 'them']] | [-0.17886072318427837, 0.17663636336473224, -0.021570149492711212, 0.1147905407139124, -0.04333640162188273, -0.08675797152309081, -0.0031564972835043683, 0.3532693826426298, -0.21645551029210672, -0.2705905855848239, 0.0328816947234699, -0.2923575048454297, -0.16384398641112524, 0.06870359808015518, -0.06897909619296208, -0.018483203811905324, -0.003024376761645843, 0.08046698729053904, -0.06417276879820304, -0.2122536746558184, 0.38492233812426907, -0.032482102704353824, 0.3004095027079949, 0.024464874599988643, 0.14189062899169633, 0.025729412168192748, -0.08484899333845346, 0.03199703349039341, -0.25964479031375587, 0.1307812340121764, 0.22504379170445296, 0.028501269741891287, 0.07521892935992816, -0.47983336109572494, -0.11125884713748327, 0.13743956041976046, 0.18026144207956699, 0.14666121747368613, 0.02454379193771344, -0.19075003357078785, 0.095101148636343, -0.14715804799627036, -0.1620530916425662, -0.08152538506338039, 0.0986174974972621, 0.013669089718650166, -0.1695649484411264, 0.05678843489537636, 0.023490481126384858, 0.02271320355626253, -0.0681019239127636, -0.0037402967707468914, -0.02478413809186373, 0.17831332558909288, 0.17151001361139023, 0.06457583821163727, 0.12138590266784796, -0.14428456294207045, -0.10638502636739315, 0.38684976763593465, -0.029791722408471964, -0.2863259042780369, 0.11973165007881247, -0.1505017714539113, -0.17552971615432164, 0.055408637875165694, 0.1758587544139188, 0.19808600236399052, -0.18381001461201754, 0.17766274750167027, -0.00425749577772923, 0.14357068499502462, 0.12916477435292342, 0.02403550999812209, 0.3158619114412711, 0.09897064341184421, 0.057883549959231645, 0.2440335548315675, -0.035369454889755264, -0.13925205529309237, -0.3854452334344387, -0.12019423091819939, -0.05350444093346596, 0.11987320330137244, -0.0561876549995176, -0.18184857008357844, 0.34145579955134636, 0.11832830472252308, 0.20320958732507932, 0.04424482549373538, 0.19108449725004342, 0.04692941082593722, -0.011840672733692022, 0.09515942230772896, 0.2111846978047815, 0.17824111334406412, 0.06734756399423648, -0.2378213712348579, -0.18605894793589145, 0.15718396423527828] |
711.422 | Computing Humbert Surfaces | We describe an algorithm which computes components of Humbert surfaces in
terms of Rosenhain invariants, based on Runge's method
| math.NT math.AG | we describe an algorithm which computes components of humbert surfaces in terms of rosenhain invariants based on runges method | [['we', 'describe', 'an', 'algorithm', 'which', 'computes', 'components', 'of', 'humbert', 'surfaces', 'in', 'terms', 'of', 'rosenhain', 'invariants', 'based', 'on', 'runges', 'method']] | [-0.1618477050215006, -0.02908076029071756, -0.17806801631262428, 0.009992876776347035, -0.03080335916265061, -0.08790028531496462, -0.050012497133330294, 0.31458644372852224, -0.227232174653756, -0.27923933093092945, 0.04547035330783968, -0.21012207473579206, -0.2890389329802833, 0.3175671466283108, -0.15517273545265198, 0.022828473856574612, 0.0057562834730273795, 0.01254168339073658, -0.09781014796738562, -0.3018684427891123, 0.3752037694579677, -0.04411090616332857, 0.22271643838796176, 0.10230223574724637, 0.21872072960985334, 0.04315713214638986, -0.06488285723485444, -0.03612313174495572, -0.16928380414059288, 0.21558809172558158, 0.20538322519707053, 0.11475144990866906, 0.09416724937526803, -0.4047340436985618, -0.07636569773680285, 0.098108989088551, 0.11535491343391568, 0.0487683988115015, 0.054849442774675, -0.23983177557391555, 0.08295395636416383, -0.13608033651191936, -0.16137842951636566, -0.1687821041988699, -0.00803502756906183, 0.05128828965519604, -0.21429231096255152, -0.0006595844108807413, 0.04531987369256584, 0.11219945299978319, -0.0933165137999152, -0.1613302278871599, 0.021527125451125596, 0.028860963758473333, -0.033753183523291035, 0.01238230517820308, 0.07397788753242869, -0.056554188559714114, -0.19156205683554473, 0.3299271064369302, -0.11276671403136693, -0.23940966209690823, 0.08168760864799351, 0.0021604708346881366, -0.19093085001958043, 0.15684399560191914, 0.22581144432096104, 0.2634217683470955, -0.07596421604485888, 0.13077904090383335, -0.060193508667381185, 0.11757247581293709, 0.06924437294027914, -0.04364790669397304, 0.10807423685726367, 0.06276287383546955, 0.059764988802750225, 0.14487631942488646, -0.0343560817970061, -0.04607379053854138, -0.3257450135914903, -0.27311242822753756, -0.1882598083098664, -0.02486189533221094, -0.09414197146696479, -0.26894515243015793, 0.46440212114861135, 0.08526582314975951, 0.18560741831989666, 0.11577399663847725, 0.2733526478374475, 0.09183026913945612, 0.013240580594069079, 0.15281356515754996, 0.09437508844329338, 0.16077282034644955, -0.05642873311023179, -0.16882366245906605, 0.052529240027070045, 0.3272083816853793] |
711.4221 | Integrating Superconductive and Optical Circuits | We have integrated on oxidized silicon wafers superconductive films and
Josephson junctions along with sol-gel optical channel waveguides. The
fabrication process is carried out in two steps that result to be solid and
non-invasive. It is demonstrated that 660 nm light, coupled from an optical
fibre into the channel sol-gel waveguide, can be directed toward
superconducting tunnel junctions whose current-voltage characteristics are
affected by the presence of the radiation. The dependence of the change in the
superconducting energy gap under optical pumping is discussed in terms of a
non-equilibrium superconductivity model.
| cond-mat.supr-con cond-mat.mtrl-sci | we have integrated on oxidized silicon wafers superconductive films and josephson junctions along with solgel optical channel waveguides the fabrication process is carried out in two steps that result to be solid and noninvasive it is demonstrated that 660 nm light coupled from an optical fibre into the channel solgel waveguide can be directed toward superconducting tunnel junctions whose currentvoltage characteristics are affected by the presence of the radiation the dependence of the change in the superconducting energy gap under optical pumping is discussed in terms of a nonequilibrium superconductivity model | [['we', 'have', 'integrated', 'on', 'oxidized', 'silicon', 'wafers', 'superconductive', 'films', 'and', 'josephson', 'junctions', 'along', 'with', 'solgel', 'optical', 'channel', 'waveguides', 'the', 'fabrication', 'process', 'is', 'carried', 'out', 'in', 'two', 'steps', 'that', 'result', 'to', 'be', 'solid', 'and', 'noninvasive', 'it', 'is', 'demonstrated', 'that', '660', 'nm', 'light', 'coupled', 'from', 'an', 'optical', 'fibre', 'into', 'the', 'channel', 'solgel', 'waveguide', 'can', 'be', 'directed', 'toward', 'superconducting', 'tunnel', 'junctions', 'whose', 'currentvoltage', 'characteristics', 'are', 'affected', 'by', 'the', 'presence', 'of', 'the', 'radiation', 'the', 'dependence', 'of', 'the', 'change', 'in', 'the', 'superconducting', 'energy', 'gap', 'under', 'optical', 'pumping', 'is', 'discussed', 'in', 'terms', 'of', 'a', 'nonequilibrium', 'superconductivity', 'model']] | [-0.16061667393852067, 0.1899520548466391, -0.051376440444613224, -0.09906457028671786, -0.004113950623342624, -0.21594614786822552, 0.05893213807855947, 0.4999253342214685, -0.22736473594904766, -0.25032908427222006, 0.027952968338657947, -0.30702546098689126, -0.0712157703595809, 0.25343888074640636, 0.00968035736765999, 0.06729984599879461, 0.002210525642302665, -0.15012431210213964, -0.0325158203153738, -0.17763372935395647, 0.27563881135167, 0.02051987736690585, 0.37484841466789226, 0.10038794188409696, 0.07377324518389426, -0.05243409476959361, 0.11033992247226146, -0.010007398156960914, -0.13266991987484789, 0.025223677629952902, 0.27876887436710546, -0.12769192082111488, 0.15505277537382567, -0.5261601394062841, -0.24620035802945495, 0.03186765116137954, 0.17086010242832805, 0.11128749060802735, -0.029855224092818468, -0.29941167702877913, 0.05626096703869465, -0.09235622944658274, -0.06935526233468368, 0.012474554943964704, -0.0353431491037974, 0.012435826872076308, -0.1974616074617338, 0.006108920417398542, 0.03312127967876802, 0.0826939796762807, -0.0074231891565352355, -0.09102820285217283, -0.0879638930987362, -0.0021010229701769875, -0.04815027902349267, 0.001129318493070429, 0.26631027126971346, -0.09247950089399468, -0.07249186593261393, 0.2619385626167059, -0.05749678160933839, -0.0978957654110023, 0.1052046871199119, -0.10980331033447778, 0.004768070153339387, 0.18478969418044602, 0.1058711650279852, 0.07688123144332197, -0.22797767707699357, 0.01843569716464237, 0.03804825302622803, 0.20870063834629216, 0.1215882814325556, 0.10779031763585019, 0.24855978469681608, 0.2897858345973213, -0.004040743808957983, 0.18652643576254146, -0.12973655463621062, -0.015217520301690796, -0.26092696185786646, -0.22214909374284056, -0.19921256669356927, 0.09070045494085567, -0.07970874783151866, -0.18465191064463868, 0.4114876809724412, 0.14901845156634738, 0.11696841084183408, -0.07598089098234426, 0.2825125075753901, 0.13562224268053585, 0.11098810408653302, -0.0019800300494982647, 0.308970788411878, 0.23205300653097474, 0.14649964174112448, -0.29226793074765456, 0.09610065303558668, -0.0653634947125933] |
711.4222 | Limits on nu_e and anti-nu_e disappearance from Gallium and reactor
experiments | The deficit observed in the Gallium radioactive source experiments is
interpreted as a possible indication of the disappearance of electron
neutrinos. In the effective framework of two-neutrino mixing we obtain
$\sin^{2}2\vartheta \gtrsim 0.03$ and $\Delta{m}^{2} \gtrsim 0.1
\text{eV}^{2}$. The compatibility of this result with the data of the Bugey and
Chooz reactor short-baseline antineutrino disappearance experiments is studied.
It is found that the Bugey data present a hint of neutrino oscillations with
$0.02 \lesssim \sin^{2}2\vartheta \lesssim 0.08$ and $\Delta{m}^{2} \approx 1.8
\text{eV}^{2}$, which is compatible with the Gallium allowed region of the
mixing parameters. This hint persists in the combined analyses of Bugey and
Chooz data, of Gallium and Bugey data, and of Gallium, Bugey, and Chooz data.
| hep-ph | the deficit observed in the gallium radioactive source experiments is interpreted as a possible indication of the disappearance of electron neutrinos in the effective framework of twoneutrino mixing we obtain sin22vartheta gtrsim 003 and deltam2 gtrsim 01 textev2 the compatibility of this result with the data of the bugey and chooz reactor shortbaseline antineutrino disappearance experiments is studied it is found that the bugey data present a hint of neutrino oscillations with 002 lesssim sin22vartheta lesssim 008 and deltam2 approx 18 textev2 which is compatible with the gallium allowed region of the mixing parameters this hint persists in the combined analyses of bugey and chooz data of gallium and bugey data and of gallium bugey and chooz data | [['the', 'deficit', 'observed', 'in', 'the', 'gallium', 'radioactive', 'source', 'experiments', 'is', 'interpreted', 'as', 'a', 'possible', 'indication', 'of', 'the', 'disappearance', 'of', 'electron', 'neutrinos', 'in', 'the', 'effective', 'framework', 'of', 'twoneutrino', 'mixing', 'we', 'obtain', 'sin22vartheta', 'gtrsim', '003', 'and', 'deltam2', 'gtrsim', '01', 'textev2', 'the', 'compatibility', 'of', 'this', 'result', 'with', 'the', 'data', 'of', 'the', 'bugey', 'and', 'chooz', 'reactor', 'shortbaseline', 'antineutrino', 'disappearance', 'experiments', 'is', 'studied', 'it', 'is', 'found', 'that', 'the', 'bugey', 'data', 'present', 'a', 'hint', 'of', 'neutrino', 'oscillations', 'with', '002', 'lesssim', 'sin22vartheta', 'lesssim', '008', 'and', 'deltam2', 'approx', '18', 'textev2', 'which', 'is', 'compatible', 'with', 'the', 'gallium', 'allowed', 'region', 'of', 'the', 'mixing', 'parameters', 'this', 'hint', 'persists', 'in', 'the', 'combined', 'analyses', 'of', 'bugey', 'and', 'chooz', 'data', 'of', 'gallium', 'and', 'bugey', 'data', 'and', 'of', 'gallium', 'bugey', 'and', 'chooz', 'data']] | [-0.08109351830428531, 0.22356363576194593, 0.03217823841159457, 0.11298824480036274, -0.00861799018457532, -0.14447677161159186, 0.11754736119022208, 0.28017722609741935, -0.187889464424345, -0.3728643699914442, 0.10121687857438168, -0.40502580149291917, -0.003691734633697518, 0.2257261698230587, 0.015387192827896296, 0.043533141772937156, 0.09462895470767699, -0.06001465301960707, -0.1149822050722613, -0.13617229330000177, 0.19471260172250712, 0.14505220420562245, 0.284415450998871, 0.11710892610878137, 0.06946773547378111, -0.11984681306760116, -0.049514486747472705, -0.10849281778591204, -0.1508875991802252, -0.0016381420066644405, 0.24181400872927544, 0.11517839852503725, 0.07825084481837935, -0.3695806049870263, -0.13338853177164905, 0.13213009353132982, 0.11125101296809213, -0.016374336359901997, -0.10199469615352051, -0.31679677656562677, 0.05807537069255165, -0.19522099671403653, -0.1327243476186815, 0.025933138126957005, -0.029683642257968414, -0.05884895602578361, -0.3822144096363978, 0.1721929758292892, -0.017555156859151762, 0.05399746368318025, -0.061031955920545194, -0.21116670868600365, 0.016751499589661073, 0.00019153118422576067, 0.13593554614384756, 0.036734556373818936, 0.07637729899102726, -0.049406079067607765, -0.04682569030736541, 0.3992212364000493, -0.09936516170173176, -0.017126257683889104, 0.06970089648304315, -0.243090797376273, -0.13864672008163198, 0.11708777126101456, 0.09995624645897147, 0.032671230194833256, -0.1426958926262912, 0.054875918230993255, -0.10209369707495328, 0.22339274602588907, 0.08618086910854768, -0.0017523019181179076, 0.2298871905318108, 0.3043941476438516, 0.05278460431747652, -0.051875694381908095, -0.2622943905398956, 0.03735119997521718, -0.3247366918668408, -0.07194697678667204, -0.05798364121563219, 0.11558509336639966, -0.0891541190364384, -0.10021659963892708, 0.34371662514027335, 0.07463184206200571, 0.20865908666545974, -0.014917755757402307, 0.24139243854081321, 0.013072169148001885, 0.0955226335570152, -0.02539611456851507, 0.3368701008309064, 0.17240952767214962, 0.1514131722586422, -0.2698539359804146, 0.06855530892338219, -0.08423387430255012] |
711.4223 | Scalar mesons from Unitarized Chiral Perturbation Theory: N_c and quark
mass dependences | We review recent studies of light scalar meson properties by means of
unitarization techniques, obtained from dispersion theory, and applied to the
Chiral Perturbation Theory expansion. In particular, light scalars do not
follow the N_c dependence of $\bar q q$ states although a subdominant
quark-antiquark component may be observed to arise for the f_0(600) around 1
GeV, where another quark-antiquark multiplet is believed to exist. Finally, we
present our preliminary results on the quark mass dependence of the f_0(600)
and rho(770) resonances.
| hep-ph | we review recent studies of light scalar meson properties by means of unitarization techniques obtained from dispersion theory and applied to the chiral perturbation theory expansion in particular light scalars do not follow the n_c dependence of bar q q states although a subdominant quarkantiquark component may be observed to arise for the f_0600 around 1 gev where another quarkantiquark multiplet is believed to exist finally we present our preliminary results on the quark mass dependence of the f_0600 and rho770 resonances | [['we', 'review', 'recent', 'studies', 'of', 'light', 'scalar', 'meson', 'properties', 'by', 'means', 'of', 'unitarization', 'techniques', 'obtained', 'from', 'dispersion', 'theory', 'and', 'applied', 'to', 'the', 'chiral', 'perturbation', 'theory', 'expansion', 'in', 'particular', 'light', 'scalars', 'do', 'not', 'follow', 'the', 'n_c', 'dependence', 'of', 'bar', 'q', 'q', 'states', 'although', 'a', 'subdominant', 'quarkantiquark', 'component', 'may', 'be', 'observed', 'to', 'arise', 'for', 'the', 'f_0600', 'around', '1', 'gev', 'where', 'another', 'quarkantiquark', 'multiplet', 'is', 'believed', 'to', 'exist', 'finally', 'we', 'present', 'our', 'preliminary', 'results', 'on', 'the', 'quark', 'mass', 'dependence', 'of', 'the', 'f_0600', 'and', 'rho770', 'resonances']] | [-0.1087102752577133, 0.23550475401542625, -0.13825469805927174, 0.12189272840694729, -0.1018522844547633, -0.12561693018097886, 0.036976526105185835, 0.3407919310578486, -0.15894894753355623, -0.22901967994687034, -0.034562985283583855, -0.3235171925639961, -0.09512189943584749, 0.12079408295912578, 0.04088077543973469, 0.06009660971282822, 0.03269883122567723, 0.05375608352648958, -0.052342035870135924, -0.2063287335061809, 0.3631217047322269, -0.06175378554432494, 0.18840074946922136, 0.15972659178078175, -0.02501954864029114, 0.01805155480098797, -0.00787963438211236, -0.07548287633533884, -0.12735829345041477, 0.06619988359360411, 0.21786772398911303, 0.06223662926179425, 0.13898430223485864, -0.3656556045909117, -0.2006024232378411, 0.08552912444376, 0.2381043268151854, 0.12635679788342336, -0.054553052497085, -0.2745909725895106, 0.12081342086014224, -0.17650888238965376, -0.20233323543457452, -0.1152693604817614, 0.013854381986098683, -0.07428912910428352, -0.3223256988723467, 0.11372932234052115, -0.006921977321503729, 0.02886884597061974, -0.03727313401972557, -0.2309328986235281, -0.04993612585850514, 0.02356768028651614, 0.16792662937773345, 0.08274067138185406, 0.1866732475847551, -0.16821894210354402, -0.13271923639908115, 0.38070526232988366, -0.11636638420239295, -0.15728375321344995, 0.13814888370972944, -0.16739782929227393, -0.15975277480192301, 0.0919055739451745, 0.19203112225570693, 0.1074375114432059, -0.11554878325451438, 0.11568409195822868, -0.0287515316300503, 0.20613405760235676, 0.10528076706999322, 0.08377219377108282, 0.22708488346493474, 0.09396060794966704, -0.07812507901193075, 0.038973486847414564, -0.03936118530052737, -0.10423618723161338, -0.3828495017184717, -0.035764660459102655, -0.11265255068996693, 0.05206213114664623, -0.050295600438669395, -0.11624345512742676, 0.3790133303235762, 0.10809649977543415, 0.2457885058687591, -0.012891438281413441, 0.2774729013170411, 0.1259360565511487, 0.09863804607856565, 0.07827902228071741, 0.33976193137677024, 0.2491993123080536, 0.12183908110189183, -0.24584193788426248, -0.07446578735479994, 0.04665870902628252] |
711.4224 | Perturbations for the Coulomb - Kepler problem on de Sitter space-time | In the Schrodinger picture of the Dirac quantum mechanics, defined in charts
with spatially flat Robertson-Walker metrics and Cartesian coordinates the
perturbation theory is applied to the interacting part of the Hamiltonian
operator produced by the minimal coupling with the gravitational field. First
and second order perturbations are computed.
| gr-qc | in the schrodinger picture of the dirac quantum mechanics defined in charts with spatially flat robertsonwalker metrics and cartesian coordinates the perturbation theory is applied to the interacting part of the hamiltonian operator produced by the minimal coupling with the gravitational field first and second order perturbations are computed | [['in', 'the', 'schrodinger', 'picture', 'of', 'the', 'dirac', 'quantum', 'mechanics', 'defined', 'in', 'charts', 'with', 'spatially', 'flat', 'robertsonwalker', 'metrics', 'and', 'cartesian', 'coordinates', 'the', 'perturbation', 'theory', 'is', 'applied', 'to', 'the', 'interacting', 'part', 'of', 'the', 'hamiltonian', 'operator', 'produced', 'by', 'the', 'minimal', 'coupling', 'with', 'the', 'gravitational', 'field', 'first', 'and', 'second', 'order', 'perturbations', 'are', 'computed']] | [-0.1874085295166136, 0.14201494893629332, -0.05548791060870399, 0.06233036188570289, -0.041214752904310516, -0.11508742226667855, -0.10975047166468765, 0.309737644395886, -0.24544022920332392, -0.26457103312120067, 0.04658649775807803, -0.2991982300062569, -0.14326076747431438, 0.10108477078682306, 0.0005583166315847514, 0.05995153649044888, 0.02369274927436241, 0.0768668526992658, -0.09436249640789263, -0.22831711644420818, 0.40773140799672325, 0.06386539178225686, 0.22525792510951964, -0.03473915444088301, 0.08128152417057023, 0.00600224003499868, -0.03477118304949634, 0.07502676702427621, -0.10566991915432167, 0.11027186159495911, 0.19585065601710752, 0.05335612319485874, 0.20475921192567567, -0.4472595163982134, -0.22287276303585696, 0.06341853551566601, 0.10602414150893384, 0.1265533236520631, -0.008635574875741589, -0.38464883684503787, -0.007080351173573611, -0.13576699498736736, -0.1952401313797704, -0.06446935977710753, -0.011837764327148241, -0.028381555569263136, -0.20760826226703974, 0.10168138490419606, 0.009804234722372601, 0.03798634184486404, -0.1154270986361163, 0.008242658396460573, -0.0682332632797105, 0.08750462996754416, 0.026384705397281414, 0.0706538674991806, 0.10948344965332321, -0.07360245730628126, -0.12290322967823974, 0.4535001850477895, -0.14569817699862606, -0.2817604496923028, 0.08791871661586421, -0.17064354700815618, -0.05111365981057894, 0.07542965474671551, 0.12473983617917615, 0.16066656121033795, -0.140560876102928, 0.19569801094191036, 0.0625427589390655, 0.10164102539895292, 0.08086630400764394, 0.0036335515086444057, 0.19813783763318646, 0.05692158255973184, 0.04784017388841936, 0.09853683913848837, -0.009181548603715338, -0.20010294974781573, -0.3847332374021715, -0.12439894280871566, -0.20880184324496254, 0.0630389790083947, -0.13091405614086768, -0.2313602710218758, 0.43804112475897583, 0.08798383986007194, 0.12366105804257856, 0.002866078011349452, 0.26597768288789964, 0.15854470677227162, 0.046036310213598976, 0.09254670346497881, 0.29339358397778503, 0.22848659765678553, 0.10420594827690143, -0.19595859317187392, -0.08287177653983235, 0.1462026124877133] |
711.4225 | Consumption processes and positively homogeneous projection properties | We constructively prove the existence of time-discrete consumption processes
for stochastic money accounts that fulfill a pre-specified positively
homogeneous projection property (PHPP) and let the account always be positive
and exactly zero at the end. One possible example is consumption rates forming
a martingale under the above restrictions. For finite spaces, it is shown that
any strictly positive consumption strategy with restrictions as above possesses
at least one corresponding PHPP and could be constructed from it. We also
consider numeric examples under time-discrete and -continuous account
processes, cases with infinite time horizons and applications to income
drawdown and bonus theory.
| q-fin.GN math.OC | we constructively prove the existence of timediscrete consumption processes for stochastic money accounts that fulfill a prespecified positively homogeneous projection property phpp and let the account always be positive and exactly zero at the end one possible example is consumption rates forming a martingale under the above restrictions for finite spaces it is shown that any strictly positive consumption strategy with restrictions as above possesses at least one corresponding phpp and could be constructed from it we also consider numeric examples under timediscrete and continuous account processes cases with infinite time horizons and applications to income drawdown and bonus theory | [['we', 'constructively', 'prove', 'the', 'existence', 'of', 'timediscrete', 'consumption', 'processes', 'for', 'stochastic', 'money', 'accounts', 'that', 'fulfill', 'a', 'prespecified', 'positively', 'homogeneous', 'projection', 'property', 'phpp', 'and', 'let', 'the', 'account', 'always', 'be', 'positive', 'and', 'exactly', 'zero', 'at', 'the', 'end', 'one', 'possible', 'example', 'is', 'consumption', 'rates', 'forming', 'a', 'martingale', 'under', 'the', 'above', 'restrictions', 'for', 'finite', 'spaces', 'it', 'is', 'shown', 'that', 'any', 'strictly', 'positive', 'consumption', 'strategy', 'with', 'restrictions', 'as', 'above', 'possesses', 'at', 'least', 'one', 'corresponding', 'phpp', 'and', 'could', 'be', 'constructed', 'from', 'it', 'we', 'also', 'consider', 'numeric', 'examples', 'under', 'timediscrete', 'and', 'continuous', 'account', 'processes', 'cases', 'with', 'infinite', 'time', 'horizons', 'and', 'applications', 'to', 'income', 'drawdown', 'and', 'bonus', 'theory']] | [-0.09216308893460058, 0.13850675173441176, -0.0914313697816842, 0.12638901282643558, -0.07762289465861205, -0.2190446094514764, 0.058162527352485956, 0.36528496911787256, -0.2956113868288468, -0.22076234561676272, 0.16813534709187794, -0.28306966174717, -0.09910651246960066, 0.189642502403609, -0.08513365923522079, 0.02637942961170053, 0.02821362226113335, 0.061037892411577005, -0.04956607269277625, -0.2931413091980491, 0.32614359489585065, 0.008962884630855858, 0.265250838998401, 0.07925414321445194, 0.19041888632844867, -0.016304765386050756, 0.03163629207684069, 0.03966312211053134, -0.14665373216210317, 0.03341830437242681, 0.2834062530107948, 0.11940740769947594, 0.33328849035410246, -0.40784954241648014, -0.215217510276303, 0.19977530068242733, 0.08152656435784741, 0.05091679988581003, -0.04223492129216427, -0.23396070442419042, 0.12252363828438505, -0.16094079473036893, -0.16855878512165984, -0.08133977900582309, 0.034984629031042665, 0.03604586002397902, -0.3057441944351458, 0.05234379459817523, 0.08561462433343488, 0.01098657027718478, -0.1221712630916843, -0.1193327984525537, -0.06523123221966076, 0.115458788464264, 0.07223537855434745, -0.048063960394403915, 0.09702210625804657, -0.047410424551641454, -0.13983045485493137, 0.3523280935799133, -0.0570467914815764, -0.2529062073896354, 0.1609322301881882, -0.15348657441553565, -0.13252409231582923, 0.14419296247010327, 0.1335489801154947, 0.08157203248606956, -0.13435344987463357, 0.10741406370890422, -0.030564691985444148, 0.13078750835551062, 0.12271650058540459, 0.035363022741690585, 0.17369564830762696, 0.11784339186792471, 0.20421325295037418, 0.13438521312046037, 0.02614381176191477, -0.1236922639940048, -0.36009687672806334, -0.15446758011774142, -0.1357937141473652, 0.09812198389483122, -0.09087694506546987, -0.11770602013548713, 0.30212007140816777, 0.09363208752011462, 0.15146177794252122, 0.15068283512694192, 0.27290280060652566, 0.20246975551411622, 0.03288298639544875, 0.11501059451197483, 0.10994040326462412, 0.07305924918464556, 0.07898880550827907, -0.1721293004615736, 0.10280038813623238, 0.07126928754958647] |
711.4226 | On the Colored HOMFLY-PT, Multivariable and Kashaev Link Invariants | We study various specializations of the colored HOMFLY-PT polynomial. These
specializations are used to show that the multivariable link invariants arising
from a complex family of sl(m|n) super-modules previously defined by the
authors contains both the multivariable Alexander polynomial and Kashaev's
invariants. We conjecture these multivariable link invariants also specialize
to the generalized multivariable Alexander invariants defined by Y. Akutsu, T.
Deguchi, and T. Ohtsuki.
| math.GT math.QA | we study various specializations of the colored homflypt polynomial these specializations are used to show that the multivariable link invariants arising from a complex family of slmn supermodules previously defined by the authors contains both the multivariable alexander polynomial and kashaevs invariants we conjecture these multivariable link invariants also specialize to the generalized multivariable alexander invariants defined by y akutsu t deguchi and t ohtsuki | [['we', 'study', 'various', 'specializations', 'of', 'the', 'colored', 'homflypt', 'polynomial', 'these', 'specializations', 'are', 'used', 'to', 'show', 'that', 'the', 'multivariable', 'link', 'invariants', 'arising', 'from', 'a', 'complex', 'family', 'of', 'slmn', 'supermodules', 'previously', 'defined', 'by', 'the', 'authors', 'contains', 'both', 'the', 'multivariable', 'alexander', 'polynomial', 'and', 'kashaevs', 'invariants', 'we', 'conjecture', 'these', 'multivariable', 'link', 'invariants', 'also', 'specialize', 'to', 'the', 'generalized', 'multivariable', 'alexander', 'invariants', 'defined', 'by', 'y', 'akutsu', 't', 'deguchi', 'and', 't', 'ohtsuki']] | [-0.24058743205208044, 0.06893151236536842, -0.11940030249265524, 0.10231501924303862, -0.127918283154185, -0.21099558529229118, -0.05735301644756244, 0.2673417679392375, -0.390366676191871, -0.25367103928270246, 0.047783788107335565, -0.1877844780790978, -0.28592766357155946, 0.22002051969846853, -0.14972522649914027, 0.05091220874769183, 0.0023468174111957734, 0.03394117356779484, -0.11110324362794367, -0.37538558296286145, 0.3706347702214351, -0.04527403631498321, 0.08762913866398427, 0.057648711780516004, 0.08000754554254505, 0.021713258075312925, -0.12731936889915513, -0.022735683619976042, -0.24694893296075932, 0.0714592055301182, 0.3272956500832851, 0.06150720142938483, 0.09722887381895606, -0.2953102678893349, -0.06345038205170288, 0.19689473127229856, 0.08054350637114392, -0.06206997180214295, 0.08172511393920734, -0.27748881180125934, 0.08753489532436316, -0.23580759270833088, -0.15980091536274324, -0.13307530854900296, 0.003542548418045044, 0.0925425567628386, -0.20163328856802903, 0.011825857952219219, 0.06000839938911108, 0.1442372395728643, 0.032592650280835536, -0.1648458019328805, -0.0785867544482104, 0.06506698683907207, -0.0352859603957488, 0.08064825408554707, 0.04626230571705561, -0.12519027635481997, -0.2573357556301814, 0.28598792798226125, -0.06008841435407074, -0.26190384081923046, 0.15868272602987976, -0.1328624084305305, -0.2422062927785401, 0.0765241456647905, 0.027412071193640048, 0.12105543676477212, -0.022945218375669076, 0.15894770700878535, -0.1630463638414557, 0.002065119118644641, 0.20261884729306284, -0.01920542375256236, 0.11832820293135368, -0.09678577736306648, -0.05626366373438101, 0.22802449113761003, 0.0632595929532097, -0.07474413128713002, -0.2888597033917904, -0.25742899781236284, -0.1275408908724785, 0.11334143766703514, -0.11081278133161294, -0.09445911577472893, 0.45609016882685516, 0.04177654927166609, 0.13538293070518054, 0.20913281621268162, 0.192528460547328, 0.08982799753833276, 0.04973747200117661, 0.04093798797291059, 0.04443053726393443, 0.2572116548123841, 0.07030889907708535, -0.13168471562676132, 0.02107795182472238, 0.2939614314872485] |
711.4227 | Observation of correlations up to the micrometer scale in sliding
charge-density waves | High-resolution coherent x-ray diffraction experiment has been performed on
the charge density wave (CDW) system K$_{0.3}$MoO$_3$. The $2k_F$ satellite
reflection associated with the CDW has been measured with respect to external
dc currents. In the sliding regime, the $2k_F$ satellite reflection displays
secondary satellites along the chain axis which corresponds to correlations up
to the micrometer scale. This super long range order is 1500 times larger than
the CDW period itself. This new type of electronic correlation seems inherent
to the collective dynamics of electrons in charge density wave systems. Several
scenarios are discussed.
| cond-mat.str-el | highresolution coherent xray diffraction experiment has been performed on the charge density wave cdw system k_03moo_3 the 2k_f satellite reflection associated with the cdw has been measured with respect to external dc currents in the sliding regime the 2k_f satellite reflection displays secondary satellites along the chain axis which corresponds to correlations up to the micrometer scale this super long range order is 1500 times larger than the cdw period itself this new type of electronic correlation seems inherent to the collective dynamics of electrons in charge density wave systems several scenarios are discussed | [['highresolution', 'coherent', 'xray', 'diffraction', 'experiment', 'has', 'been', 'performed', 'on', 'the', 'charge', 'density', 'wave', 'cdw', 'system', 'k_03moo_3', 'the', '2k_f', 'satellite', 'reflection', 'associated', 'with', 'the', 'cdw', 'has', 'been', 'measured', 'with', 'respect', 'to', 'external', 'dc', 'currents', 'in', 'the', 'sliding', 'regime', 'the', '2k_f', 'satellite', 'reflection', 'displays', 'secondary', 'satellites', 'along', 'the', 'chain', 'axis', 'which', 'corresponds', 'to', 'correlations', 'up', 'to', 'the', 'micrometer', 'scale', 'this', 'super', 'long', 'range', 'order', 'is', '1500', 'times', 'larger', 'than', 'the', 'cdw', 'period', 'itself', 'this', 'new', 'type', 'of', 'electronic', 'correlation', 'seems', 'inherent', 'to', 'the', 'collective', 'dynamics', 'of', 'electrons', 'in', 'charge', 'density', 'wave', 'systems', 'several', 'scenarios', 'are', 'discussed']] | [-0.23171897952821344, 0.2189399511429501, -0.054989543099431916, 0.06892453046748415, -0.05084820937840862, -0.07536526595519737, -0.005256717685273194, 0.39338323763234817, -0.256242584338055, -0.2740477380978112, 0.04395626570306164, -0.35104121410466255, -0.062163038724201154, 0.17071855069197556, 0.042567554281707456, 0.06397911689264026, -0.036084164875222646, 0.002575653141978732, -0.1158831842823271, -0.1609678922141803, 0.26233375991664903, 0.08719510749970721, 0.3163078365986176, 0.011663273898290192, 0.07149859406846634, 0.020484099072959037, 0.02756995773481631, -0.013850482002376242, -0.11707014796581675, 0.01348841695877862, 0.26216276356841417, -0.06293041277874975, 0.19412124044004272, -0.4537761361397644, -0.2378379075461008, 0.025483755107493476, 0.15064762070919932, 0.09445324124634623, -0.012247634136385502, -0.28423330647018835, 0.07123686657089026, -0.20588335342348574, -0.19314582054404186, -0.010578162200312982, 0.05562840450673978, 0.02219817329673691, -0.1917566104118336, 0.15665987068960602, -0.00503009335791811, 0.06604879077008748, -0.08317436755416875, -0.06000554305129744, -0.054291124844507495, 0.03595539358781373, 0.09634782565866616, 0.11134993572759026, 0.16955241494059087, -0.0681461677341623, -0.11280802456956812, 0.3632267170803661, -0.0043434797251470725, -0.06146977377431269, 0.21627155447160787, -0.23971170264276417, -0.06428258955736268, 0.2390585863724985, 0.11181709094733455, 0.030533794921753492, -0.13573072677815057, 0.02923903079267512, -0.021738046673411365, 0.23546041390224498, 0.12254094060490582, 0.10061832851769918, 0.2674381290463374, 0.1743020194339903, 0.08748723620281337, 0.09279537709563614, -0.20218138042849765, -0.07272485264903925, -0.19964115005580985, -0.0933908245754131, -0.1695815570939808, 0.04892421123525871, -0.021962890860332335, -0.10773636568139525, 0.3996780055000427, 0.13313213182073014, 0.17090581500149787, -0.05186446810245236, 0.28045907395673875, 0.15669286975815416, 0.11734199058961128, 0.004570605127423248, 0.23641743978108973, 0.16157959676298134, 0.15705467919581273, -0.28613007571449145, 0.05164505290660135, -0.019221967296734293] |
711.4228 | Existence of Least-perimeter Partitions | We prove the existence of a perimeter-minimizing partition of R^n into
regions of unit volume. We conclude with a short tribute to the late Manuel A.
Fortes.
| math.MG math.DG | we prove the existence of a perimeterminimizing partition of rn into regions of unit volume we conclude with a short tribute to the late manuel a fortes | [['we', 'prove', 'the', 'existence', 'of', 'a', 'perimeterminimizing', 'partition', 'of', 'rn', 'into', 'regions', 'of', 'unit', 'volume', 'we', 'conclude', 'with', 'a', 'short', 'tribute', 'to', 'the', 'late', 'manuel', 'a', 'fortes']] | [-0.1706953772723123, 0.06829654034744534, -0.10822596732113096, 0.05769196752872732, -0.048390102572739124, -0.06022369273489824, 0.04915106579385422, 0.28313245272470844, -0.20543799314785888, -0.18692655412963144, 0.11508448456448538, -0.2972995532607591, -0.09907341869203029, 0.13382111713980083, -0.1235321646694232, -0.062097328128638093, 0.027494891667393623, 0.030086876065642747, -0.06872017008976804, -0.27793477613616874, 0.2635356555735968, -0.021529025570661935, 0.16070193024697127, 0.09258966994713302, 0.12496671018501122, -0.026103937377532322, -0.01877520640415174, 0.032407787111070424, -0.20616258449714492, 0.12977440362037332, 0.17729722046189839, 0.16334062306796787, 0.35020604398515487, -0.4161174048980077, -0.151512099912873, 0.13189158954278188, 0.0918627740746295, 0.016094909187544276, -0.05594311931377484, -0.26724924009155343, 0.0916111138994219, -0.15029893649948967, -0.14042722195800808, 0.027330799459445256, 0.06655061228580221, 0.03198014385135913, -0.26940061607294613, 0.03806117121820097, 0.09510463419266874, 0.0016386824211588613, -0.11810441111662874, -0.07955943567126438, 0.006166211950282256, 0.0916853093335198, 0.016163264987645327, 0.0882826487844189, 0.03563703827697922, -0.07998360914212686, -0.04780412451536567, 0.3385627587084417, -0.06979245278570387, -0.13150369366889614, 0.14659786931480523, -0.21703647311638902, -0.1683597838230155, 0.08500788790277308, 0.14727711146352468, 0.13747207861807612, -0.08305852891256411, 0.1241632366070041, -0.06406796730502888, 0.14189881212250502, 0.08306834381073713, 0.009504197656901347, 0.2337164386279053, 0.1727120446222317, 0.03870715587227433, 0.23374129995419127, -0.07706427139540513, -0.02267558831307623, -0.3233649889007211, -0.21671355788216548, -0.13196443097182997, 0.14887924413024275, -0.04999788333144453, -0.20981683226785175, 0.35742041986021733, 0.04073818888584221, 0.26704141180272456, 0.12532404403167743, 0.17647621811678013, -0.0035016006893581813, 0.0516391139201544, 0.0810147740498737, 0.12028690574138805, 0.08562596887350082, 0.08467666632323353, -0.16678162457214463, -0.03825354681315797, 0.17012444718016517] |
711.4229 | Modified quantum dimensions and re-normalized link invariants | In this paper we give a re-normalization of the Reshetikhin-Turaev quantum
invariants of links, by modified quantum dimensions. In the case of simple Lie
algebras these modified quantum dimensions are proportional to the usual
quantum dimensions. More interestingly we will give two examples where the
usual quantum dimensions vanish but the modified quantum dimensions are
non-zero and lead to non-trivial link invariants. The first of these examples
is a class of invariants arising from Lie superalgebras previously defined by
the first two authors. These link invariants are multivariable and generalize
the multivariable Alexander polynomial. The second example, is a hierarchy of
link invariants arising from nilpotent representations of quantized sl(2) at a
root of unity. These invariants contain Kashaev's quantum dilogarithm
invariants of knots.
| math.QA math.GT | in this paper we give a renormalization of the reshetikhinturaev quantum invariants of links by modified quantum dimensions in the case of simple lie algebras these modified quantum dimensions are proportional to the usual quantum dimensions more interestingly we will give two examples where the usual quantum dimensions vanish but the modified quantum dimensions are nonzero and lead to nontrivial link invariants the first of these examples is a class of invariants arising from lie superalgebras previously defined by the first two authors these link invariants are multivariable and generalize the multivariable alexander polynomial the second example is a hierarchy of link invariants arising from nilpotent representations of quantized sl2 at a root of unity these invariants contain kashaevs quantum dilogarithm invariants of knots | [['in', 'this', 'paper', 'we', 'give', 'a', 'renormalization', 'of', 'the', 'reshetikhinturaev', 'quantum', 'invariants', 'of', 'links', 'by', 'modified', 'quantum', 'dimensions', 'in', 'the', 'case', 'of', 'simple', 'lie', 'algebras', 'these', 'modified', 'quantum', 'dimensions', 'are', 'proportional', 'to', 'the', 'usual', 'quantum', 'dimensions', 'more', 'interestingly', 'we', 'will', 'give', 'two', 'examples', 'where', 'the', 'usual', 'quantum', 'dimensions', 'vanish', 'but', 'the', 'modified', 'quantum', 'dimensions', 'are', 'nonzero', 'and', 'lead', 'to', 'nontrivial', 'link', 'invariants', 'the', 'first', 'of', 'these', 'examples', 'is', 'a', 'class', 'of', 'invariants', 'arising', 'from', 'lie', 'superalgebras', 'previously', 'defined', 'by', 'the', 'first', 'two', 'authors', 'these', 'link', 'invariants', 'are', 'multivariable', 'and', 'generalize', 'the', 'multivariable', 'alexander', 'polynomial', 'the', 'second', 'example', 'is', 'a', 'hierarchy', 'of', 'link', 'invariants', 'arising', 'from', 'nilpotent', 'representations', 'of', 'quantized', 'sl2', 'at', 'a', 'root', 'of', 'unity', 'these', 'invariants', 'contain', 'kashaevs', 'quantum', 'dilogarithm', 'invariants', 'of', 'knots']] | [-0.22566416403072165, 0.16425301655075483, -0.06860667301507126, 0.07418240366912927, -0.11033094975902068, -0.21331787985118647, -0.05212353559815505, 0.2509779717037154, -0.30749578363893015, -0.2533326035237781, 0.08080462878945494, -0.2506957438684279, -0.2440128876384528, 0.19676172031059622, -0.10441855021241692, 0.023512827773247997, 0.011230027783782251, 0.09174872162158511, -0.14421514888864853, -0.3313336451087267, 0.4168460561439485, -0.03960728669828255, 0.17867572984147456, 0.03957256780479163, 0.08691304392508051, -0.0542630688831841, -0.04667371815453554, 0.004841596406373766, -0.18978671474202025, 0.1281678427476436, 0.30913267697718355, -0.0019233262414232858, 0.13001410306429945, -0.38332006046027434, -0.12616406321420423, 0.11184011238266624, 0.12939744360459549, 0.10273010121853722, 0.021892583873963187, -0.2909115860670535, 0.08511814550166169, -0.2219458574864773, -0.15232081647451606, -0.09525280888192356, -0.026493201783347513, -0.024908389430493116, -0.16736584451733036, 0.09194063634852008, 0.06626377872852308, 0.10499420533737829, 0.015167219491089665, -0.08214691543593465, 0.0020359894035444142, 0.13381513246079726, -0.023909804910691754, -0.024276083924867693, 0.0847571847487181, -0.14397724767989148, -0.2433483017863886, 0.37273375578825513, 0.02382613392546773, -0.262651102797639, 0.17386295619766198, -0.11353743651641472, -0.2004717763460752, 0.0918804498599662, 0.07221624059151978, 0.11573614398648421, -0.04434858743972596, 0.16142228956901347, -0.07834289590227267, 0.039089630180481644, 0.1134961646983415, 0.0522428878898462, 0.17983163790326687, -0.03333275163200714, 0.019841369849839998, 0.17867970597299357, 0.011706233873302418, -0.15189026027632457, -0.38642351913656436, -0.2521053303498775, -0.1519939545072585, 0.15670214796574006, -0.12667469353571856, -0.14437413740632754, 0.44950533653759667, 0.0879043932035265, 0.15439787317412876, 0.1406107121165992, 0.24572092468940443, 0.16249159239082328, 0.11594384846713153, 0.028939208503992807, 0.15493141475223726, 0.21263707051759645, 0.023824693897979393, -0.14502114554582682, -0.05328081210233992, 0.2192060186681638] |
711.423 | Discovery of ultra-compact nuclear rings in three spiral galaxies | Ring-shaped morphologies of nuclear star-forming regions within the central
40-200 pc of disk galaxies have been barely resolved so far in three composite
Sy2 nuclei, the Sy2 Circinus galaxy and in three non-AGN galaxies. Such
morphologies resemble those of the standard 1 kpc-size nuclear rings that lie
in the inner Lindblad resonance regions of disk galaxies and, if they have a
similar origin, represent recent radial gas inflows tantalisingly close to the
central supermassive black holes. We aim to identify the population of such
ultra-compact nuclear rings (UCNRs) and study their properties in relation to
those of the host galaxies. From archival Hubble Space Telescope UV and Halpha
images and from dust structure maps of the circumnuclear regions in nearby
galaxies, we analyse the morphology of the star formation and dust,
specifically searching for ring structures on the smallest observable scales.
In a sample of 38 galaxies studied, we have detected a total of four new UCNRs,
30-130 pc in radius, in three different galaxies. Including our confirmation of
a previous UCNR detection, this yields a UCNR fraction of roughly 10%, although
our sample is neither complete nor unbiased. For the first time we resolve
UCNRs in two LINERs. Overall the UCNR phenomenon appears widespread and limited
neither to late-type galaxies nor exclusively to AGN hosts.
| astro-ph | ringshaped morphologies of nuclear starforming regions within the central 40200 pc of disk galaxies have been barely resolved so far in three composite sy2 nuclei the sy2 circinus galaxy and in three nonagn galaxies such morphologies resemble those of the standard 1 kpcsize nuclear rings that lie in the inner lindblad resonance regions of disk galaxies and if they have a similar origin represent recent radial gas inflows tantalisingly close to the central supermassive black holes we aim to identify the population of such ultracompact nuclear rings ucnrs and study their properties in relation to those of the host galaxies from archival hubble space telescope uv and halpha images and from dust structure maps of the circumnuclear regions in nearby galaxies we analyse the morphology of the star formation and dust specifically searching for ring structures on the smallest observable scales in a sample of 38 galaxies studied we have detected a total of four new ucnrs 30130 pc in radius in three different galaxies including our confirmation of a previous ucnr detection this yields a ucnr fraction of roughly 10 although our sample is neither complete nor unbiased for the first time we resolve ucnrs in two liners overall the ucnr phenomenon appears widespread and limited neither to latetype galaxies nor exclusively to agn hosts | [['ringshaped', 'morphologies', 'of', 'nuclear', 'starforming', 'regions', 'within', 'the', 'central', '40200', 'pc', 'of', 'disk', 'galaxies', 'have', 'been', 'barely', 'resolved', 'so', 'far', 'in', 'three', 'composite', 'sy2', 'nuclei', 'the', 'sy2', 'circinus', 'galaxy', 'and', 'in', 'three', 'nonagn', 'galaxies', 'such', 'morphologies', 'resemble', 'those', 'of', 'the', 'standard', '1', 'kpcsize', 'nuclear', 'rings', 'that', 'lie', 'in', 'the', 'inner', 'lindblad', 'resonance', 'regions', 'of', 'disk', 'galaxies', 'and', 'if', 'they', 'have', 'a', 'similar', 'origin', 'represent', 'recent', 'radial', 'gas', 'inflows', 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711.4231 | An invariant supertrace for the category of representations of Lie
superalgebras | In this paper we give a re-normalization of the supertrace on the category of
representations of Lie superalgebras of type I, by a kind of modified
superdimension. The genuine superdimensions and supertraces are generically
zero. However, these modified superdimensions are non-zero and lead to a kind
of supertrace which is non-trivial and invariant. As an application we show
that this new supertrace gives rise to a non-zero bilinear form on a space of
invariant tensors of a Lie superalgebra of type I. The results of this paper
are completely classical results in the theory of Lie superalgebras but
surprisingly we can not prove them without using quantum algebra and
low-dimensional topology.
| math.RT math.QA | in this paper we give a renormalization of the supertrace on the category of representations of lie superalgebras of type i by a kind of modified superdimension the genuine superdimensions and supertraces are generically zero however these modified superdimensions are nonzero and lead to a kind of supertrace which is nontrivial and invariant as an application we show that this new supertrace gives rise to a nonzero bilinear form on a space of invariant tensors of a lie superalgebra of type i the results of this paper are completely classical results in the theory of lie superalgebras but surprisingly we can not prove them without using quantum algebra and lowdimensional topology | [['in', 'this', 'paper', 'we', 'give', 'a', 'renormalization', 'of', 'the', 'supertrace', 'on', 'the', 'category', 'of', 'representations', 'of', 'lie', 'superalgebras', 'of', 'type', 'i', 'by', 'a', 'kind', 'of', 'modified', 'superdimension', 'the', 'genuine', 'superdimensions', 'and', 'supertraces', 'are', 'generically', 'zero', 'however', 'these', 'modified', 'superdimensions', 'are', 'nonzero', 'and', 'lead', 'to', 'a', 'kind', 'of', 'supertrace', 'which', 'is', 'nontrivial', 'and', 'invariant', 'as', 'an', 'application', 'we', 'show', 'that', 'this', 'new', 'supertrace', 'gives', 'rise', 'to', 'a', 'nonzero', 'bilinear', 'form', 'on', 'a', 'space', 'of', 'invariant', 'tensors', 'of', 'a', 'lie', 'superalgebra', 'of', 'type', 'i', 'the', 'results', 'of', 'this', 'paper', 'are', 'completely', 'classical', 'results', 'in', 'the', 'theory', 'of', 'lie', 'superalgebras', 'but', 'surprisingly', 'we', 'can', 'not', 'prove', 'them', 'without', 'using', 'quantum', 'algebra', 'and', 'lowdimensional', 'topology']] | [-0.17637486339060102, 0.11180656227644487, -0.09397010857591757, 0.056757223068711324, -0.15702351478037532, -0.1429040452952052, 0.0007667858394802557, 0.31889634896992697, -0.28945996026667925, -0.22968841569397497, 0.10171161247480258, -0.21710862343509993, -0.22659692112859842, 0.18351650014855303, -0.11159777506212662, -0.0613282479530385, 0.038700293655180046, 0.12613391350568817, -0.1532773775791095, -0.2545174135100768, 0.4278033702667836, -0.024363491966321996, 0.22035811497485852, 0.042373969848897006, 0.1326694487015138, -0.04441706754418241, 0.003456037984489723, 0.01600137814802856, -0.1234154302225294, 0.1502433694345323, 0.2586169549838749, 0.06045660968064456, 0.17919421691745352, -0.37349509798946817, -0.10910180703996941, 0.14305002772593284, 0.15714965774971354, 0.12345349858619843, -0.05466062962790733, -0.2803909951351113, 0.11144244356861187, -0.22436894010332925, -0.12821264482346606, -0.13012000718699382, 0.003029971635220824, -0.04227489118594341, -0.2533374850508161, 0.07111308528613802, 0.12417646201310663, 0.07174789800669427, -0.08208116926966016, -0.09936245221241906, -0.015496629302868166, 0.07663149650519092, -0.013113023505571324, -0.008168118808687001, 0.06580310558841505, -0.12356187066122017, -0.13540171999232592, 0.3582604201174937, -0.04763713651882098, -0.24281968079037494, 0.15870728025313569, -0.1377486264761034, -0.18718878054353702, 0.07680761314685212, 0.09851867448840593, 0.12786409393087164, -0.11020708715056514, 0.16606394331356897, -0.10723019289775743, 0.04144359543093119, 0.03863721929473786, 0.05024988644311691, 0.17455124491217403, 0.0664595431681756, 0.06825110130012035, 0.11530518440345118, 0.014446210751450528, -0.05522472401325767, -0.4039993829907732, -0.2206597884462492, -0.1372001253064252, 0.1527830762978746, -0.07578262466012274, -0.1775331663655805, 0.4434895252930588, 0.12186709404367164, 0.21143798402149802, 0.09955412979334223, 0.1768226292621982, 0.13900488417811674, 0.12495765930696114, 0.036319794674479475, 0.18880373698466266, 0.18580582870699064, 0.030803477844676456, -0.14030094805114843, -0.05003843027343218, 0.16245733821965955] |
711.4232 | Lepton Generation Problem, Some Properties and Implications of the
Curved Spacetime Dirac Equation -- (II) | This reading is a continuation of the earlier reading Nyambuya (2008); where
three new Curved Spacetime Dirac Equations have been derived mainly to try and
account in a natural way for the observed anomalous gyromagnetic ratio of
fermions and the suggestions is that particles including the Electron, which is
thought to be a point particle, do have a finite spatial size and this is one
of the reasons for the observed anomalous gyromagnetic ratio. Combining the
idea in Nyambuya (2008) which lead to the derivation of the three new Curved
Spacetime Dirac Equations, and the proposed Unified Field Theory (Nyambuya
2007), a total of 12 equations each with 16 sub-components are generated thus
leading to a total of 192 equations for the Curved Spacetime Dirac Equation.
Some symmetries of these equations are investigated, i.e., the Lorentz
symmetry, charge conjugation symmetry (C), time reversal symmetry (T), Space
reversal (P) and a combination of the C, P and T - symmetries. It is shown that
these equations are Lorentz invariant, obey C-symmetry and that some violate T
and P-symmetry while others do not and that they all obey PT-symmetry. These
symmetries show (or modestly said -- seem to suggest) that anti-particles have
positive mass and energy but a negative rest-mass and the opposite sign in
electronic charge. Through the inspection of these symmetries, a suggestion is
(here) made to the effect that the rest-mass of a particle must be related to
the electronic charge of that particle thus leading us to a possible resolution
of whether or not Neutrinos do have a none-zero rest-mass. Additionally, we
demonstrate that these equations have the potency to explain naturally the
observed lepton generation phenomena.
| physics.gen-ph | this reading is a continuation of the earlier reading nyambuya 2008 where three new curved spacetime dirac equations have been derived mainly to try and account in a natural way for the observed anomalous gyromagnetic ratio of fermions and the suggestions is that particles including the electron which is thought to be a point particle do have a finite spatial size and this is one of the reasons for the observed anomalous gyromagnetic ratio combining the idea in nyambuya 2008 which lead to the derivation of the three new curved spacetime dirac equations and the proposed unified field theory nyambuya 2007 a total of 12 equations each with 16 subcomponents are generated thus leading to a total of 192 equations for the curved spacetime dirac equation some symmetries of these equations are investigated ie the lorentz symmetry charge conjugation symmetry c time reversal symmetry t space reversal p and a combination of the c p and t symmetries it is shown that these equations are lorentz invariant obey csymmetry and that some violate t and psymmetry while others do not and that they all obey ptsymmetry these symmetries show or modestly said seem to suggest that antiparticles have positive mass and energy but a negative restmass and the opposite sign in electronic charge through the inspection of these symmetries a suggestion is here made to the effect that the restmass of a particle must be related to the electronic charge of that particle thus leading us to a possible resolution of whether or not neutrinos do have a nonezero restmass additionally we demonstrate that these equations have the potency to explain naturally the observed lepton generation phenomena | [['this', 'reading', 'is', 'a', 'continuation', 'of', 'the', 'earlier', 'reading', 'nyambuya', '2008', 'where', 'three', 'new', 'curved', 'spacetime', 'dirac', 'equations', 'have', 'been', 'derived', 'mainly', 'to', 'try', 'and', 'account', 'in', 'a', 'natural', 'way', 'for', 'the', 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711.4233 | Static structure factor for graphene in a magnetic field | A close study is made of the static structure factor for graphene in a
magnetic field at integer filling factors nu, with focus on revealing possible
signatures of "relativistic" quantum field theory in the low-energy physics of
graphene. It is pointed out, in particular, that for graphene even the vacuum
state has a nonzero density spectral weight, which, together with the structure
factor for all nu, grows significantly with increasing wave vector; such
unusual features of density correlations are a "relativistic" effect deriving
from massless Dirac quasiparticles in graphene. Remarkably it turns out that
the zero-energy Landau levels of electrons or holes, characteristic to
graphene, remain indistinguishable in density response from the vacuum state,
although they are distinct in Hall conductance.
| cond-mat.mes-hall | a close study is made of the static structure factor for graphene in a magnetic field at integer filling factors nu with focus on revealing possible signatures of relativistic quantum field theory in the lowenergy physics of graphene it is pointed out in particular that for graphene even the vacuum state has a nonzero density spectral weight which together with the structure factor for all nu grows significantly with increasing wave vector such unusual features of density correlations are a relativistic effect deriving from massless dirac quasiparticles in graphene remarkably it turns out that the zeroenergy landau levels of electrons or holes characteristic to graphene remain indistinguishable in density response from the vacuum state although they are distinct in hall conductance | [['a', 'close', 'study', 'is', 'made', 'of', 'the', 'static', 'structure', 'factor', 'for', 'graphene', 'in', 'a', 'magnetic', 'field', 'at', 'integer', 'filling', 'factors', 'nu', 'with', 'focus', 'on', 'revealing', 'possible', 'signatures', 'of', 'relativistic', 'quantum', 'field', 'theory', 'in', 'the', 'lowenergy', 'physics', 'of', 'graphene', 'it', 'is', 'pointed', 'out', 'in', 'particular', 'that', 'for', 'graphene', 'even', 'the', 'vacuum', 'state', 'has', 'a', 'nonzero', 'density', 'spectral', 'weight', 'which', 'together', 'with', 'the', 'structure', 'factor', 'for', 'all', 'nu', 'grows', 'significantly', 'with', 'increasing', 'wave', 'vector', 'such', 'unusual', 'features', 'of', 'density', 'correlations', 'are', 'a', 'relativistic', 'effect', 'deriving', 'from', 'massless', 'dirac', 'quasiparticles', 'in', 'graphene', 'remarkably', 'it', 'turns', 'out', 'that', 'the', 'zeroenergy', 'landau', 'levels', 'of', 'electrons', 'or', 'holes', 'characteristic', 'to', 'graphene', 'remain', 'indistinguishable', 'in', 'density', 'response', 'from', 'the', 'vacuum', 'state', 'although', 'they', 'are', 'distinct', 'in', 'hall', 'conductance']] | [-0.1817966335653212, 0.23638511322100053, -0.07879612531343644, 0.04931698945997483, -0.005841840589649914, -0.17072172212791592, 0.040399534701877696, 0.3521860092416529, -0.23225914440618073, -0.27900640893542816, -0.024211253522518128, -0.30755113564385483, -0.138337922038141, 0.16019574977449827, 0.06342808908421146, 0.02654976830317462, 0.0076177487080562704, 0.03782448937639225, -0.0847696479749558, -0.19716110135513273, 0.3528431601599167, 0.07098199049499625, 0.2906047082467636, 0.04177949178486693, 0.03330139641857837, -0.020257904586836326, 0.04783961782616771, 0.06999237639136797, -0.09804799569415194, 0.015054820528761908, 0.25334389548564007, -0.06931116703266571, 0.23064743791329712, -0.43118146917790423, -0.20632660239627046, 0.012291469434199254, 0.12424644778775097, 0.15539690575750992, -0.04844767679094745, -0.26609048238101085, 0.06128162921075363, -0.12942694154306322, -0.15393523554787164, -0.07660129212597308, 0.038262452274052935, -0.0679840439072356, -0.2159151829026778, 0.1058360616741933, 0.015655302077008427, 0.024331902517467613, -0.07252521722477452, -0.18083413076502355, -0.05864781280979514, 0.06938068311053429, 0.08409787672533353, 0.04640932263968097, 0.16139931051630127, -0.22001188887237025, -0.10051280280097949, 0.38095377380998174, -0.06194309892579297, -0.1652716605593104, 0.15976512421322756, -0.2331735715231558, -0.09976763407553522, 0.19628981268995496, 0.0964999328567531, 0.05786614961275631, -0.08697675253276152, 0.13017564434808301, -0.05895103603370068, 0.1478828646055969, 0.0887626547997525, 0.11263094591708038, 0.31401088996982773, 0.118920277163852, 0.04549189480714315, 0.10372744253855815, -0.08393695531028116, -0.05729478639252253, -0.26833771391625494, -0.17410366891783255, -0.2093511040770826, 0.14277648491713252, -0.036866538569115655, -0.22052762844438148, 0.4204772934317589, 0.11403886241114829, 0.1769563480134099, -0.03162089563532894, 0.22728323796923366, 0.16951649672205538, 0.07408275944758053, 0.08808398090518457, 0.26033749713847215, 0.15760251235463157, 0.0531025136559278, -0.24262579769080828, -0.009689233000996361, -0.004194575105986196] |
711.4234 | Magnetotransport of electrons in quantum Hall systems | Recent theoretical results on magnetotransport of electrons in a 2D system in
the range of moderately strong transverse magnetic fields are reviewed. The
phenomena discussed include: quasiclassical memory effects in systems with
various types of disorder, transport in lateral superlattices,
interaction-induced quantum magnetoresistance, quantum magnetooscillations in
dc and ac transport, and oscillatory microwave photoconductivity.
| cond-mat.dis-nn cond-mat.mes-hall | recent theoretical results on magnetotransport of electrons in a 2d system in the range of moderately strong transverse magnetic fields are reviewed the phenomena discussed include quasiclassical memory effects in systems with various types of disorder transport in lateral superlattices interactioninduced quantum magnetoresistance quantum magnetooscillations in dc and ac transport and oscillatory microwave photoconductivity | [['recent', 'theoretical', 'results', 'on', 'magnetotransport', 'of', 'electrons', 'in', 'a', '2d', 'system', 'in', 'the', 'range', 'of', 'moderately', 'strong', 'transverse', 'magnetic', 'fields', 'are', 'reviewed', 'the', 'phenomena', 'discussed', 'include', 'quasiclassical', 'memory', 'effects', 'in', 'systems', 'with', 'various', 'types', 'of', 'disorder', 'transport', 'in', 'lateral', 'superlattices', 'interactioninduced', 'quantum', 'magnetoresistance', 'quantum', 'magnetooscillations', 'in', 'dc', 'and', 'ac', 'transport', 'and', 'oscillatory', 'microwave', 'photoconductivity']] | [-0.26016321681715826, 0.24634686004180736, 0.008036458502627082, 0.021671981033351686, 0.010377113569389891, -0.15543461390081104, 0.0045689320778129275, 0.3874840891652706, -0.24689485387945617, -0.2776994855591544, -0.04437519616180065, -0.3140077746507746, -0.1821152500859979, 0.3264483573492961, 0.004606430539516387, 0.11401062496696357, -0.002007836527708504, -0.12097676638600037, -0.047632644660081026, -0.19954962727475772, 0.27522673468208975, -0.009004432350155656, 0.3570872834297242, 0.12175727432110796, 0.012191971488021038, 0.018862696317093516, 0.07895377188645027, 0.09933719525320663, -0.12346996986134737, -0.005453469611152455, 0.23619580668983636, -0.21312366068121735, 0.18219634155846304, -0.5220806840117331, -0.27851307743953335, -0.0697180311695707, 0.12657307453574268, 0.18081796828105492, -0.13005156138334079, -0.3051964519545436, 0.0062031407702576235, -0.12299854047941389, -0.053211736113384915, -0.12915849395924145, -6.0050541328059305e-05, 0.06556149992953848, -0.21973762171411956, 0.17099748712239993, 0.06544307383268864, 0.16560352652299185, -0.09665208941118585, -0.11353153345300127, 0.010486973369821769, 0.02213881560601294, 0.04981411865877884, -0.012055934631024246, 0.1946143574529776, -0.16744700762339765, -0.22471388167253248, 0.30932728739248383, -0.04708955439963137, -0.10453195694006151, 0.18996162067546887, -0.2658517080600615, -0.07647247571946571, 0.10694446412122084, 0.17933566485428148, 0.0678175354755863, -0.1776793699418367, 0.11424538653335292, 0.037238607114111935, 0.07482822053134441, 0.008034886524978059, 0.18080046728977728, 0.28568799790270905, 0.18095270368374056, -0.025249439507239946, 0.12258499950877633, -0.14286594114835477, -0.07025304760059549, -0.22477486953829173, -0.10949257097241503, -0.1830363350196017, 0.13207281227396042, -0.05861761635632892, -0.2376437853090465, 0.4279023183561448, 0.19908946726678145, 0.13544043474313286, -0.0995777896605432, 0.2658230498157166, 0.12088941962078766, 0.026826372404617292, 0.003055475462504007, 0.24701861778912307, 0.27073051659735264, 0.25316316417970314, -0.33860954638846497, 0.01069822191062418, -0.04016925110395446] |
711.4235 | On relationships among Chern-Simons theory, BF theory and matrix model | Chern-Simons theory on a U(1) bundle over a Riemann surface \Sigma_g of genus
g is dimensionally reduced to BF theory with a mass term, which is equivalent
to the two-dimensional Yang-Mills on \Sigma_g. We show that the former is
inversely obtained from the latter by the extended matrix T-duality developed
in hep-th/0703021. For the case of g=0 (i.e. S^2), the U(1) bundle represents
the lens space S^3/Z_p. We find that in this case both the Chern-Simons theory
and the BF theory with the mass term are realized in a matrix model. We also
construct Wilson loops in the matrix model that correspond to those in the
Chern-Simons theory on S^3.
| hep-th | chernsimons theory on a u1 bundle over a riemann surface sigma_g of genus g is dimensionally reduced to bf theory with a mass term which is equivalent to the twodimensional yangmills on sigma_g we show that the former is inversely obtained from the latter by the extended matrix tduality developed in hepth0703021 for the case of g0 ie s2 the u1 bundle represents the lens space s3z_p we find that in this case both the chernsimons theory and the bf theory with the mass term are realized in a matrix model we also construct wilson loops in the matrix model that correspond to those in the chernsimons theory on s3 | [['chernsimons', 'theory', 'on', 'a', 'u1', 'bundle', 'over', 'a', 'riemann', 'surface', 'sigma_g', 'of', 'genus', 'g', 'is', 'dimensionally', 'reduced', 'to', 'bf', 'theory', 'with', 'a', 'mass', 'term', 'which', 'is', 'equivalent', 'to', 'the', 'twodimensional', 'yangmills', 'on', 'sigma_g', 'we', 'show', 'that', 'the', 'former', 'is', 'inversely', 'obtained', 'from', 'the', 'latter', 'by', 'the', 'extended', 'matrix', 'tduality', 'developed', 'in', 'hepth0703021', 'for', 'the', 'case', 'of', 'g0', 'ie', 's2', 'the', 'u1', 'bundle', 'represents', 'the', 'lens', 'space', 's3z_p', 'we', 'find', 'that', 'in', 'this', 'case', 'both', 'the', 'chernsimons', 'theory', 'and', 'the', 'bf', 'theory', 'with', 'the', 'mass', 'term', 'are', 'realized', 'in', 'a', 'matrix', 'model', 'we', 'also', 'construct', 'wilson', 'loops', 'in', 'the', 'matrix', 'model', 'that', 'correspond', 'to', 'those', 'in', 'the', 'chernsimons', 'theory', 'on', 's3']] | [-0.16418873965142106, 0.13556007687173305, -0.04335122758847311, 0.04772908492825515, -0.03629657332230052, -0.12704464480485939, -0.027483516403713153, 0.3355616927745009, -0.18053673302600964, -0.24768066140096806, 0.0702548024507342, -0.2631405031206001, -0.23185445048308018, 0.13318305330590233, -0.08354896656344346, -0.023180204563252968, -0.01354936141640358, 0.11228222222229757, -0.16287906883378436, -0.2648834541393017, 0.3290518084284636, -0.02780394820462263, 0.22321643981091474, 0.05678719461579389, 0.10792053328963731, -0.01143227639146696, 0.01996052138712428, 0.022110486629263095, -0.12857332587590037, 0.11117326810212652, 0.21685129957734992, 0.023568427241450057, 0.10479146390811565, -0.4291189002437056, -0.24269338023054218, 0.07102131647476499, 0.096287951996943, 0.054033616902691164, 0.049125414915220524, -0.27747535921308564, 0.058885736604554394, -0.20136241131214375, -0.12179555048004066, -0.028447129740166145, 0.028894786475175016, -0.1097113876646265, -0.25071523404987783, 0.05931515405312343, -0.012342732017347162, 0.01013436254301886, -0.05985443503809495, -0.07016268823671779, -0.10815763339366115, 0.03186836492680355, 0.11258976605780628, 0.1527792014813888, 0.1007378268517007, -0.1573104518017125, -0.07082206060375096, 0.3877088029723649, -0.15443581301684772, -0.2703661462206633, 0.11597479220240488, -0.1545530114965855, -0.16227162070572376, 0.13055124149972588, 0.11195476338216061, 0.15686303806926952, -0.048489577042947124, 0.2295355983329467, -0.12237761261522634, 0.15984178002957905, 0.021871433674503084, -0.0563489791783376, 0.21552441596403854, 0.0875955649860921, 0.07689884411803352, 0.10909363424935199, -0.04761935780551114, -0.11421239757782208, -0.3712276289700915, -0.17722242304931368, -0.15388615992253457, 0.13676889068148004, -0.10461901935709773, -0.16996534226393892, 0.36042822007551245, 0.09744140943255994, 0.18557022626451944, 0.11560201324595121, 0.20066747106419483, 0.14023139686622751, 0.09134405609134824, 0.04691386556919288, 0.19564959272975102, 0.21300523474581812, 0.006499029227122323, -0.242502435798321, -0.12691268505562747, 0.2150702307581765] |
711.4236 | The Schur transformation for Nevanlinna functions: operator
representations, resolvent matrices, and orthogonal polynomials | A Nevanlinna function is a function which is analytic in the open upper half
plane and has a non-negative imaginary part there. In this paper we study a
fractional linear transformation for a Nevanlinna function $n$ with a suitable
asymptotic expansion at $\infty$, that is an analogue of the Schur
transformation for contractive analytic functions in the unit disc. Applying
the transformation $p$ times we find a Nevanlinna function $n_p$ which is a
fractional linear transformation of the given function $n$. The main results
concern the effect of this transformation to the realizations of $n$ and $n_p$,
by which we mean their representations through resolvents of self-adjoint
operators in Hilbert space. Our tools are block operator matrix
representations, $u$--resolvent matrices, and reproducing kernel Hilbert
spaces.
| math.FA math.CV | a nevanlinna function is a function which is analytic in the open upper half plane and has a nonnegative imaginary part there in this paper we study a fractional linear transformation for a nevanlinna function n with a suitable asymptotic expansion at infty that is an analogue of the schur transformation for contractive analytic functions in the unit disc applying the transformation p times we find a nevanlinna function n_p which is a fractional linear transformation of the given function n the main results concern the effect of this transformation to the realizations of n and n_p by which we mean their representations through resolvents of selfadjoint operators in hilbert space our tools are block operator matrix representations uresolvent matrices and reproducing kernel hilbert spaces | [['a', 'nevanlinna', 'function', 'is', 'a', 'function', 'which', 'is', 'analytic', 'in', 'the', 'open', 'upper', 'half', 'plane', 'and', 'has', 'a', 'nonnegative', 'imaginary', 'part', 'there', 'in', 'this', 'paper', 'we', 'study', 'a', 'fractional', 'linear', 'transformation', 'for', 'a', 'nevanlinna', 'function', 'n', 'with', 'a', 'suitable', 'asymptotic', 'expansion', 'at', 'infty', 'that', 'is', 'an', 'analogue', 'of', 'the', 'schur', 'transformation', 'for', 'contractive', 'analytic', 'functions', 'in', 'the', 'unit', 'disc', 'applying', 'the', 'transformation', 'p', 'times', 'we', 'find', 'a', 'nevanlinna', 'function', 'n_p', 'which', 'is', 'a', 'fractional', 'linear', 'transformation', 'of', 'the', 'given', 'function', 'n', 'the', 'main', 'results', 'concern', 'the', 'effect', 'of', 'this', 'transformation', 'to', 'the', 'realizations', 'of', 'n', 'and', 'n_p', 'by', 'which', 'we', 'mean', 'their', 'representations', 'through', 'resolvents', 'of', 'selfadjoint', 'operators', 'in', 'hilbert', 'space', 'our', 'tools', 'are', 'block', 'operator', 'matrix', 'representations', 'uresolvent', 'matrices', 'and', 'reproducing', 'kernel', 'hilbert', 'spaces']] | [-0.1267780184017254, 0.09291937713046096, -0.12109836036219232, 0.07666228300208346, -0.06973400691358914, -0.06838920379748507, 0.010905010530897867, 0.33826663435977555, -0.30461645355793615, -0.16994841497827082, 0.1181713176680909, -0.29119610120241923, -0.19822016877925866, 0.15196910648486547, -0.04252331702399158, 0.10456159110781887, 0.00651913937256341, 0.02454980675529148, -0.17423996341136855, -0.23851914443976938, 0.3807647136085096, -0.015340340413874196, 0.18939871055960295, 0.008134526926310613, 0.11668277908522155, 0.030625329108818645, -0.02191847991273408, -0.09124087362062945, -0.12801412406834942, 0.1115127980123244, 0.2890755912258981, 0.10658485275663195, 0.3159653563615716, -0.3575472336022123, -0.15328079073749964, 0.17685547180383676, 0.14223670825782803, -0.0033311339615348487, -0.032150451349274765, -0.23344517692983632, 0.04972735906560575, -0.12123192089324396, -0.15846185833065501, -0.041671900794045216, 0.09144383656131404, 0.016979507670076863, -0.3594129446653589, 0.0396603229328614, 0.09309907769408798, 0.06357785916090154, -0.07628823802318244, -0.13687675008400074, 0.02130384918024403, 0.060589336174269835, -0.00864116825734175, 0.10010231676466402, 0.09991863196140208, -0.06117606771013309, -0.05179460194607776, 0.3107533241441894, -0.09029209675293626, -0.2952269178725058, 0.09674463236343957, -0.2088404840436734, -0.12583238059174148, 0.07352840337496731, 0.10936577456642783, 0.14914614091356915, -0.09876567150105632, 0.2109457403444873, -0.11595287341474285, 0.1201864205452899, 0.07611451462106479, 0.013106847683253188, 0.11532348875827607, 0.0780676125188268, 0.09243772471428759, 0.1808871243614586, 0.05677906070430312, -0.06951854565141408, -0.3760515119459841, -0.20173268086997972, -0.2252076084532159, 0.07694070303301898, -0.15322202034334506, -0.20640356778242294, 0.4156088438448346, 0.05274798881427775, 0.24059402070669156, 0.10709220487079883, 0.23860824939554498, 0.22846721454181768, 0.0813361796711932, 0.04937920802753539, 0.09931240598633585, 0.19736172130797058, 0.057521550258952045, -0.18864209474545093, -0.0060002143952935455, 0.19498399824970553] |
711.4237 | Scaling algebras and pointlike fields: A nonperturbative approach to
renormalization | We present a method of short-distance analysis in quantum field theory that
does not require choosing a renormalization prescription a priori. We set out
from a local net of algebras with associated pointlike quantum fields. The net
has a naturally defined scaling limit in the sense of Buchholz and Verch; we
investigate the effect of this limit on the pointlike fields. Both for the
fields and their operator product expansions, a well-defined limit procedure
can be established. This can always be interpreted in the usual sense of
multiplicative renormalization, where the renormalization factors are
determined by our analysis. We also consider the limits of symmetry actions. In
particular, for suitable limit states, the group of scaling transformations
induces a dilation symmetry in the limit theory.
| math-ph hep-th math.MP math.OA | we present a method of shortdistance analysis in quantum field theory that does not require choosing a renormalization prescription a priori we set out from a local net of algebras with associated pointlike quantum fields the net has a naturally defined scaling limit in the sense of buchholz and verch we investigate the effect of this limit on the pointlike fields both for the fields and their operator product expansions a welldefined limit procedure can be established this can always be interpreted in the usual sense of multiplicative renormalization where the renormalization factors are determined by our analysis we also consider the limits of symmetry actions in particular for suitable limit states the group of scaling transformations induces a dilation symmetry in the limit theory | [['we', 'present', 'a', 'method', 'of', 'shortdistance', 'analysis', 'in', 'quantum', 'field', 'theory', 'that', 'does', 'not', 'require', 'choosing', 'a', 'renormalization', 'prescription', 'a', 'priori', 'we', 'set', 'out', 'from', 'a', 'local', 'net', 'of', 'algebras', 'with', 'associated', 'pointlike', 'quantum', 'fields', 'the', 'net', 'has', 'a', 'naturally', 'defined', 'scaling', 'limit', 'in', 'the', 'sense', 'of', 'buchholz', 'and', 'verch', 'we', 'investigate', 'the', 'effect', 'of', 'this', 'limit', 'on', 'the', 'pointlike', 'fields', 'both', 'for', 'the', 'fields', 'and', 'their', 'operator', 'product', 'expansions', 'a', 'welldefined', 'limit', 'procedure', 'can', 'be', 'established', 'this', 'can', 'always', 'be', 'interpreted', 'in', 'the', 'usual', 'sense', 'of', 'multiplicative', 'renormalization', 'where', 'the', 'renormalization', 'factors', 'are', 'determined', 'by', 'our', 'analysis', 'we', 'also', 'consider', 'the', 'limits', 'of', 'symmetry', 'actions', 'in', 'particular', 'for', 'suitable', 'limit', 'states', 'the', 'group', 'of', 'scaling', 'transformations', 'induces', 'a', 'dilation', 'symmetry', 'in', 'the', 'limit', 'theory']] | [-0.15127371881902218, 0.1423944315612316, -0.14281720054149627, 0.06518091555498541, -0.044168731071054936, -0.0689138770289719, 0.08678446726873518, 0.3352609256003052, -0.2616984990388155, -0.24728350257873535, 0.0974140806151554, -0.2327795089110732, -0.15372621059417724, 0.1593968083485961, -0.052236467536538836, 0.022688032262027265, 0.01907933547720313, 0.07574941048771143, -0.10810204745084047, -0.18316880573891103, 0.34889093596488235, 0.018229796264320614, 0.29011842523515224, 0.048614726699888706, 0.10437072363495827, 0.031942785538733004, -0.03835947995632887, 0.06874507526680827, -0.10981385867513017, 0.07936080845957622, 0.21556446686945854, 0.037883733917027713, 0.23825594887137413, -0.3971174100190401, -0.21308683754038066, 0.11134880490601062, 0.15991782714612782, 0.12574746876768766, -0.026377086678519845, -0.29324442411959173, 0.06413941863179207, -0.1938790029976517, -0.15162673777341842, -0.12246940201893448, -0.015503388716839255, -0.017220131875947117, -0.28321776158735157, 0.0872159155139234, 0.0873476240998134, 0.058921460181474684, -0.032048275016248226, -0.04036168757453561, 0.0018882369957864285, 0.12437163849547506, 0.055583682398311796, 0.009944771016016603, 0.14760004995949566, -0.15550001735053956, -0.11369092887826264, 0.38900205532461407, -0.09979921188950538, -0.22840429136040621, 0.14128445908986031, -0.14858732073381542, -0.16356761425733565, 0.05749268751218915, 0.11488679762929678, 0.13975273443758487, -0.13454410760104657, 0.19175980589631944, -0.06979233518987894, 0.12683206383883952, 0.05106244776770472, 0.04980415851995349, 0.17522729084640742, 0.08386797176487744, 0.06989881658554077, 0.10489085632748901, -0.018698355915490537, -0.10250461817160249, -0.39144873720407486, -0.13554264664649962, -0.15412471636384725, 0.11397613316413481, -0.10394156558043323, -0.17977002835273742, 0.35390305367112157, 0.1465196779370308, 0.1919644209444523, 0.04098480744240805, 0.20357952972501517, 0.19870441470679362, 0.12181473056040704, 0.06525087185576559, 0.2472391109317541, 0.17000302496366204, 0.026752634208649397, -0.20272536613605915, -0.023594330206513404, 0.13353070061653852] |
711.4238 | Infinite groups with fixed point properties | We construct finitely generated groups with strong fixed point properties.
Let $\mathcal{X}_{ac}$ be the class of Hausdorff spaces of finite covering
dimension which are mod-$p$ acyclic for at least one prime $p$. We produce the
first examples of infinite finitely generated groups $Q$ with the property that
for any action of $Q$ on any $X\in \mathcal{X}_{ac}$, there is a global fixed
point. Moreover, $Q$ may be chosen to be simple and to have Kazhdan's property
(T). We construct a finitely presented infinite group $P$ that admits no
non-trivial action by diffeomorphisms on any smooth manifold in
$\mathcal{X}_{ac}$. In building $Q$, we exhibit new families of hyperbolic
groups: for each $n\geq 1$ and each prime $p$, we construct a non-elementary
hyperbolic group $G_{n,p}$ which has a generating set of size $n+2$, any proper
subset of which generates a finite $p$-group.
| math.GR math.GT | we construct finitely generated groups with strong fixed point properties let mathcalx_ac be the class of hausdorff spaces of finite covering dimension which are modp acyclic for at least one prime p we produce the first examples of infinite finitely generated groups q with the property that for any action of q on any xin mathcalx_ac there is a global fixed point moreover q may be chosen to be simple and to have kazhdans property t we construct a finitely presented infinite group p that admits no nontrivial action by diffeomorphisms on any smooth manifold in mathcalx_ac in building q we exhibit new families of hyperbolic groups for each ngeq 1 and each prime p we construct a nonelementary hyperbolic group g_np which has a generating set of size n2 any proper subset of which generates a finite pgroup | [['we', 'construct', 'finitely', 'generated', 'groups', 'with', 'strong', 'fixed', 'point', 'properties', 'let', 'mathcalx_ac', 'be', 'the', 'class', 'of', 'hausdorff', 'spaces', 'of', 'finite', 'covering', 'dimension', 'which', 'are', 'modp', 'acyclic', 'for', 'at', 'least', 'one', 'prime', 'p', 'we', 'produce', 'the', 'first', 'examples', 'of', 'infinite', 'finitely', 'generated', 'groups', 'q', 'with', 'the', 'property', 'that', 'for', 'any', 'action', 'of', 'q', 'on', 'any', 'xin', 'mathcalx_ac', 'there', 'is', 'a', 'global', 'fixed', 'point', 'moreover', 'q', 'may', 'be', 'chosen', 'to', 'be', 'simple', 'and', 'to', 'have', 'kazhdans', 'property', 't', 'we', 'construct', 'a', 'finitely', 'presented', 'infinite', 'group', 'p', 'that', 'admits', 'no', 'nontrivial', 'action', 'by', 'diffeomorphisms', 'on', 'any', 'smooth', 'manifold', 'in', 'mathcalx_ac', 'in', 'building', 'q', 'we', 'exhibit', 'new', 'families', 'of', 'hyperbolic', 'groups', 'for', 'each', 'ngeq', '1', 'and', 'each', 'prime', 'p', 'we', 'construct', 'a', 'nonelementary', 'hyperbolic', 'group', 'g_np', 'which', 'has', 'a', 'generating', 'set', 'of', 'size', 'n2', 'any', 'proper', 'subset', 'of', 'which', 'generates', 'a', 'finite', 'pgroup']] | [-0.20114894083989182, 0.16782795048901716, -0.11824445634504123, 0.015452110212758559, -0.09703934251953908, -0.1939584488189853, 0.006647432048758157, 0.38488413120130843, -0.2909507238768416, -0.19301065644450324, 0.07266277337795217, -0.2860319332333563, -0.0830772816799849, 0.21146938929052875, -0.10007908793414186, -0.014806767888769185, 0.02928468534763125, 0.1465845435904674, -0.051460104636017155, -0.2906082878274535, 0.36890127451038457, -0.12064544759898467, 0.16659230841390735, 0.011601199771163704, 0.16171599568450729, 0.007329391436182338, 0.020850616217450164, 0.05699311320589547, -0.16890562013959556, 0.06630356798430892, 0.3121028380441687, 0.07876783328820958, 0.2750566548788451, -0.3042339797151818, -0.19652174129787323, 0.2847566817344414, 0.1167675398772569, 0.0006145553591346247, -0.094313354058888, -0.23331407958594746, 0.2424231713818614, -0.17265667092966305, -0.18616668371443482, -0.07788956500991857, 0.1297584090435462, 0.0064934251575375634, -0.29883357990539816, -0.06116721138907529, 0.12492656633726877, 0.12973264355895867, -0.0300845244728538, -0.10109147816065618, -0.06786103253989823, 0.13384296257541306, -0.03994050565286265, 0.06727784945840593, 0.06279869505921178, -0.021386643690760616, -0.14746756770098648, 0.3829070229465209, -0.05415908792625657, -0.2472099996299195, 0.15155588486734375, -0.2001100263303722, -0.21765162311025338, 0.1743209304877644, 0.12800085520465598, 0.1537573012144794, -0.007021989177564065, 0.23040649707164454, -0.15635638914519934, 0.12999165648964683, 0.1106065419073746, -0.01698623097538546, 0.10322505030982035, 0.077260246959334, 0.13060849784578618, 0.1201343607038541, 0.05177566581933337, 0.0507810273389466, -0.4008926980653041, -0.1268050825397531, -0.16283190767649267, 0.16495848791640277, -0.14643927335570794, -0.20767394703035677, 0.34665134873093784, 0.05000041654122417, 0.1691793471393879, 0.10968216359129564, 0.16831232066661547, 0.08305697593339233, 0.06961965493241445, 0.12576292695062194, 0.035531862498187336, 0.12364580755108606, -0.1423245965161448, -0.12316077697868023, -0.018108370297223248, 0.2013354537365355] |
711.4239 | A parametric study of the lensing properties of dodecagonal photonic
quasicrystals | We present a study of the lensing properties of two-dimensional (2-D)
photonic quasicrystal (PQC) slabs made of dielectric cylinders arranged
according to a 12-fold-symmetric square-triangle aperiodic tiling. Our
full-wave numerical analysis confirms the results recently emerged in the
technical literature and, in particular, the possibility of achieving focusing
effects within several frequency regions. However, contrary to the original
interpretation, such focusing effects turn out to be critically associated to
local symmetry points in the PQC slab, and strongly dependent on its thickness
and termination. Nevertheless, our study reveals the presence of some peculiar
properties, like the ability to focus the light even for slabs with a reduced
lateral width, or beaming effects, which render PQC slabs potentially
interesting and worth of deeper investigation. Key words: Photonic
quasicrystals; negative refraction; superlensing.
| physics.optics | we present a study of the lensing properties of twodimensional 2d photonic quasicrystal pqc slabs made of dielectric cylinders arranged according to a 12foldsymmetric squaretriangle aperiodic tiling our fullwave numerical analysis confirms the results recently emerged in the technical literature and in particular the possibility of achieving focusing effects within several frequency regions however contrary to the original interpretation such focusing effects turn out to be critically associated to local symmetry points in the pqc slab and strongly dependent on its thickness and termination nevertheless our study reveals the presence of some peculiar properties like the ability to focus the light even for slabs with a reduced lateral width or beaming effects which render pqc slabs potentially interesting and worth of deeper investigation key words photonic quasicrystals negative refraction superlensing | [['we', 'present', 'a', 'study', 'of', 'the', 'lensing', 'properties', 'of', 'twodimensional', '2d', 'photonic', 'quasicrystal', 'pqc', 'slabs', 'made', 'of', 'dielectric', 'cylinders', 'arranged', 'according', 'to', 'a', '12foldsymmetric', 'squaretriangle', 'aperiodic', 'tiling', 'our', 'fullwave', 'numerical', 'analysis', 'confirms', 'the', 'results', 'recently', 'emerged', 'in', 'the', 'technical', 'literature', 'and', 'in', 'particular', 'the', 'possibility', 'of', 'achieving', 'focusing', 'effects', 'within', 'several', 'frequency', 'regions', 'however', 'contrary', 'to', 'the', 'original', 'interpretation', 'such', 'focusing', 'effects', 'turn', 'out', 'to', 'be', 'critically', 'associated', 'to', 'local', 'symmetry', 'points', 'in', 'the', 'pqc', 'slab', 'and', 'strongly', 'dependent', 'on', 'its', 'thickness', 'and', 'termination', 'nevertheless', 'our', 'study', 'reveals', 'the', 'presence', 'of', 'some', 'peculiar', 'properties', 'like', 'the', 'ability', 'to', 'focus', 'the', 'light', 'even', 'for', 'slabs', 'with', 'a', 'reduced', 'lateral', 'width', 'or', 'beaming', 'effects', 'which', 'render', 'pqc', 'slabs', 'potentially', 'interesting', 'and', 'worth', 'of', 'deeper', 'investigation', 'key', 'words', 'photonic', 'quasicrystals', 'negative', 'refraction', 'superlensing']] | [-0.12386845456176372, 0.10033089893530736, -0.06247363336268784, 0.029694723037555236, -0.12167596095061117, -0.1403629643582674, 0.05222386640655382, 0.42399425671053254, -0.23857857464531132, -0.2766160755634828, 0.09981479821094968, -0.28699977945919014, -0.1766893165745563, 0.21292090656952356, -0.0059997008250694175, 0.08872144698127454, 0.01940961997205204, -0.06917264671224534, -0.07917318231238471, -0.20257862384409406, 0.29324084355373137, 0.08194470125459885, 0.3162478595889036, 0.06515049192216969, 0.011461388727635607, 0.01602724080457706, -0.031163550375477057, 0.06541855326918443, -0.14198659060774696, 0.09644615113764077, 0.18921636102735534, -0.029682481083874553, 0.23673364800552643, -0.4480361212266053, -0.2504208106666886, 0.04122935406603785, 0.13545129423087476, 0.10189570420858894, -0.0945813592853631, -0.28690874685583884, 0.04735045784420168, -0.07004232893430794, -0.1789235203353645, -0.04934709542972404, -0.0023591883485963526, 0.0070634749600692655, -0.18385183352565523, 0.030371132552219453, 0.09592310164138212, 0.048572248645675505, -0.04161898440829399, -0.09966994546238304, -0.020494043336127154, 0.0686203792647011, 0.05468844775879366, -0.04175584209187664, 0.11904819778125199, -0.11402099730461374, -0.10429365236795861, 0.4420209255849206, 0.00419081163650393, -0.1812771645703086, 0.1880995200282728, -0.17474124637656202, -0.09291384218246207, 0.13496642616079296, 0.17467444743455726, 0.06936920843765775, -0.06995490556420368, 0.03363460706783343, -0.058301836681776034, 0.22401638539840085, 0.11251298230061986, 0.11224305636227824, 0.2715612910976706, 0.1862142405237158, -0.005114631656947178, 0.17817450170820334, -0.07233008467854007, -0.06084930890893145, -0.23764036127994226, -0.14363346127937585, -0.15619817324155985, 0.03907448768862992, -0.09715512967370667, -0.25594676531446997, 0.3965430776047152, 0.1574023098056746, 0.1675699301165088, -0.03698420133207051, 0.25089164280383164, 0.043316862224637306, 0.07135577319873959, 0.02453395806779984, 0.2840572382233651, 0.16732674518008103, 0.0656125327516275, -0.23499621289183004, 0.023149084191509458, 0.010638132113818975] |
711.424 | Quantum effects in atomically perfect specular spin valve structures | A simple tight-binding theoretical model is proposed for spin dependent,
current-in-plane transport in highly coherent spin valve structures under
specularity conditions. Using quantum-mechanically coherent and spatially
quantized Fermi states in the considered multilayered system, a system of
partial Boltzmann kinetic equations is built for relevant subbands to yield the
expressions for conductance in parallel or antiparallel spin valve states and
thus for the magneto-conductance. It is shown that specularity favors the
magnetoresistance to reach its theoretical maximum for this structure close to
100%. This result is practically independent of the model parameters, in
particular it does not even need that lifetimes of majority and minority
carriers be different (as necessary for the quasiclassical regimes). The main
MR effect in the considered limit is due to the transformation of coherent
quantum states, induced by the relative rotation of magnetization in the FM
layers. Numerical calculation based on the specific Boltzmann equation with an
account of spin-dependent specular reflection at the interfaces is also
performed for a typical choice of material parameters.
| cond-mat.mtrl-sci | a simple tightbinding theoretical model is proposed for spin dependent currentinplane transport in highly coherent spin valve structures under specularity conditions using quantummechanically coherent and spatially quantized fermi states in the considered multilayered system a system of partial boltzmann kinetic equations is built for relevant subbands to yield the expressions for conductance in parallel or antiparallel spin valve states and thus for the magnetoconductance it is shown that specularity favors the magnetoresistance to reach its theoretical maximum for this structure close to 100 this result is practically independent of the model parameters in particular it does not even need that lifetimes of majority and minority carriers be different as necessary for the quasiclassical regimes the main mr effect in the considered limit is due to the transformation of coherent quantum states induced by the relative rotation of magnetization in the fm layers numerical calculation based on the specific boltzmann equation with an account of spindependent specular reflection at the interfaces is also performed for a typical choice of material parameters | [['a', 'simple', 'tightbinding', 'theoretical', 'model', 'is', 'proposed', 'for', 'spin', 'dependent', 'currentinplane', 'transport', 'in', 'highly', 'coherent', 'spin', 'valve', 'structures', 'under', 'specularity', 'conditions', 'using', 'quantummechanically', 'coherent', 'and', 'spatially', 'quantized', 'fermi', 'states', 'in', 'the', 'considered', 'multilayered', 'system', 'a', 'system', 'of', 'partial', 'boltzmann', 'kinetic', 'equations', 'is', 'built', 'for', 'relevant', 'subbands', 'to', 'yield', 'the', 'expressions', 'for', 'conductance', 'in', 'parallel', 'or', 'antiparallel', 'spin', 'valve', 'states', 'and', 'thus', 'for', 'the', 'magnetoconductance', 'it', 'is', 'shown', 'that', 'specularity', 'favors', 'the', 'magnetoresistance', 'to', 'reach', 'its', 'theoretical', 'maximum', 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711.4241 | Radial Dependence of Extinction in Parent Galaxies of Supernovae | The problem of extinction is the most important issue to be dealt with in the
process of obtaining true absolute magnitudes of core-collapse (including
stripped-envelope) supernovae (SNe). The plane-parallel model, widely used in
the past, was shown not to describe extinction adequately. We try to apply an
alternative model which introduces radial dependance of extinction in parent
galaxies of supernovae. For calculating extinction in our Galaxy we use two
different methods and compare the results obtained. Our analysis is primarily
focused on a chosen sample of stripped-envelope SNe (Ib/c) for which we find
intrinsic peak absolute magnitude $\mathrm{M}_{\mathrm{B}}^{0}=-17.80\pm 0.43$.
| astro-ph | the problem of extinction is the most important issue to be dealt with in the process of obtaining true absolute magnitudes of corecollapse including strippedenvelope supernovae sne the planeparallel model widely used in the past was shown not to describe extinction adequately we try to apply an alternative model which introduces radial dependance of extinction in parent galaxies of supernovae for calculating extinction in our galaxy we use two different methods and compare the results obtained our analysis is primarily focused on a chosen sample of strippedenvelope sne ibc for which we find intrinsic peak absolute magnitude mathrmm_mathrmb01780pm 043 | [['the', 'problem', 'of', 'extinction', 'is', 'the', 'most', 'important', 'issue', 'to', 'be', 'dealt', 'with', 'in', 'the', 'process', 'of', 'obtaining', 'true', 'absolute', 'magnitudes', 'of', 'corecollapse', 'including', 'strippedenvelope', 'supernovae', 'sne', 'the', 'planeparallel', 'model', 'widely', 'used', 'in', 'the', 'past', 'was', 'shown', 'not', 'to', 'describe', 'extinction', 'adequately', 'we', 'try', 'to', 'apply', 'an', 'alternative', 'model', 'which', 'introduces', 'radial', 'dependance', 'of', 'extinction', 'in', 'parent', 'galaxies', 'of', 'supernovae', 'for', 'calculating', 'extinction', 'in', 'our', 'galaxy', 'we', 'use', 'two', 'different', 'methods', 'and', 'compare', 'the', 'results', 'obtained', 'our', 'analysis', 'is', 'primarily', 'focused', 'on', 'a', 'chosen', 'sample', 'of', 'strippedenvelope', 'sne', 'ibc', 'for', 'which', 'we', 'find', 'intrinsic', 'peak', 'absolute', 'magnitude', 'mathrmm_mathrmb01780pm', '043']] | [0.014628618505393744, 0.007266217244733172, -0.0809352055230007, 0.14318995430126888, -0.09555789419658939, -0.10257569419657242, 0.04183722425154791, 0.448738336943242, -0.1794726751252952, -0.2916040233174833, 0.037663339783333014, -0.30158258487033296, -0.05413833838336322, 0.2329662512104046, -0.10094618663795848, 0.006378339809051962, 0.05267346657964648, -0.08069565711657004, -0.08268619563468561, -0.3335219223482287, 0.3293608262949642, 0.03863075352749046, 0.2681816348007747, -0.04638236056899234, 0.07399769199593943, -0.06766044038671012, -0.13177485836251657, -0.01917622502589104, -0.1995692708771866, 0.09063569705681496, 0.2244874088340724, 0.14422536329651364, 0.21400776934781474, -0.3555529353737312, -0.2588186056878209, 0.15757281532302042, 0.22129511027786958, 0.12920705493948215, -0.037868447617238045, -0.2232438332819361, 0.06277827326474446, -0.16768193064846706, -0.16168462897517852, 0.058164298334824185, 0.032452354635283044, 0.041210081542328914, -0.24441496240526286, 0.13238285499035704, 0.014529393087806446, 0.09684054972603917, -0.09769950517006598, -0.13810070593157137, -0.020836238659044007, 0.09189028570390477, 0.06311091544476043, 0.0048194121401899555, 0.07396049010424818, -0.11539186321065895, -0.021103161786283766, 0.44370047582731564, -0.06299185309064936, -0.04435898614477138, 0.17711901454711143, -0.14994171307403215, -0.12090223655936175, 0.10152317513236586, 0.17811288242703494, 0.12726289487077988, -0.20468221343008383, -0.030191047307773854, 0.02713427710945585, 0.16252525755185254, -0.004100494677134391, 0.03635922879023995, 0.2088106119012156, 0.167591401646674, 0.0026022894307971, 0.0789789392016543, -0.1754798725299651, -0.021936994982047046, -0.25601588965070493, -0.09471841202098497, -0.1520695946896829, 0.10980607170213076, -0.12857704927502747, -0.15870517493333733, 0.36393751620257997, 0.18530170287822886, 0.2081927428383152, 0.007061364293117456, 0.2722442843856252, 0.10093479508258478, 0.0913294364166047, 0.07186301029762443, 0.3568337428174457, 0.1504791244028174, 0.0760669390794498, -0.2209450125561229, 0.14907737182719366, 0.05941731791601193] |
711.4242 | Gauge-invariant analysis of perturbations in Chaplygin gas unified
models of dark matter and dark energy | We exploit the gauge-invariant formalism to analyse the perturbative
behaviour of two cosmological models based on the generalized Chaplygin gas
describing both dark matter and dark energy in the present Universe. In the
first model we consider the generalized Chaplygin gas alone, while in the
second one we add a baryon component to it. We extend our analysis also into
the parameter range $\alpha > 1$, where the generalized Chaplygin gas sound
velocity can be larger than that of light. In the first model we find that the
matter power spectrum is compatible with the observed one only for $\alpha <
10^{-5}$, which makes the generalized Chaplygin gas practically
indistinguishable from $\Lambda$CDM. In the second model we study the evolution
of inhomogeneities of the baryon component. The theoretical power spectrum is
in good agreement with the observed one for almost all values of $\alpha$.
However, the growth of inhomogeneities seems to be particularly favoured either
for sufficiently small values of $\alpha$ or for $\alpha \gtrsim 3$. Thus, it
appears that the viability of the generalized Chaplygin gas as a cosmological
model is stronger when its sound velocity is superluminal. We show that in this
case the generalized Chaplygin gas equation of state can be changed in an
unobservable region in such a way that its equivalent $k$-essence microscopical
model has no problems with causality.
| astro-ph gr-qc hep-th | we exploit the gaugeinvariant formalism to analyse the perturbative behaviour of two cosmological models based on the generalized chaplygin gas describing both dark matter and dark energy in the present universe in the first model we consider the generalized chaplygin gas alone while in the second one we add a baryon component to it we extend our analysis also into the parameter range alpha 1 where the generalized chaplygin gas sound velocity can be larger than that of light in the first model we find that the matter power spectrum is compatible with the observed one only for alpha 105 which makes the generalized chaplygin gas practically indistinguishable from lambdacdm in the second model we study the evolution of inhomogeneities of the baryon component the theoretical power spectrum is in good agreement with the observed one for almost all values of alpha however the growth of inhomogeneities seems to be particularly favoured either for sufficiently small values of alpha or for alpha gtrsim 3 thus it appears that the viability of the generalized chaplygin gas as a cosmological model is stronger when its sound velocity is superluminal we show that in this case the generalized chaplygin gas equation of state can be changed in an unobservable region in such a way that its equivalent kessence microscopical model has no problems with causality | [['we', 'exploit', 'the', 'gaugeinvariant', 'formalism', 'to', 'analyse', 'the', 'perturbative', 'behaviour', 'of', 'two', 'cosmological', 'models', 'based', 'on', 'the', 'generalized', 'chaplygin', 'gas', 'describing', 'both', 'dark', 'matter', 'and', 'dark', 'energy', 'in', 'the', 'present', 'universe', 'in', 'the', 'first', 'model', 'we', 'consider', 'the', 'generalized', 'chaplygin', 'gas', 'alone', 'while', 'in', 'the', 'second', 'one', 'we', 'add', 'a', 'baryon', 'component', 'to', 'it', 'we', 'extend', 'our', 'analysis', 'also', 'into', 'the', 'parameter', 'range', 'alpha', '1', 'where', 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711.4243 | Effects of Friction and Disorder on the Quasi-Static Response of
Granular Solids to a Localized Force | The response to a localized force provides a sensitive test for different
models of stress transmission in granular solids. The elasto-plastic models
traditionally used by engineers have been challenged by theoretical and
experimental results which suggest a wave-like (hyperbolic) propagation of the
stress, as opposed to the elliptic equations of static elasticity. Numerical
simulations of two-dimensional granular systems subject to a localized external
force are employed to examine the nature of stress transmission in these
systems as a function of the magnitude of the applied force, the frictional
parameters and the disorder (polydispersity). The results indicate that in
large systems (typically considered by engineers), the response is close to
that predicted by isotropic elasticity whereas the response of small systems
(or when sufficiently large forces are applied) is strongly anisotropic. In the
latter case the applied force induces changes in the contact network
accompanied by frictional sliding. The larger the coefficient of static
friction, the more extended is the range of forces for which the response is
elastic and the smaller the anisotropy. Increasing the degree of polydispersity
(for the range studied, up to 25%) decreases the range of elastic response.
This article is an extension of a previously published letter [1].
| cond-mat.soft cond-mat.dis-nn cond-mat.mtrl-sci | the response to a localized force provides a sensitive test for different models of stress transmission in granular solids the elastoplastic models traditionally used by engineers have been challenged by theoretical and experimental results which suggest a wavelike hyperbolic propagation of the stress as opposed to the elliptic equations of static elasticity numerical simulations of twodimensional granular systems subject to a localized external force are employed to examine the nature of stress transmission in these systems as a function of the magnitude of the applied force the frictional parameters and the disorder polydispersity the results indicate that in large systems typically considered by engineers the response is close to that predicted by isotropic elasticity whereas the response of small systems or when sufficiently large forces are applied is strongly anisotropic in the latter case the applied force induces changes in the contact network accompanied by frictional sliding the larger the coefficient of static friction the more extended is the range of forces for which the response is elastic and the smaller the anisotropy increasing the degree of polydispersity for the range studied up to 25 decreases the range of elastic response this article is an extension of a previously published letter 1 | [['the', 'response', 'to', 'a', 'localized', 'force', 'provides', 'a', 'sensitive', 'test', 'for', 'different', 'models', 'of', 'stress', 'transmission', 'in', 'granular', 'solids', 'the', 'elastoplastic', 'models', 'traditionally', 'used', 'by', 'engineers', 'have', 'been', 'challenged', 'by', 'theoretical', 'and', 'experimental', 'results', 'which', 'suggest', 'a', 'wavelike', 'hyperbolic', 'propagation', 'of', 'the', 'stress', 'as', 'opposed', 'to', 'the', 'elliptic', 'equations', 'of', 'static', 'elasticity', 'numerical', 'simulations', 'of', 'twodimensional', 'granular', 'systems', 'subject', 'to', 'a', 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711.4244 | A 3D Automated Classification Scheme for the TAUVEX data pipeline | In order to develop a pipeline for automated classification of stars to be
observed by the TAUVEX ultraviolet space Telescope, we employ an artificial
neural network (ANN) technique for classifying stars by using synthetic spectra
in the UV region from 1250\AA to 3220\AA as the training set and International
Ultraviolet Explorer (IUE) low resolution spectra as the test set. Both the
data sets have been pre-processed to mimic the observations of the TAUVEX
ultraviolet imager. We have successfully classified 229 stars from the IUE low
resolution catalog to within 3-4 spectral sub-class using two different
simulated training spectra, the TAUVEX spectra of 286 spectral types and UVBLUE
spectra of 277 spectral types. Further, we have also been able to obtain the
colour excess (i.e. E(B-V) in magnitude units) or the interstellar reddening
for those IUE spectra which have known reddening to an accuracy of better than
0.1 magnitudes. It has been shown that even with the limitation of data from
just photometric bands, ANNs have not only classified the stars, but also
provided satisfactory estimates for interstellar extinction. The ANN based
classification scheme has been successfully tested on the simulated TAUVEX data
pipeline. It is expected that the same technique can be employed for data
validation in the ultraviolet from the virtual observatories. Finally, the
interstellar extinction estimated by applying the ANNs on the TAUVEX data base
would provide an extensive extinction map for our galaxy and which could in
turn be modeled for the dust distribution in the galaxy.
| astro-ph | in order to develop a pipeline for automated classification of stars to be observed by the tauvex ultraviolet space telescope we employ an artificial neural network ann technique for classifying stars by using synthetic spectra in the uv region from 1250aa to 3220aa as the training set and international ultraviolet explorer iue low resolution spectra as the test set both the data sets have been preprocessed to mimic the observations of the tauvex ultraviolet imager we have successfully classified 229 stars from the iue low resolution catalog to within 34 spectral subclass using two different simulated training spectra the tauvex spectra of 286 spectral types and uvblue spectra of 277 spectral types further we have also been able to obtain the colour excess ie ebv in magnitude units or the interstellar reddening for those iue spectra which have known reddening to an accuracy of better than 01 magnitudes it has been shown that even with the limitation of data from just photometric bands anns have not only classified the stars but also provided satisfactory estimates for interstellar extinction the ann based classification scheme has been successfully tested on the simulated tauvex data pipeline it is expected that the same technique can be employed for data validation in the ultraviolet from the virtual observatories finally the interstellar extinction estimated by applying the anns on the tauvex data base would provide an extensive extinction map for our galaxy and which could in turn be modeled for the dust distribution in the galaxy | [['in', 'order', 'to', 'develop', 'a', 'pipeline', 'for', 'automated', 'classification', 'of', 'stars', 'to', 'be', 'observed', 'by', 'the', 'tauvex', 'ultraviolet', 'space', 'telescope', 'we', 'employ', 'an', 'artificial', 'neural', 'network', 'ann', 'technique', 'for', 'classifying', 'stars', 'by', 'using', 'synthetic', 'spectra', 'in', 'the', 'uv', 'region', 'from', '1250aa', 'to', '3220aa', 'as', 'the', 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711.4245 | Fully frustrated Josephson junction ladders with Mobius boundary
conditions as topologically protected qubits | We show how to realize a ``protected'' qubit by using a fully frustrated
Josephson Junction ladder (JJL) with Mobius boundary conditions. Such a system
has been recently studied within a twisted conformal field theory (CFT)
approach (Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B 641 (2002) 547) and
shown to develop the phenomenon of flux fractionalization (Eur. Phys. J. B 49
(2006) 83). The relevance of a ``closed'' geometry has been fully exploited in
relating the topological properties of the ground state of the system to the
presence of half flux quanta and the emergence of a topological order has been
predicted (JSTAT (2005) P03006). In this letter the stability and
transformation properties of the ground states under adiabatic magnetic flux
change are analyzed and the deep consequences on the realization of a solid
state qubit, protected from decoherence, are presented.
| quant-ph cond-mat.stat-mech hep-th | we show how to realize a protected qubit by using a fully frustrated josephson junction ladder jjl with mobius boundary conditions such a system has been recently studied within a twisted conformal field theory cft approach mod phys lett a 15 2000 1679 nucl phys b 641 2002 547 and shown to develop the phenomenon of flux fractionalization eur phys j b 49 2006 83 the relevance of a closed geometry has been fully exploited in relating the topological properties of the ground state of the system to the presence of half flux quanta and the emergence of a topological order has been predicted jstat 2005 p03006 in this letter the stability and transformation properties of the ground states under adiabatic magnetic flux change are analyzed and the deep consequences on the realization of a solid state qubit protected from decoherence are presented | [['we', 'show', 'how', 'to', 'realize', 'a', 'protected', 'qubit', 'by', 'using', 'a', 'fully', 'frustrated', 'josephson', 'junction', 'ladder', 'jjl', 'with', 'mobius', 'boundary', 'conditions', 'such', 'a', 'system', 'has', 'been', 'recently', 'studied', 'within', 'a', 'twisted', 'conformal', 'field', 'theory', 'cft', 'approach', 'mod', 'phys', 'lett', 'a', '15', '2000', '1679', 'nucl', 'phys', 'b', '641', '2002', '547', 'and', 'shown', 'to', 'develop', 'the', 'phenomenon', 'of', 'flux', 'fractionalization', 'eur', 'phys', 'j', 'b', '49', '2006', '83', 'the', 'relevance', 'of', 'a', 'closed', 'geometry', 'has', 'been', 'fully', 'exploited', 'in', 'relating', 'the', 'topological', 'properties', 'of', 'the', 'ground', 'state', 'of', 'the', 'system', 'to', 'the', 'presence', 'of', 'half', 'flux', 'quanta', 'and', 'the', 'emergence', 'of', 'a', 'topological', 'order', 'has', 'been', 'predicted', 'jstat', '2005', 'p03006', 'in', 'this', 'letter', 'the', 'stability', 'and', 'transformation', 'properties', 'of', 'the', 'ground', 'states', 'under', 'adiabatic', 'magnetic', 'flux', 'change', 'are', 'analyzed', 'and', 'the', 'deep', 'consequences', 'on', 'the', 'realization', 'of', 'a', 'solid', 'state', 'qubit', 'protected', 'from', 'decoherence', 'are', 'presented']] | [-0.170479535926893, 0.15763919059424958, -0.0549224635952727, -0.03680199868267019, -0.04467735636330388, -0.11500856449748291, 0.08064355170032247, 0.32326696436284175, -0.16404309695345476, -0.33098932349037197, 0.03880887743125253, -0.2573851756982717, -0.1492951135943703, 0.15644275547659142, -0.08484753384254873, 0.09281837107309847, 0.001213268926763471, -0.005733754438784053, -0.08228877906073281, -0.23936684406527603, 0.21667574383384475, 0.034263900164944114, 0.33183743396434595, 0.06141680549518106, 0.08087419455124607, -0.006609625303589389, 0.04825884938167395, 0.009156929097858304, -0.1799207654226809, 0.05934074104074983, 0.18401267887951794, 0.010624467935214968, 0.19809238620908232, -0.42543326808364257, -0.23459142446517944, 0.05242094870884605, 0.07325666467328919, 0.11765049590484787, 0.01210591131705685, -0.37654862666489386, 0.061909218543334636, -0.2407770762847512, -0.11670026376658509, -0.09866137946592578, 0.11057593109802812, -0.06594845008580609, -0.22928348334724122, 0.09742199441141772, 0.057949800919477185, 0.10218844010580516, -0.03141897806488242, -0.06047540225529489, -0.07270489489917267, 0.048857062331364484, -0.017129603786565733, 0.08587251227111259, 0.09400209160488601, -0.07588256323373223, -0.17050229990524604, 0.32026411483315287, -0.03062829974434398, -0.13094636694235473, 0.19737053579313957, -0.1059680015264832, -0.13086838078856838, 0.12795655312452545, 0.09273789061484396, 0.10328203733702494, -0.16138429218467246, 0.15310902343171232, -0.073206609649194, 0.1380412340666174, 0.0773135062574627, 0.048154095432172854, 0.2249322176501419, 0.11712070505534371, -0.011285961526346968, 0.1682928343706414, -0.13359786929390954, -0.10441554091368796, -0.28757326248108495, -0.1808353893339951, -0.2048747890516587, 0.143279893728343, 0.07468039011756117, -0.12878611607287999, 0.4390735857003758, 0.12959514844760955, 0.1997543260450384, -0.08555157323110293, 0.16864861019867214, 0.12272105952856917, 0.01131214884585364, 0.12560644214609573, 0.27924313359887254, 0.24979056457737922, 0.11354252483930227, -0.2453326413866978, -0.02516863523926322, 0.0741398352370036] |
711.4246 | Evolution equations of the probabilistic generalization of the Voigt
profile function | The spectrum profile that emerges in molecular spectroscopy and atmospheric
radiative transfer as the combined effect of Doppler and pressure broadenings
is known as the Voigt profile function. Because of its convolution integral
representation, the Voigt profile can be interpreted as the probability density
function of the sum of two independent random variables with Gaussian density
(due to the Doppler effect) and Lorentzian density (due to the pressure
effect). Since these densities belong to the class of symmetric L\'evy stable
distributions, a probabilistic generalization is proposed as the convolution of
two arbitrary symmetric L\'evy densities. We study the case when the widths of
the considered distributions depend on a scale-factor $\tau$ that is
representative of spatial inhomogeneity or temporal non-stationarity. The
evolution equations for this probabilistic generalization of the Voigt function
are here introduced and interpreted as generalized diffusion equations
containing two Riesz space-fractional derivatives, thus classified as
space-fractional diffusion equations of double order.
| math-ph cond-mat.stat-mech math.MP math.PR | the spectrum profile that emerges in molecular spectroscopy and atmospheric radiative transfer as the combined effect of doppler and pressure broadenings is known as the voigt profile function because of its convolution integral representation the voigt profile can be interpreted as the probability density function of the sum of two independent random variables with gaussian density due to the doppler effect and lorentzian density due to the pressure effect since these densities belong to the class of symmetric levy stable distributions a probabilistic generalization is proposed as the convolution of two arbitrary symmetric levy densities we study the case when the widths of the considered distributions depend on a scalefactor tau that is representative of spatial inhomogeneity or temporal nonstationarity the evolution equations for this probabilistic generalization of the voigt function are here introduced and interpreted as generalized diffusion equations containing two riesz spacefractional derivatives thus classified as spacefractional diffusion equations of double order | [['the', 'spectrum', 'profile', 'that', 'emerges', 'in', 'molecular', 'spectroscopy', 'and', 'atmospheric', 'radiative', 'transfer', 'as', 'the', 'combined', 'effect', 'of', 'doppler', 'and', 'pressure', 'broadenings', 'is', 'known', 'as', 'the', 'voigt', 'profile', 'function', 'because', 'of', 'its', 'convolution', 'integral', 'representation', 'the', 'voigt', 'profile', 'can', 'be', 'interpreted', 'as', 'the', 'probability', 'density', 'function', 'of', 'the', 'sum', 'of', 'two', 'independent', 'random', 'variables', 'with', 'gaussian', 'density', 'due', 'to', 'the', 'doppler', 'effect', 'and', 'lorentzian', 'density', 'due', 'to', 'the', 'pressure', 'effect', 'since', 'these', 'densities', 'belong', 'to', 'the', 'class', 'of', 'symmetric', 'levy', 'stable', 'distributions', 'a', 'probabilistic', 'generalization', 'is', 'proposed', 'as', 'the', 'convolution', 'of', 'two', 'arbitrary', 'symmetric', 'levy', 'densities', 'we', 'study', 'the', 'case', 'when', 'the', 'widths', 'of', 'the', 'considered', 'distributions', 'depend', 'on', 'a', 'scalefactor', 'tau', 'that', 'is', 'representative', 'of', 'spatial', 'inhomogeneity', 'or', 'temporal', 'nonstationarity', 'the', 'evolution', 'equations', 'for', 'this', 'probabilistic', 'generalization', 'of', 'the', 'voigt', 'function', 'are', 'here', 'introduced', 'and', 'interpreted', 'as', 'generalized', 'diffusion', 'equations', 'containing', 'two', 'riesz', 'spacefractional', 'derivatives', 'thus', 'classified', 'as', 'spacefractional', 'diffusion', 'equations', 'of', 'double', 'order']] | [-0.06642234538433855, 0.132742748329682, -0.0757086100238194, 0.10133560451334221, -0.08600681540767917, -0.09599055338638847, -0.0385351087777065, 0.36591760978683247, -0.2863716405526094, -0.2751104160054744, 0.07501935549821197, -0.22333699329937626, -0.12880735071950483, 0.14322899929519936, -0.008875699340390017, 0.06780985487752002, -0.029948015942226177, 0.006730149113028855, -0.08731288971362769, -0.1812206401622721, 0.3492633453751733, 0.03238693170185963, 0.2572804821228802, 0.019219081244104867, 0.09774928166252839, 0.012708986906770182, -0.06911901031566373, 0.04091441810929349, -0.10299101836615403, 0.049484890658112075, 0.19244836879797378, 0.056856050619781065, 0.2543751377455116, -0.3668363024907749, -0.2735085270258707, 0.08526284795922723, 0.1470552092907926, 0.04653570237388084, 0.000405483748370709, -0.29298176913818513, 0.006768086005921488, -0.17706701699976943, -0.167890205982371, -0.04979869140789832, 0.05426319763850566, 0.09133825344849958, -0.30557639662829506, 0.14807637042801391, 0.06617128500993086, 0.019666257345566658, -0.08621806744864065, -0.14942574087082855, -0.05776586220599711, 0.0729148849195199, 0.042407372001824636, -0.008644317551939324, 0.13608534503864222, -0.10121368103533644, -0.08679474178435546, 0.3766434285426875, -0.14282118601273963, -0.2613471376727783, 0.12515566243439333, -0.165192115184089, -0.09503349767356821, 0.15066961593345388, 0.15085384343197425, 0.1345945084134915, -0.12099730396878002, 0.06888394947647565, -0.026208435414304544, 0.12001315484204414, 0.10337158950202942, 0.05368621476514676, 0.16585485883625586, 0.07798915749639515, 0.06120959684546045, 0.15040978560656576, -0.13711910968035604, -0.13137434664418218, -0.2994899714317221, -0.1457154441552309, -0.20329432645449777, 0.09984952651641586, -0.10384572495958865, -0.22566354378767603, 0.37371610804134375, 0.08759903026647962, 0.19705877945056888, 0.05048166301899722, 0.28178665730285807, 0.23002419445524597, 0.03963264248442727, 0.02664165769086836, 0.1509639707948807, 0.2468855000847902, 0.0997053162079885, -0.24052020964249002, 0.10582435242196714, 0.05549365064195756] |
711.4247 | On the optimization of the principal eigenvalue for single-centre
point-interaction operators in a bounded region | We investigate relations between spectral properties of a single-centre
point-interaction Hamiltonian describing a particle confined to a bounded
domain $\Omega\subset\mathbb{R}^{d},\: d=2,3$, with Dirichlet boundary, and the
geometry of $\Omega$. For this class of operators Krein's formula yields an
explicit representation of the resolvent in terms of the integral kernel of the
unperturbed one, $(-\Delta_{\Omega}^{D}+z) ^{-1}$. We use a moving plane
analysis to characterize the behaviour of the ground-state energy of the
Hamiltonian with respect to the point-interaction position and the shape of
$\Omega$, in particular, we establish some conditions showing how to place the
interaction to optimize the principal eigenvalue.
| math-ph math.MP math.SP quant-ph | we investigate relations between spectral properties of a singlecentre pointinteraction hamiltonian describing a particle confined to a bounded domain omegasubsetmathbbrd d23 with dirichlet boundary and the geometry of omega for this class of operators kreins formula yields an explicit representation of the resolvent in terms of the integral kernel of the unperturbed one delta_omegadz 1 we use a moving plane analysis to characterize the behaviour of the groundstate energy of the hamiltonian with respect to the pointinteraction position and the shape of omega in particular we establish some conditions showing how to place the interaction to optimize the principal eigenvalue | [['we', 'investigate', 'relations', 'between', 'spectral', 'properties', 'of', 'a', 'singlecentre', 'pointinteraction', 'hamiltonian', 'describing', 'a', 'particle', 'confined', 'to', 'a', 'bounded', 'domain', 'omegasubsetmathbbrd', 'd23', 'with', 'dirichlet', 'boundary', 'and', 'the', 'geometry', 'of', 'omega', 'for', 'this', 'class', 'of', 'operators', 'kreins', 'formula', 'yields', 'an', 'explicit', 'representation', 'of', 'the', 'resolvent', 'in', 'terms', 'of', 'the', 'integral', 'kernel', 'of', 'the', 'unperturbed', 'one', 'delta_omegadz', '1', 'we', 'use', 'a', 'moving', 'plane', 'analysis', 'to', 'characterize', 'the', 'behaviour', 'of', 'the', 'groundstate', 'energy', 'of', 'the', 'hamiltonian', 'with', 'respect', 'to', 'the', 'pointinteraction', 'position', 'and', 'the', 'shape', 'of', 'omega', 'in', 'particular', 'we', 'establish', 'some', 'conditions', 'showing', 'how', 'to', 'place', 'the', 'interaction', 'to', 'optimize', 'the', 'principal', 'eigenvalue']] | [-0.1557942150499333, 0.04950692788406741, -0.09776900533699628, 0.061511041844649374, -0.09114211365919221, -0.07152895761108158, 0.001721737867237699, 0.34698788906362926, -0.27979619718260235, -0.24819206232216792, 0.08581330629789995, -0.2746742180915493, -0.10434793744875927, 0.14594667432524, -0.03747047484861781, 0.05505285347162774, 0.05089883271350779, 0.09909302532917472, -0.12241208599409972, -0.1300384151570574, 0.36563384337256655, -0.016105095771226017, 0.19610632683216322, 0.06671553024213121, 0.09192137577279348, 0.015453130597098156, 0.014310556275751254, -0.029153977570152194, -0.20374606053034464, 0.18050824125494921, 0.20446838913638277, 0.05237225815653801, 0.2348031857135621, -0.40091475279945316, -0.1678862676936945, 0.15008512553711884, 0.133847822397571, 0.030356748165995484, 0.020297517566095023, -0.2829356365366792, 0.04434580765100139, -0.11377450471950902, -0.22510200349915058, -0.04828247348919059, 0.018503154251686853, 0.05441957116809043, -0.27588051405142655, 0.060967424258853146, 0.11152326840568673, 0.03449019690772114, -0.12681433498257338, -0.07464209863107012, -0.017039540063853217, 0.1292724148793654, 0.020849639874403223, 0.006680202910281492, 0.06384610689028797, -0.12438053367577136, -0.04704422869183349, 0.36004692857915704, -0.0694865481833918, -0.2703008164670507, 0.15888235638049816, -0.19128855125216598, -0.11189557366411794, 0.07347444143390866, 0.14848685701086065, 0.13624365312621148, -0.14032417215933704, 0.15592372229186385, -0.03549242525178036, 0.1313202537201119, 0.08197874079147975, 0.0294222922506507, 0.10569563041431736, 0.1128695510313705, 0.10657887528838608, 0.19975742130455645, -0.06716898864257441, -0.11417070546215682, -0.35110425697921804, -0.17303918854267608, -0.19901079015284212, 0.054209261527049794, -0.12550603554920986, -0.22440209655523902, 0.4312034715813669, 0.10962653852002037, 0.23624652854609068, 0.05821252120376536, 0.206714803447025, 0.17536464711119693, 0.005104028756231672, 0.06795230508791376, 0.18388862583952054, 0.1899776135035085, 0.0763454469146602, -0.273769239382348, -0.030402618338062307, 0.127543267262882] |
711.4248 | Magnetic vortices for a Ginzburg-Landau type energy with discontinuous
constraint | This paper is devoted to an analysis of vortex-nucleation for a
Ginzburg-Landau functional with discontinuous constraint. This functional has
been proposed as a model for vortex-pinning, and usually accounts for the
energy resulting from the interface of two superconductors. The critical
applied magnetic field for vortex nucleation is estimated in the London
singular limit, and as a by-product, results concerning vortex-pinning and
boundary conditions on the interface are obtained.
| math.AP math-ph math.MP | this paper is devoted to an analysis of vortexnucleation for a ginzburglandau functional with discontinuous constraint this functional has been proposed as a model for vortexpinning and usually accounts for the energy resulting from the interface of two superconductors the critical applied magnetic field for vortex nucleation is estimated in the london singular limit and as a byproduct results concerning vortexpinning and boundary conditions on the interface are obtained | [['this', 'paper', 'is', 'devoted', 'to', 'an', 'analysis', 'of', 'vortexnucleation', 'for', 'a', 'ginzburglandau', 'functional', 'with', 'discontinuous', 'constraint', 'this', 'functional', 'has', 'been', 'proposed', 'as', 'a', 'model', 'for', 'vortexpinning', 'and', 'usually', 'accounts', 'for', 'the', 'energy', 'resulting', 'from', 'the', 'interface', 'of', 'two', 'superconductors', 'the', 'critical', 'applied', 'magnetic', 'field', 'for', 'vortex', 'nucleation', 'is', 'estimated', 'in', 'the', 'london', 'singular', 'limit', 'and', 'as', 'a', 'byproduct', 'results', 'concerning', 'vortexpinning', 'and', 'boundary', 'conditions', 'on', 'the', 'interface', 'are', 'obtained']] | [-0.12860358295523944, 0.06199765554821865, -0.10711877463686773, 0.06457310516442008, -0.06524993114597986, -0.08639190606909859, 0.03546875823624706, 0.3013275229536435, -0.2124538020888234, -0.2993925246136153, 0.13254770157714924, -0.2554740584729349, -0.14368751258863247, 0.22814134798382463, -0.013077346676522317, 0.09056219968753045, -0.015627694571294877, 0.06450668299187194, -0.04200892072335324, -0.17059936312794247, 0.3584336516693892, 0.0036748608930365126, 0.3179830896996838, 0.1249418102670461, 0.08260914545013186, -0.0026013111894238085, 0.03849732503294945, 0.08858804914908593, -0.18317393441547586, 0.10417587540852015, 0.2569780479020932, -0.017218279991271523, 0.25589193579028635, -0.4596264128408888, -0.2515203582451624, 0.02688091796110658, 0.13157692108549834, 0.13203679919516778, -0.04899637211586677, -0.2796390163986122, 0.08787089126075015, -0.11547666625119746, -0.11254897906393821, -0.06164036339203663, 0.010530112593722366, 0.032857980401090836, -0.31409587572767017, 0.09273030369213837, 0.027208805632065323, 0.10321218849104993, -0.13682536408989965, -0.11652600673465606, -0.03298925606342142, 0.07323866336852969, 0.09739309103358262, 0.05538666495532893, 0.08102831709273982, -0.1396389382699614, -0.05802381118102109, 0.38013390398598, -0.0551852835342288, -0.16480033800882452, 0.18281471378663006, -0.062217033036765367, -0.11173878737506182, 0.12191649768775438, 0.13908872973886044, 0.10122433962190852, -0.18352002950439997, 0.11059513030426495, -0.03052586435360889, 0.12047733391142067, 0.02864626339664135, -0.03807913554448854, 0.16468552071327233, 0.2175709351328859, 0.07039809551583055, 0.15879057004349306, -0.1178926365203498, -0.09141470578170437, -0.32575831962201524, -0.19461984907598784, -0.21165024333715657, 0.00953332899199963, -0.0691224623204856, -0.20244561897262053, 0.3749809606165132, 0.15375585353810012, 0.1636852758268052, 0.019604038864867213, 0.2276141903746654, 0.1846873672124382, 0.04517290349501897, 0.043621942798113995, 0.22082730331321193, 0.16389577090740204, 0.1565993053578388, -0.214285012197626, 0.061491528512252605, 0.08451325639479738] |
711.4249 | Fractional microwave-induced resistance oscillations | We develop a systematic theory of microwave-induced oscillations in
magnetoresistivity of a 2D electron gas in the vicinity of fractional harmonics
of the cyclotron resonance, observed in recent experiments. We show that in the
limit of well-separated Landau levels the effect is dominated by the
multiphoton inelastic mechanism. At moderate magnetic field, two single-photon
mechanisms become important. One of them is due to resonant series of multiple
single-photon transitions, while the other originates from microwave-induced
sidebands in the density of states of disorder-broadened Landau levels.
| cond-mat.mes-hall cond-mat.dis-nn | we develop a systematic theory of microwaveinduced oscillations in magnetoresistivity of a 2d electron gas in the vicinity of fractional harmonics of the cyclotron resonance observed in recent experiments we show that in the limit of wellseparated landau levels the effect is dominated by the multiphoton inelastic mechanism at moderate magnetic field two singlephoton mechanisms become important one of them is due to resonant series of multiple singlephoton transitions while the other originates from microwaveinduced sidebands in the density of states of disorderbroadened landau levels | [['we', 'develop', 'a', 'systematic', 'theory', 'of', 'microwaveinduced', 'oscillations', 'in', 'magnetoresistivity', 'of', 'a', '2d', 'electron', 'gas', 'in', 'the', 'vicinity', 'of', 'fractional', 'harmonics', 'of', 'the', 'cyclotron', 'resonance', 'observed', 'in', 'recent', 'experiments', 'we', 'show', 'that', 'in', 'the', 'limit', 'of', 'wellseparated', 'landau', 'levels', 'the', 'effect', 'is', 'dominated', 'by', 'the', 'multiphoton', 'inelastic', 'mechanism', 'at', 'moderate', 'magnetic', 'field', 'two', 'singlephoton', 'mechanisms', 'become', 'important', 'one', 'of', 'them', 'is', 'due', 'to', 'resonant', 'series', 'of', 'multiple', 'singlephoton', 'transitions', 'while', 'the', 'other', 'originates', 'from', 'microwaveinduced', 'sidebands', 'in', 'the', 'density', 'of', 'states', 'of', 'disorderbroadened', 'landau', 'levels']] | [-0.19757441441213494, 0.22456167007193845, -0.050519732961102445, 0.07533501207225901, 0.028408546592382823, -0.0973702079452136, 0.07338671962977113, 0.3256041015553124, -0.22686350848525763, -0.29131923171088975, -0.03960554113967673, -0.31447373065440093, -0.1251139870735214, 0.20819976445397034, 0.03530950111830059, 0.0238400584388086, -0.003178395736305153, -0.029020840280196247, 0.010610138967304545, -0.1379735170644434, 0.35405578423181877, 0.04544999064768062, 0.31964737473274857, 0.09064892635625951, 0.07480044617481968, -0.03372112240861444, 0.027459363349001197, -0.03475501546636224, -0.06121855072107043, 0.055428251527551126, 0.2739543894853662, -0.07797982366207767, 0.28881921059287646, -0.4820703215801212, -0.19671713337302207, -0.007761587153243668, 0.15270929655388873, 0.17336986002183574, -0.045068491798113376, -0.27086024373660195, -0.0009364954469835057, -0.12002118925618775, -0.11583731815985897, -0.055203917534912335, -0.015388312792022, -0.031995035659330075, -0.2497479559853673, 0.16186722315135685, 0.077022607657401, 0.06606752440771636, -0.07138275970869204, -0.10664852727204562, -0.02120974267120747, 0.044456654229639646, 0.054814374260604384, -0.011026066282818861, 0.15940067216973094, -0.16535156142952687, -0.18050885410869824, 0.33927501909681324, -0.11328580537263085, -0.06262915470801732, 0.17512368931270697, -0.2971797831740011, -0.12969949948327505, 0.233867879902177, 0.12158934612594106, 0.09121809266507626, -0.07828787682468401, 0.05737027393325287, -0.0015303504886105656, 0.13807266309638233, 0.10195425207836224, 0.11640628078979824, 0.24931666351416532, 0.1461433834341519, 0.004458188112167751, 0.13899272751569858, -0.18892097285544665, -0.05235251652843812, -0.2441683733897448, -0.09231164571555221, -0.16400000870994785, 0.04081468873054666, -0.0017554663176483967, -0.16618571825435055, 0.42476988936610083, 0.1318322752657182, 0.20106201807365698, -0.09906695654122706, 0.3043874621829566, 0.21228901467231268, 0.04796636368641082, -0.014994549121269409, 0.3029446267906357, 0.1737337221911944, 0.09832691460683504, -0.3299222789677408, -0.005274784070549204, -0.0034234540400040502] |
711.425 | The periodicity of the eta Carinae events | Extensive spectral observations of eta Carinae over the last cycle, and
particularly around the 2003.5 low excitation event, have been obtained. The
variability of both narrow and broad lines, when combined with data taken from
two earlier cycles, reveal a common and well defined period. We have combined
the cycle lengths derived from the many lines in the optical spectrum with
those from broad-band X-rays, optical and near-infrared observations, and
obtained a period length of 2022.7+-1.3 d.
Spectroscopic data collected during the last 60 years yield an average period
of 2020+-4 d, consistent with the present day period. The period cannot have
changed by more than $\Delta$P/P=0.0007 since 1948. This confirms the previous
claims of a true, stable periodicity, and gives strong support to the binary
scenario. We have used the disappearance of the narrow component of HeI 6678 to
define the epoch of the Cycle 11 minimum, T_0=JD 2,452,819.8. The next event is
predicted to occur on 2009 January 11 (+-2 days). The dates for the start of
the minimum in other spectral features and broad-bands is very close to this
date, and have well determined time delays from the HeI epoch.
| astro-ph | extensive spectral observations of eta carinae over the last cycle and particularly around the 20035 low excitation event have been obtained the variability of both narrow and broad lines when combined with data taken from two earlier cycles reveal a common and well defined period we have combined the cycle lengths derived from the many lines in the optical spectrum with those from broadband xrays optical and nearinfrared observations and obtained a period length of 2022713 d spectroscopic data collected during the last 60 years yield an average period of 20204 d consistent with the present day period the period cannot have changed by more than deltapp00007 since 1948 this confirms the previous claims of a true stable periodicity and gives strong support to the binary scenario we have used the disappearance of the narrow component of hei 6678 to define the epoch of the cycle 11 minimum t_0jd 24528198 the next event is predicted to occur on 2009 january 11 2 days the dates for the start of the minimum in other spectral features and broadbands is very close to this date and have well determined time delays from the hei epoch | [['extensive', 'spectral', 'observations', 'of', 'eta', 'carinae', 'over', 'the', 'last', 'cycle', 'and', 'particularly', 'around', 'the', '20035', 'low', 'excitation', 'event', 'have', 'been', 'obtained', 'the', 'variability', 'of', 'both', 'narrow', 'and', 'broad', 'lines', 'when', 'combined', 'with', 'data', 'taken', 'from', 'two', 'earlier', 'cycles', 'reveal', 'a', 'common', 'and', 'well', 'defined', 'period', 'we', 'have', 'combined', 'the', 'cycle', 'lengths', 'derived', 'from', 'the', 'many', 'lines', 'in', 'the', 'optical', 'spectrum', 'with', 'those', 'from', 'broadband', 'xrays', 'optical', 'and', 'nearinfrared', 'observations', 'and', 'obtained', 'a', 'period', 'length', 'of', '2022713', 'd', 'spectroscopic', 'data', 'collected', 'during', 'the', 'last', '60', 'years', 'yield', 'an', 'average', 'period', 'of', '20204', 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0.06200909616768752, -0.006810969925534568] |
711.4251 | The role of help in Classical and Quantum Zero-Knowledge | We study the role of help in Non-Interactive Zero-Knowledge protocols and its
relation to the standard interactive model. In the classical case, we show that
help and interaction are equivalent, answering an open question of Ben-Or and
Gutfreund. This implies a new complete problem for the class SZK, the Image
Intersection Density. For this problem, we also prove a polarization lemma
which is stronger than the previously known one.
In the quantum setting, we define the notion of quantum help and show in a
more direct way that help and interaction are again equivalent. Moreover, we
define quantum Non-Interactive Zero-Knowledge with classical help and prove
that it is equal to the class of languages that have classical honest-Verifier
Zero Knowledge protocols secure against quantum Verifiers. Last, we provide new
complete problems for all these quantum classes.
Similar results were independently discovered by Dragos Florin Ciocan and
Salil Vadhan.
| quant-ph | we study the role of help in noninteractive zeroknowledge protocols and its relation to the standard interactive model in the classical case we show that help and interaction are equivalent answering an open question of benor and gutfreund this implies a new complete problem for the class szk the image intersection density for this problem we also prove a polarization lemma which is stronger than the previously known one in the quantum setting we define the notion of quantum help and show in a more direct way that help and interaction are again equivalent moreover we define quantum noninteractive zeroknowledge with classical help and prove that it is equal to the class of languages that have classical honestverifier zero knowledge protocols secure against quantum verifiers last we provide new complete problems for all these quantum classes similar results were independently discovered by dragos florin ciocan and salil vadhan | [['we', 'study', 'the', 'role', 'of', 'help', 'in', 'noninteractive', 'zeroknowledge', 'protocols', 'and', 'its', 'relation', 'to', 'the', 'standard', 'interactive', 'model', 'in', 'the', 'classical', 'case', 'we', 'show', 'that', 'help', 'and', 'interaction', 'are', 'equivalent', 'answering', 'an', 'open', 'question', 'of', 'benor', 'and', 'gutfreund', 'this', 'implies', 'a', 'new', 'complete', 'problem', 'for', 'the', 'class', 'szk', 'the', 'image', 'intersection', 'density', 'for', 'this', 'problem', 'we', 'also', 'prove', 'a', 'polarization', 'lemma', 'which', 'is', 'stronger', 'than', 'the', 'previously', 'known', 'one', 'in', 'the', 'quantum', 'setting', 'we', 'define', 'the', 'notion', 'of', 'quantum', 'help', 'and', 'show', 'in', 'a', 'more', 'direct', 'way', 'that', 'help', 'and', 'interaction', 'are', 'again', 'equivalent', 'moreover', 'we', 'define', 'quantum', 'noninteractive', 'zeroknowledge', 'with', 'classical', 'help', 'and', 'prove', 'that', 'it', 'is', 'equal', 'to', 'the', 'class', 'of', 'languages', 'that', 'have', 'classical', 'honestverifier', 'zero', 'knowledge', 'protocols', 'secure', 'against', 'quantum', 'verifiers', 'last', 'we', 'provide', 'new', 'complete', 'problems', 'for', 'all', 'these', 'quantum', 'classes', 'similar', 'results', 'were', 'independently', 'discovered', 'by', 'dragos', 'florin', 'ciocan', 'and', 'salil', 'vadhan']] | [-0.10606154103152221, 0.06147081324494744, -0.08999138148242815, 0.12035980438425516, -0.0704548647982948, -0.20386991518575492, 0.06570194083906244, 0.35233218231911045, -0.28332233641736415, -0.2939570555075382, 0.0773732757588732, -0.24696867294874714, -0.16846912836060962, 0.24391559729863527, -0.11400387051980942, 0.07229851391578752, 0.06539568266210456, 0.02782203625590935, -0.02738682267954573, -0.2921513166382081, 0.3550618535049984, -0.005682968690558078, 0.24152627704542182, 0.07481103274686676, 0.04908763825207845, 0.03891310985070757, -0.02260671343537979, 0.020109696122947045, -0.16242764288492456, 0.13697854720683406, 0.2645999424090001, 0.16581651077528173, 0.28029059051833527, -0.3889021730444963, -0.16215419789983165, 0.126725770491046, 0.10709543819151197, 0.14380825525262886, -0.04971660605598219, -0.2843608592504299, 0.1440314199191764, -0.17657101594441985, -0.10708248074095333, -0.0693060492631048, -0.009180157500345053, -0.02066575582688933, -0.22684728420184305, 0.04062205367901899, 0.14146994540674818, 0.048705811864541225, -0.014971561274756419, -0.049991361822725996, 0.06501449612389681, 0.1501233665589502, -0.05283114853227744, 0.04027419033647877, 0.05448171201795857, -0.10852154960674751, -0.20104174481174494, 0.35306053153989425, -0.032993744811897666, -0.18867639755545598, 0.2026478069019504, -0.07507311488815402, -0.17234214524958386, 0.03734937213367731, 0.11804986983123752, 0.12326722553310294, -0.11282520415746451, 0.09677887289864076, -0.1008327300636059, 0.1636846178209655, 0.060629287430654384, 0.07759810236489607, 0.1467323149061283, 0.07281799043347645, 0.09983513624077507, 0.17120403451877386, 0.01343079209457048, -0.1373404378828127, -0.2700651597697288, -0.2404180869634729, -0.12545367306140381, 0.06715851776890405, -0.05896498890706425, -0.12024804967222735, 0.35165261151026544, 0.1971355982940521, 0.13918655898447063, 0.10290670526268918, 0.2697630683703917, 0.08891682589374897, 0.045045677595125094, 0.11230193110855503, 0.2226165786269121, 0.13537733066995214, 0.07118013339479351, -0.15666317207958652, 0.08403142366700599, 0.07525964578801198] |
711.4252 | Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon
Forces | Decoupling via the Similarity Renormalization Group (SRG) of low-energy
nuclear physics from high-energy details of the nucleon-nucleon interaction is
examined for two-body observables and few-body binding energies. The universal
nature of this decoupling is illustrated and errors from suppressing
high-momentum modes above the decoupling scale are shown to be perturbatively
small.
| nucl-th cond-mat.str-el hep-ph | decoupling via the similarity renormalization group srg of lowenergy nuclear physics from highenergy details of the nucleonnucleon interaction is examined for twobody observables and fewbody binding energies the universal nature of this decoupling is illustrated and errors from suppressing highmomentum modes above the decoupling scale are shown to be perturbatively small | [['decoupling', 'via', 'the', 'similarity', 'renormalization', 'group', 'srg', 'of', 'lowenergy', 'nuclear', 'physics', 'from', 'highenergy', 'details', 'of', 'the', 'nucleonnucleon', 'interaction', 'is', 'examined', 'for', 'twobody', 'observables', 'and', 'fewbody', 'binding', 'energies', 'the', 'universal', 'nature', 'of', 'this', 'decoupling', 'is', 'illustrated', 'and', 'errors', 'from', 'suppressing', 'highmomentum', 'modes', 'above', 'the', 'decoupling', 'scale', 'are', 'shown', 'to', 'be', 'perturbatively', 'small']] | [-0.11720452599875703, 0.2874038013282652, -0.16106895788335332, 0.18092087021910166, 0.008022242426580074, -0.1048012316379897, -0.026607223991852474, 0.3080796988352257, -0.2975094981181125, -0.2827039566256252, -0.03707647931707256, -0.3097064041843017, -0.04543817577673597, 0.13292070854382187, 0.1080789610780045, 0.07736891345577497, 0.06660521605654675, 0.038134688548013274, -0.10100621496345483, -0.13440023242340735, 0.3634026724041677, 0.13325640880594067, 0.19872581907639317, 0.18519521305022543, 0.02912907333423694, 0.05387664416476207, -0.012767977428202536, -0.07508254100513809, -0.05307790554840775, 0.05435957250130527, 0.2818689488579848, -0.004507723173090056, 0.16359504213666215, -0.4046145613652234, -0.19942723079493233, 0.06168157570794517, 0.17294609724480076, 0.1765674548406227, -0.07619640155348416, -0.3595254832659574, 0.007026001683198938, -0.21941858721787438, -0.13884193236556122, -0.1762170324412485, 0.009888326420503505, 0.011060951399575096, -0.2329042092988304, 0.14028842324920582, -0.040385381519502286, 0.014282705262303352, -0.034088405753102374, -0.11975961083582803, -0.004827928828650757, 0.095580265108569, 0.12679107784631424, 0.010230010220160088, 0.23392784657577673, -0.1304241287494626, -0.0351155420546146, 0.43806691332628916, 0.03196932996312777, -0.10674299628419034, 0.2074273560269206, -0.10158489491133128, -0.15362029030517327, 0.16417126386773354, 0.1322665605831015, 0.07168133970459595, -0.2520530176002021, 0.17722766365919845, 0.061488582003934714, 0.2127203534850303, 0.06546744087930112, 0.09943028641682045, 0.13598141833847643, 0.18313715141266584, -0.00992198655491366, 0.0538111115764717, -0.050977005308274835, -0.14945582076724545, -0.3552862386602689, 0.02490555882161739, -0.19822854862785808, 0.04460301766099006, -0.09873458105721511, -0.06785429635498326, 0.4156069716109949, 0.1231315283323912, 0.1879203730427167, -0.01961417963691786, 0.25723051780140865, 0.12566111934389554, 0.1103357051261792, 0.044555671093072374, 0.34686249459856283, 0.17623282590990558, -0.016133255343519004, -0.34715247315847697, -0.03160165968880642, 0.1412696559712583] |
711.4253 | Production and Testing of the LHCb Outer Tracker Front End Readout
Electronics | The LHCb Outer Tracker is a straw drift detector with a modular design and a
total of 53760 readout channels distributed over a sensitive area of 12 double
layers of 6x5 m2 each. The main electronics readout requirement is the precise
(0.5 ns) drift time measurement at an occupancy of 4% and 1 MHz readout. A
total of 128 channels are read out by one Front-End box. About half of the
FE-Boxes have been built. Quality Assurance during the production has been
performed on single FE-Box components. The assembled FE-Box is finally
commissioned using a special FE-Tester. The FE-Tester is a programmable pulser
with a time resolution of 150 ps capable to simulate all the functionality of
the readout mimicking the real detector. Consequently, problems have been found
and solved resulting in good overall performance.
| physics.ins-det | the lhcb outer tracker is a straw drift detector with a modular design and a total of 53760 readout channels distributed over a sensitive area of 12 double layers of 6x5 m2 each the main electronics readout requirement is the precise 05 ns drift time measurement at an occupancy of 4 and 1 mhz readout a total of 128 channels are read out by one frontend box about half of the feboxes have been built quality assurance during the production has been performed on single febox components the assembled febox is finally commissioned using a special fetester the fetester is a programmable pulser with a time resolution of 150 ps capable to simulate all the functionality of the readout mimicking the real detector consequently problems have been found and solved resulting in good overall performance | [['the', 'lhcb', 'outer', 'tracker', 'is', 'a', 'straw', 'drift', 'detector', 'with', 'a', 'modular', 'design', 'and', 'a', 'total', 'of', '53760', 'readout', 'channels', 'distributed', 'over', 'a', 'sensitive', 'area', 'of', '12', 'double', 'layers', 'of', '6x5', 'm2', 'each', 'the', 'main', 'electronics', 'readout', 'requirement', 'is', 'the', 'precise', '05', 'ns', 'drift', 'time', 'measurement', 'at', 'an', 'occupancy', 'of', '4', 'and', '1', 'mhz', 'readout', 'a', 'total', 'of', '128', 'channels', 'are', 'read', 'out', 'by', 'one', 'frontend', 'box', 'about', 'half', 'of', 'the', 'feboxes', 'have', 'been', 'built', 'quality', 'assurance', 'during', 'the', 'production', 'has', 'been', 'performed', 'on', 'single', 'febox', 'components', 'the', 'assembled', 'febox', 'is', 'finally', 'commissioned', 'using', 'a', 'special', 'fetester', 'the', 'fetester', 'is', 'a', 'programmable', 'pulser', 'with', 'a', 'time', 'resolution', 'of', '150', 'ps', 'capable', 'to', 'simulate', 'all', 'the', 'functionality', 'of', 'the', 'readout', 'mimicking', 'the', 'real', 'detector', 'consequently', 'problems', 'have', 'been', 'found', 'and', 'solved', 'resulting', 'in', 'good', 'overall', 'performance']] | [-0.13009157784654235, 0.11812769329583261, -0.02475605190193164, -0.038212756448047, 0.00033579838418518193, -0.18825076576467836, -0.010710146578844615, 0.36876288388157263, -0.1951659116675728, -0.3711177072254941, 0.1403900052418976, -0.2974001979473542, -0.005155214790647733, 0.21785336606080818, -0.03562670741303009, 0.09717290450498695, 0.1000173280845047, 0.0394503955176333, -0.08719979419765878, -0.2589961528610729, 0.1760474876855369, 0.13956713323568692, 0.2915299655860508, 0.016211627968004905, 0.19523169319916178, -0.023144122187659377, -0.05220088705254966, -0.036810152376347105, -0.07218821179776569, 0.05375988071318716, 0.24699821457375037, 0.09129162112549238, 0.24994464693008922, -0.4227043230930576, -0.13979273907170864, 0.04823760655199294, 0.12326500985000166, 0.008701393082446884, -0.06116146746080631, -0.26594239674523124, 0.13634208086659783, -0.1945510409968847, -0.08890465915828827, 0.03518000567055424, 0.01933155962069577, 0.019997253024484962, -0.22851632622041507, -0.014881241570037673, -0.0019727506733033806, 0.03756083335974836, -0.012476032697122719, -0.13268625887121743, 0.015106246510185883, 0.12850202292975155, -0.07848275635114987, 0.055956806336325826, 0.1844334134220844, -0.08569340847679996, -0.11458771062461892, 0.2927104080154095, -0.006579786737802351, -0.1863763361252495, 0.15025942789543478, -0.14818913881117624, -0.08142309514278168, 0.2219244992129461, 0.16482911624916596, 0.06886504712383612, -0.20916921032585378, 0.060132721157515334, 0.025090507246204652, 0.2658871484873089, 0.09462121028536785, 0.03615886376246635, 0.2137979414565052, 0.28528227511742443, 0.06307068630616186, 0.14776891249857727, -0.1803501705526287, -0.04562339868789422, -0.29504010622622445, -0.170152686727306, -0.13728435309622, 0.04323447933711577, -0.024250752846114665, -0.08856673835543916, 0.440865386997757, 0.07416644144359452, 0.17020022141696245, 0.021960597066936316, 0.33546634967206046, 0.07176895082193369, 0.1707240395280678, 0.022248642297199694, 0.2523533417552244, 0.13626364801348245, 0.14889877342511681, -0.19454689561825944, 0.05039581990968145, -0.033496181036753114] |
711.4254 | Uniruled symplectic divisors | This is a paper devoted to the symplectic birational geometry program where
many basic notions are defined in terms of genus 0 GW invariants. We show that
the existence of a positive uniruled symplectic divisor often implies that the
ambient manifold has a nonzero uniruled genus 0 GW invariant, hence is uniruled
as well. This confirms a part of the dichotomy on uniruled symplectic divisors.
In addition, it gives a rather general construction of uniruled symplectic
manifolds, generalizing some beautiful results of McDuff.
| math.SG math.AG | this is a paper devoted to the symplectic birational geometry program where many basic notions are defined in terms of genus 0 gw invariants we show that the existence of a positive uniruled symplectic divisor often implies that the ambient manifold has a nonzero uniruled genus 0 gw invariant hence is uniruled as well this confirms a part of the dichotomy on uniruled symplectic divisors in addition it gives a rather general construction of uniruled symplectic manifolds generalizing some beautiful results of mcduff | [['this', 'is', 'a', 'paper', 'devoted', 'to', 'the', 'symplectic', 'birational', 'geometry', 'program', 'where', 'many', 'basic', 'notions', 'are', 'defined', 'in', 'terms', 'of', 'genus', '0', 'gw', 'invariants', 'we', 'show', 'that', 'the', 'existence', 'of', 'a', 'positive', 'uniruled', 'symplectic', 'divisor', 'often', 'implies', 'that', 'the', 'ambient', 'manifold', 'has', 'a', 'nonzero', 'uniruled', 'genus', '0', 'gw', 'invariant', 'hence', 'is', 'uniruled', 'as', 'well', 'this', 'confirms', 'a', 'part', 'of', 'the', 'dichotomy', 'on', 'uniruled', 'symplectic', 'divisors', 'in', 'addition', 'it', 'gives', 'a', 'rather', 'general', 'construction', 'of', 'uniruled', 'symplectic', 'manifolds', 'generalizing', 'some', 'beautiful', 'results', 'of', 'mcduff']] | [-0.2648693590638149, 0.03130420343389353, -0.12616547236376138, 0.13925615473684058, -0.13391589024945735, -0.1832523535073073, -0.04143261791807207, 0.27357482629637403, -0.273554236773985, -0.20243120794913855, 0.06187428634176143, -0.2324500281857439, -0.23396016254527383, 0.19249525262850775, -0.20592960067856383, -0.01545954411512757, 0.0862154850388417, 0.05334580672276487, -0.141533853704985, -0.31759380352829236, 0.48534973567149725, -0.04327577700367175, 0.1539725063604314, 0.12180813955681691, 0.12223253252702844, -0.05002533012148307, 0.020764437032841056, -0.01706844696730196, -0.15616027393230344, 0.08229815677167421, 0.36655450046780597, 0.0973245024467897, 0.17379255481176528, -0.35220482135303766, -0.18057845524724023, 0.20647062909093697, 0.12118414610467222, 0.01793665081053602, 0.001255525841310351, -0.24193988788693424, 0.09558247005656721, -0.10487246219382947, -0.25139518133757344, -0.11812374949545028, 0.04125867289258167, -0.029343358656189526, -0.12245320863124118, -0.048591258677552984, 0.17801669884209398, 0.1264372050919267, -0.010271832700369948, -0.1364719681876588, -0.08474429915322507, 0.0311452106920531, 0.07078159787321844, 0.1462240282864119, 0.07269264963534043, -0.057935067233685626, -0.06274851536131408, 0.38088382458516273, -0.06400488492056548, -0.268197107903031, 0.11510842841073692, -0.15391549993732787, -0.24802264772602414, 0.17632104079407382, 0.04030660014734211, 0.19952021548187876, 0.004778497358671872, 0.2341867398291108, -0.11650380409737847, 0.08242066155176565, 0.12974836031558462, -0.010099734078688794, 0.13008277059156806, 0.1145047931426979, 0.12643306833588103, 0.07886984408272049, 0.025384656801617826, -0.037305644730173323, -0.3795472285317549, -0.22032396862436232, -0.14287867689931608, 0.2702107701832092, -0.09261107110384717, -0.18755705044212112, 0.4375516063118555, -0.0037147641204387308, 0.1799913724009172, 0.1613634404921287, 0.27515235109007863, -0.004409025245099272, 0.003193652391972312, 0.07072488178712237, 0.16911256161177565, 0.25763312992022697, -0.027193551641855253, -0.09475052569072738, -0.008026890308001494, 0.18065621423344297] |
711.4255 | HIRDES - The High-Resolution Double-Echelle Spectrograph for the World
Space Observatory Ultraviolet (WSO/UV) | The World Space Observatory Ultraviolet (WSO/UV) is a multi-national project
grown out of the needs of the astronomical community to have future access to
the UV range. WSO/UV consists of a single UV telescope with a primary mirror of
1.7m diameter feeding the UV spectrometer and UV imagers. The spectrometer
comprises three different spectrographs, two high-resolution echelle
spectrographs (the High-Resolution Double-Echelle Spectrograph, HIRDES) and a
low-dispersion long-slit instrument. Within HIRDES the 102-310nm spectral band
is split to feed two echelle spectrographs covering the UV range 174-310nm and
the vacuum-UV range 102-176nm with high spectral resolution (R>50,000). The
technical concept is based on the heritage of two previous ORFEUS SPAS
missions. The phase-B1 development activities are described in this paper
considering performance aspects, design drivers, related trade-offs (mechanical
concepts, material selection etc.) and a critical functional and environmental
test verification approach. The current state of other WSO/UV scientific
instruments (imagers) is also described.
| astro-ph | the world space observatory ultraviolet wsouv is a multinational project grown out of the needs of the astronomical community to have future access to the uv range wsouv consists of a single uv telescope with a primary mirror of 17m diameter feeding the uv spectrometer and uv imagers the spectrometer comprises three different spectrographs two highresolution echelle spectrographs the highresolution doubleechelle spectrograph hirdes and a lowdispersion longslit instrument within hirdes the 102310nm spectral band is split to feed two echelle spectrographs covering the uv range 174310nm and the vacuumuv range 102176nm with high spectral resolution r50000 the technical concept is based on the heritage of two previous orfeus spas missions the phaseb1 development activities are described in this paper considering performance aspects design drivers related tradeoffs mechanical concepts material selection etc and a critical functional and environmental test verification approach the current state of other wsouv scientific instruments imagers is also described | [['the', 'world', 'space', 'observatory', 'ultraviolet', 'wsouv', 'is', 'a', 'multinational', 'project', 'grown', 'out', 'of', 'the', 'needs', 'of', 'the', 'astronomical', 'community', 'to', 'have', 'future', 'access', 'to', 'the', 'uv', 'range', 'wsouv', 'consists', 'of', 'a', 'single', 'uv', 'telescope', 'with', 'a', 'primary', 'mirror', 'of', '17m', 'diameter', 'feeding', 'the', 'uv', 'spectrometer', 'and', 'uv', 'imagers', 'the', 'spectrometer', 'comprises', 'three', 'different', 'spectrographs', 'two', 'highresolution', 'echelle', 'spectrographs', 'the', 'highresolution', 'doubleechelle', 'spectrograph', 'hirdes', 'and', 'a', 'lowdispersion', 'longslit', 'instrument', 'within', 'hirdes', 'the', '102310nm', 'spectral', 'band', 'is', 'split', 'to', 'feed', 'two', 'echelle', 'spectrographs', 'covering', 'the', 'uv', 'range', '174310nm', 'and', 'the', 'vacuumuv', 'range', '102176nm', 'with', 'high', 'spectral', 'resolution', 'r50000', 'the', 'technical', 'concept', 'is', 'based', 'on', 'the', 'heritage', 'of', 'two', 'previous', 'orfeus', 'spas', 'missions', 'the', 'phaseb1', 'development', 'activities', 'are', 'described', 'in', 'this', 'paper', 'considering', 'performance', 'aspects', 'design', 'drivers', 'related', 'tradeoffs', 'mechanical', 'concepts', 'material', 'selection', 'etc', 'and', 'a', 'critical', 'functional', 'and', 'environmental', 'test', 'verification', 'approach', 'the', 'current', 'state', 'of', 'other', 'wsouv', 'scientific', 'instruments', 'imagers', 'is', 'also', 'described']] | [-0.10326203031401182, 0.09839329528140611, -0.09464655488022956, -0.0015223093886843658, -0.13670842858545226, -0.12214758715046377, -0.020600005354860732, 0.45669629948920215, -0.16883149454048996, -0.3753393393796708, 0.14618457821278094, -0.31795154109854123, -0.07181850202293295, 0.2520884958127963, -0.0929277377829341, 0.03486728976833923, 0.1157767141639287, -0.1213500076969122, 0.0033325708535467758, -0.21954286584453978, 0.28767896449386043, 0.1559845296890828, 0.28061986780115244, -0.025102497508813593, 0.1093723594773047, -0.026909095113133562, -0.12076971504178925, -0.02127791496238607, -0.11864563136437811, 0.1137056931261182, 0.32623108646607607, 0.17979850610557557, 0.29165226077853607, -0.3431534902417454, -0.18632762272167822, -0.0018402913737849429, 0.09799273704371318, -0.09274770447920108, -0.0024214183245303816, -0.2758314901400871, -0.01745249805771264, -0.14456514501321965, -0.15470670193819136, 0.045960296994749586, -0.06625313843953712, 0.025314841124004332, -0.21254230666391807, -0.12148967113763351, -0.10694241939144658, 0.14992998712936995, -0.13090908211045738, -0.10872124852933761, -0.03600549352564046, 0.17579112469122327, -0.047258184156541164, -0.00017347450143304365, 0.127469636723078, -0.15995645853048512, -0.047906003417126065, 0.36935150175644405, -0.06378046234363112, 0.003792068465002652, 0.18943380452371364, -0.19378040998307025, -0.16357052769062333, 0.12574381932479747, 0.14578742144693588, 0.12264200543246136, -0.18311528734348972, 0.10205531982064713, 0.0061050987212340636, 0.21170999501783658, 0.09483489148511455, 0.13447596224281808, 0.26369776136948375, 0.21771168557541637, 0.03841757877601375, 0.0902522451786228, -0.2349084298881092, -0.006227407360385204, -0.24180358576684677, -0.1522632353987288, -0.11884324239599037, 0.018503590740648838, -0.06190244710536529, -0.11967978921140833, 0.39953313719417, 0.14523817738839265, 0.11833326729528348, -0.010239046179400435, 0.3827724715887473, 0.007707641498538954, 0.12419629281001358, -0.04711743695982571, 0.29231004735519145, 0.08240814522021161, 0.21082256341369116, -0.19405865393968397, -0.04849586860951165, 0.032103392674491325] |
711.4256 | Observational Window Functions in Planet Transit Searches | Window functions describe, as a function of orbital period, the probability
that an existing planetary transit is detectable in one's data for a given
observing strategy. We show the dependence of this probability upon several
strategy and astrophysical parameters, such as length of observing run,
observing cadence, length of night, and transit duration. The ability to detect
a transit is directly related to the intrinsic noise of the observations. In
our simulations of the window function, we explicitly address non-correlated
(gaussian or white) noise and correlated (red) noise and discuss how these two
different noise components affect window functions in different manners.
| astro-ph | window functions describe as a function of orbital period the probability that an existing planetary transit is detectable in ones data for a given observing strategy we show the dependence of this probability upon several strategy and astrophysical parameters such as length of observing run observing cadence length of night and transit duration the ability to detect a transit is directly related to the intrinsic noise of the observations in our simulations of the window function we explicitly address noncorrelated gaussian or white noise and correlated red noise and discuss how these two different noise components affect window functions in different manners | [['window', 'functions', 'describe', 'as', 'a', 'function', 'of', 'orbital', 'period', 'the', 'probability', 'that', 'an', 'existing', 'planetary', 'transit', 'is', 'detectable', 'in', 'ones', 'data', 'for', 'a', 'given', 'observing', 'strategy', 'we', 'show', 'the', 'dependence', 'of', 'this', 'probability', 'upon', 'several', 'strategy', 'and', 'astrophysical', 'parameters', 'such', 'as', 'length', 'of', 'observing', 'run', 'observing', 'cadence', 'length', 'of', 'night', 'and', 'transit', 'duration', 'the', 'ability', 'to', 'detect', 'a', 'transit', 'is', 'directly', 'related', 'to', 'the', 'intrinsic', 'noise', 'of', 'the', 'observations', 'in', 'our', 'simulations', 'of', 'the', 'window', 'function', 'we', 'explicitly', 'address', 'noncorrelated', 'gaussian', 'or', 'white', 'noise', 'and', 'correlated', 'red', 'noise', 'and', 'discuss', 'how', 'these', 'two', 'different', 'noise', 'components', 'affect', 'window', 'functions', 'in', 'different', 'manners']] | [-0.10982525343441761, 0.16614625928138826, -0.10043309107148911, 0.1042987205756956, -0.06124477198931808, -0.12629867694340646, 0.08844204103418936, 0.40591409053726524, -0.27141412852478086, -0.3398149250915237, 0.10711034182025411, -0.27346640996014077, -0.15306771899272195, 0.20127427070082038, -0.08774461743750554, 0.06397014492369421, 0.0778354585841846, -0.03378607303089024, -0.04049060710331462, -0.28097220756770935, 0.2908381986632651, 0.06374383364420604, 0.19345064537015325, -0.012298533275230405, 0.08063405399169664, 0.017710432819976453, -0.11209728862027701, -0.02949307779507602, -0.13805018214991957, -0.007011680892330832, 0.22705887797672084, 0.17316379313649355, 0.2290182581226177, -0.3834277539349654, -0.240629208383753, 0.09808360389890332, 0.10904939263127744, 0.07182499555432621, 0.011057685754791486, -0.282029820286541, 0.04079365379670087, -0.132617487668005, -0.13237915922517834, -0.019704229828408536, 0.05510962600180624, 0.0753144441097153, -0.2803826428237645, 0.04822982125459056, 0.039830339625112565, 0.04260804996296179, -0.071644913174632, -0.12373483986776396, 0.027198594685543476, 0.15489187569005927, 0.04961031253504403, 0.01996774068467465, 0.14997895031838732, -0.1181437902371673, -0.09966309202033752, 0.3160128037898354, -0.12227369323555454, -0.14679096791295188, 0.1712118229353983, -0.16519261577038788, -0.10519937350980792, 0.13621056117756547, 0.19496253348302608, 0.09339353338559615, -0.1507767207632937, -0.012824704197198883, 0.03889458634726265, 0.21963756111925284, 0.08969185617980639, 0.11800982606341588, 0.27111775285619144, 0.14392457502510617, 0.08010817009562743, 0.12105728010646999, -0.227260022670688, -0.05670952318491889, -0.26448295245348824, -0.10289346047804929, -0.18754155137439205, 0.027100243375125323, -0.09140823124828018, -0.14398117927838958, 0.468747321808455, 0.19961723316387803, 0.20629463383845767, 0.07904697084050699, 0.3117393028703244, 0.10881507929355162, 0.028247199975000924, 0.009246315469271411, 0.19174243608380065, 0.04292862149019379, 0.07485032539960801, -0.23932523883915707, 0.09803923389271778, -0.055151962191231696] |
711.4257 | Correlation of energy density in deconfining SU(2) Yang-Mills
thermodynamics | We compute the two-point correlation of the energy density for the massless
mode in deconfining SU(2) Yang-Mills thermodynamics and point towards a
possible application for the physics of cold, dilute, and stable clouds of
atomic hydrogen within the Milky Way.
| hep-th | we compute the twopoint correlation of the energy density for the massless mode in deconfining su2 yangmills thermodynamics and point towards a possible application for the physics of cold dilute and stable clouds of atomic hydrogen within the milky way | [['we', 'compute', 'the', 'twopoint', 'correlation', 'of', 'the', 'energy', 'density', 'for', 'the', 'massless', 'mode', 'in', 'deconfining', 'su2', 'yangmills', 'thermodynamics', 'and', 'point', 'towards', 'a', 'possible', 'application', 'for', 'the', 'physics', 'of', 'cold', 'dilute', 'and', 'stable', 'clouds', 'of', 'atomic', 'hydrogen', 'within', 'the', 'milky', 'way']] | [-0.08589099741075187, 0.1950059390743263, -0.10003733210032806, 0.09968125934246927, 0.02924891987349838, -0.028785129764582962, 0.08226362681016326, 0.32741520591080187, -0.18622680278494955, -0.25106376175244804, -0.0036060006386833265, -0.2929297290276736, -0.03604289293289185, 0.09136181804351509, 0.11871494333768169, 0.08272849649656563, -0.06411063071573153, 0.029020939976908265, -0.09631155901734019, -0.18490315955132247, 0.33017151593230665, 0.06213443803135306, 0.25216740923933684, 0.07762452526949346, 0.08223232359159738, -0.01965594823122956, 0.01294554587220773, -0.03777170449029654, -0.15149575422983616, 0.09132007346488535, 0.2722303570248187, 0.022453188826330007, 0.1735644903499633, -0.4436277339234948, -0.2068843767279759, 0.07613770754542201, 0.17579222694039345, 0.1661005042027682, -0.10129032265394926, -0.25575495115481317, -0.01920326575636864, -0.17405639924108982, -0.2727987665683031, -0.09318103363038972, 0.035628935089334846, -0.04428540507797152, -0.20543170776218175, 0.16427512909285724, -0.038321670168079434, 0.01579736245330423, -0.07016100594773889, -0.08303060608450323, -0.06216794559732079, 0.09175636327126994, 0.01073688204633072, 0.059247880015755074, 0.24594585360027849, -0.22623040989856236, -0.031743786598963195, 0.4752629705326399, -0.12557932783383877, -0.07378935618326068, 0.18237911205505952, -0.17566466182470322, -0.20467899618670343, 0.09674591291695833, 0.10090671633370221, 0.10948508933652193, -0.12528629684820772, 0.14846136672131252, -0.06279905460833106, 0.12466651667273254, 0.11234364777919836, 0.05547048409935087, 0.35435202769585883, 0.13922679473180324, 0.08870508692925796, 0.1404586198506877, -0.10553254056139849, -0.1926866887966753, -0.3194064578972757, -0.22332414027187042, -0.15942919757435448, 0.06490918869385495, -0.12473747390249627, -0.17676736253779382, 0.3610713781090453, 0.15088697196915746, 0.14770950174424796, 0.021707793534733354, 0.3246145187411457, 0.08640196486376225, -0.0054126678849570455, 0.0884405835531652, 0.27973943672841417, 0.2095429003238678, 0.10376547869527712, -0.2890740129165351, -0.0902939056395553, 0.11004698073375038] |
711.4258 | Algebraic fidelity decay for local perturbations | From a reflection measurement in a rectangular microwave billiard with
randomly distributed scatterers the scattering and the ordinary fidelity was
studied. The position of one of the scatterers is the perturbation parameter.
Such perturbations can be considered as {\em local} since wave functions are
influenced only locally, in contrast to, e. g., the situation where the
fidelity decay is caused by the shift of one billiard wall. Using the
random-plane-wave conjecture, an analytic expression for the fidelity decay due
to the shift of one scatterer has been obtained, yielding an algebraic $1/t$
decay for long times. A perfect agreement between experiment and theory has
been found, including a predicted scaling behavior concerning the dependence of
the fidelity decay on the shift distance. The only free parameter has been
determined independently from the variance of the level velocities.
| quant-ph cond-mat.mes-hall | from a reflection measurement in a rectangular microwave billiard with randomly distributed scatterers the scattering and the ordinary fidelity was studied the position of one of the scatterers is the perturbation parameter such perturbations can be considered as em local since wave functions are influenced only locally in contrast to e g the situation where the fidelity decay is caused by the shift of one billiard wall using the randomplanewave conjecture an analytic expression for the fidelity decay due to the shift of one scatterer has been obtained yielding an algebraic 1t decay for long times a perfect agreement between experiment and theory has been found including a predicted scaling behavior concerning the dependence of the fidelity decay on the shift distance the only free parameter has been determined independently from the variance of the level velocities | [['from', 'a', 'reflection', 'measurement', 'in', 'a', 'rectangular', 'microwave', 'billiard', 'with', 'randomly', 'distributed', 'scatterers', 'the', 'scattering', 'and', 'the', 'ordinary', 'fidelity', 'was', 'studied', 'the', 'position', 'of', 'one', 'of', 'the', 'scatterers', 'is', 'the', 'perturbation', 'parameter', 'such', 'perturbations', 'can', 'be', 'considered', 'as', 'em', 'local', 'since', 'wave', 'functions', 'are', 'influenced', 'only', 'locally', 'in', 'contrast', 'to', 'e', 'g', 'the', 'situation', 'where', 'the', 'fidelity', 'decay', 'is', 'caused', 'by', 'the', 'shift', 'of', 'one', 'billiard', 'wall', 'using', 'the', 'randomplanewave', 'conjecture', 'an', 'analytic', 'expression', 'for', 'the', 'fidelity', 'decay', 'due', 'to', 'the', 'shift', 'of', 'one', 'scatterer', 'has', 'been', 'obtained', 'yielding', 'an', 'algebraic', '1t', 'decay', 'for', 'long', 'times', 'a', 'perfect', 'agreement', 'between', 'experiment', 'and', 'theory', 'has', 'been', 'found', 'including', 'a', 'predicted', 'scaling', 'behavior', 'concerning', 'the', 'dependence', 'of', 'the', 'fidelity', 'decay', 'on', 'the', 'shift', 'distance', 'the', 'only', 'free', 'parameter', 'has', 'been', 'determined', 'independently', 'from', 'the', 'variance', 'of', 'the', 'level', 'velocities']] | [-0.14929450748775921, 0.15426861971590208, -0.10052343263797571, 0.035468557708287225, -0.02352825251257266, -0.12963532392099938, 0.014904041896122234, 0.3506350765716942, -0.2730323535010136, -0.27442489284337224, 0.09114576632547301, -0.3054183140544303, -0.0772564543859677, 0.20615326980238452, -0.013266240797854741, 0.09841689301367082, 0.016337836519061753, 0.11124642814084997, -0.05446327578700969, -0.19437840939345358, 0.2785027733163374, 0.05896549319218406, 0.27633915148223476, 0.0300731359542731, 0.06886987610863905, 0.029941457090899348, 0.00030613229147788575, 0.04179664165028097, -0.12957397571367704, 0.06379984887933139, 0.18410896592863804, 0.03428241755874992, 0.2027778227621799, -0.39628248486448736, -0.2087207739652299, 0.11458349101902808, 0.14233009282949804, 0.1196742133504492, -0.04439734930929262, -0.31234942795708776, 0.04052718518205973, -0.1343415948589716, -0.145984707697233, -0.006562835314338479, 0.057454837749794346, 0.01660558517495006, -0.28171581347637314, 0.10208991435544756, 0.014767504841609694, 0.04588046862730099, -0.030891536531271413, -0.07373139650050742, -0.005091210543041062, 0.12821712021661155, 0.06752084756804191, 0.05133012126765714, 0.12277778557173032, -0.09555045249426793, -0.09857655663098044, 0.3763156211181708, -0.07022570520776379, -0.18218289792211556, 0.12895828349556884, -0.1772429864435895, -0.044009768412626514, 0.1664130620090017, 0.10842430909328601, 0.0801945761366583, -0.12179088204249959, 0.14007210647875634, -0.032198314970681916, 0.17736428014348563, 0.14209576784496142, 0.03949926148106897, 0.16917794397073416, 0.1320376730633571, 0.04880478830241105, 0.13072125022496467, -0.10213318051982616, -0.07932550981229938, -0.2827466137515491, -0.09482632579131271, -0.23884743936051725, 0.07689256650626382, -0.06408179645158645, -0.1685891581548597, 0.3863030332756941, 0.0609785863369539, 0.23765834249378018, 0.023369159611106357, 0.2799901487887837, 0.17850039532212952, 0.06542411737952053, 0.056930110252270585, 0.28415869149338346, 0.17049029615180403, 0.047696233661982286, -0.24335158837664708, 0.10247895135955118, 0.03099722705562325] |
711.4259 | Coherent control of light field with electromagnetically induced
transparency in a dark state Raman coherent tripod system | The coherent superposition of two-atomic levels induced by coherent
population trapping is employed in a standard $\Lambda$ type scheme to form a
tripod-like system. A weak probe pulse scanning across the system is shown to
experience a crossover from absorption to transparent and then to
amplification. Consequently the group velocity of the probe pulse can be
controlled to propagate either as a subluminal, a standard, a superluminal or
even a negative speed. It is shown that the propagation behavior of the light
field is entirely determined and controlled by the initial states of the
coherent superposition.
| quant-ph | the coherent superposition of twoatomic levels induced by coherent population trapping is employed in a standard lambda type scheme to form a tripodlike system a weak probe pulse scanning across the system is shown to experience a crossover from absorption to transparent and then to amplification consequently the group velocity of the probe pulse can be controlled to propagate either as a subluminal a standard a superluminal or even a negative speed it is shown that the propagation behavior of the light field is entirely determined and controlled by the initial states of the coherent superposition | [['the', 'coherent', 'superposition', 'of', 'twoatomic', 'levels', 'induced', 'by', 'coherent', 'population', 'trapping', 'is', 'employed', 'in', 'a', 'standard', 'lambda', 'type', 'scheme', 'to', 'form', 'a', 'tripodlike', 'system', 'a', 'weak', 'probe', 'pulse', 'scanning', 'across', 'the', 'system', 'is', 'shown', 'to', 'experience', 'a', 'crossover', 'from', 'absorption', 'to', 'transparent', 'and', 'then', 'to', 'amplification', 'consequently', 'the', 'group', 'velocity', 'of', 'the', 'probe', 'pulse', 'can', 'be', 'controlled', 'to', 'propagate', 'either', 'as', 'a', 'subluminal', 'a', 'standard', 'a', 'superluminal', 'or', 'even', 'a', 'negative', 'speed', 'it', 'is', 'shown', 'that', 'the', 'propagation', 'behavior', 'of', 'the', 'light', 'field', 'is', 'entirely', 'determined', 'and', 'controlled', 'by', 'the', 'initial', 'states', 'of', 'the', 'coherent', 'superposition']] | [-0.154283135955369, 0.22444844920384258, -0.13284190301538298, 0.06550533065180245, -0.0552635018248111, -0.17022353372487584, 0.059525774354130444, 0.383687330547132, -0.33456251844763757, -0.2694154936183048, 0.05221464646195895, -0.2129238389726532, -0.07360553368680964, 0.23169631781301608, -0.003675366697930976, -0.00042005678344714015, 0.03873166530883234, 0.036522194436800326, -0.00917941702431754, -0.14144357423249043, 0.296306461419322, 0.03993698978110364, 0.31435953824731866, 0.00962068257657321, 0.13381451212197518, -0.012327707181439588, 0.036928653702335924, 0.0509195509611776, -0.039025561425200736, 0.08369408046679669, 0.19005553530970296, 0.08212137249249377, 0.2501820591376408, -0.3961561667683877, -0.2562814443323173, 0.06894921946682428, 0.1623718295892774, 0.18371510818404588, -0.047388851500459406, -0.3401422773340815, 0.06257927928512033, -0.14229723885165232, -0.18475968861266187, -0.017234439628296776, 0.010144113348551878, 0.018793642136121266, -0.2806426222485147, 0.06028726471980152, 0.029390958700280048, -0.0019081500603964454, -0.013880493460639723, 0.022104014086193943, -0.03463618503638396, 0.0843924515316949, 0.01655528847079136, 0.0438951302515833, 0.15728365559326976, -0.14649117728695274, -0.07350160146720315, 0.38165643570062363, -0.13678069275950916, -0.1705515732507736, 0.18139282890448444, -0.14934007658862117, 0.031188253038807918, 0.17907749904613746, 0.15033428742501295, 0.11353069671282642, -0.1342440487228726, 0.016363426429023477, -0.0029092157712990517, 0.21651630760905774, 0.11709946458117644, 0.05553247152680629, 0.20009962438948845, 0.11830655131489039, 0.06015887301611273, 0.09828348907666574, -0.07587423387326692, -0.059619501294372115, -0.29757641573485577, -0.12160146684434853, -0.1576296719281297, 0.09362282195177517, -0.0067882623422376226, -0.15872342331812864, 0.40431324217700565, 0.08801496259770111, 0.1792302598098391, -0.03719261480574986, 0.31035839934882364, 0.15779797008236576, 0.053020898635058024, 0.031778332875355295, 0.2851697741762588, 0.16155805453952204, 0.0645539892825151, -0.2492941369621181, 0.07373260588042047, -0.0018958615776347486] |
711.426 | Spectral Properties and Stability of Self-Similar Wave Maps | In this thesis the Cauchy problem and in particular the question of
singularity formation for co--rotational wave maps from 3+1 Minkowski space to
the three--sphere $S^3$ is studied. Numerics indicate that self--similar
solutions of this model play a crucial role in dynamical time evolution. In
particular, it is conjectured that a certain solution $f_0$ defines a universal
blow up pattern in the sense that the future development of a large set of
generic blow up initial data approaches $f_0$. Thus, singularity formation is
closely related to stability properties of self--similar solutions.
In this work, the problem of linear stability is studied by functional
analytic methods. In particular, a complete spectral analysis of the
perturbation operators is given and well--posedness of the linearized Cauchy
problem is proved by means of semigroup theory and, alternatively, the
functional calculus for self--adjoint operators. These results lead to growth
estimates which provide information on the stability of self--similar wave
maps. Finally, convergence properties of $f_n$ for large $n$ and the spectra of
the corresponding perturbation operators are investigated.
The thesis is intended to be self--contained as far as possible, i.e. all the
mathematical requirements are carefully introduced, including proofs for many
results which could be found elsewhere.
| math-ph math.MP | in this thesis the cauchy problem and in particular the question of singularity formation for corotational wave maps from 31 minkowski space to the threesphere s3 is studied numerics indicate that selfsimilar solutions of this model play a crucial role in dynamical time evolution in particular it is conjectured that a certain solution f_0 defines a universal blow up pattern in the sense that the future development of a large set of generic blow up initial data approaches f_0 thus singularity formation is closely related to stability properties of selfsimilar solutions in this work the problem of linear stability is studied by functional analytic methods in particular a complete spectral analysis of the perturbation operators is given and wellposedness of the linearized cauchy problem is proved by means of semigroup theory and alternatively the functional calculus for selfadjoint operators these results lead to growth estimates which provide information on the stability of selfsimilar wave maps finally convergence properties of f_n for large n and the spectra of the corresponding perturbation operators are investigated the thesis is intended to be selfcontained as far as possible ie all the mathematical requirements are carefully introduced including proofs for many results which could be found elsewhere | [['in', 'this', 'thesis', 'the', 'cauchy', 'problem', 'and', 'in', 'particular', 'the', 'question', 'of', 'singularity', 'formation', 'for', 'corotational', 'wave', 'maps', 'from', '31', 'minkowski', 'space', 'to', 'the', 'threesphere', 's3', 'is', 'studied', 'numerics', 'indicate', 'that', 'selfsimilar', 'solutions', 'of', 'this', 'model', 'play', 'a', 'crucial', 'role', 'in', 'dynamical', 'time', 'evolution', 'in', 'particular', 'it', 'is', 'conjectured', 'that', 'a', 'certain', 'solution', 'f_0', 'defines', 'a', 'universal', 'blow', 'up', 'pattern', 'in', 'the', 'sense', 'that', 'the', 'future', 'development', 'of', 'a', 'large', 'set', 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711.4261 | Some aspects of fractional diffusion equations of single and distributed
order | The time fractional diffusion equation is obtained from the standard
diffusion equation by replacing the first-order time derivative with a
fractional derivative of order $\beta \in (0,1)$. The fundamental solution for
the Cauchy problem is interpreted as a probability density of a self-similar
non-Markovian stochastic process related to a phenomenon of sub-diffusion (the
variance grows in time sub-linearly). A further generalization is obtained by
considering a continuous or discrete distribution of fractional time
derivatives of order less than one.
Then the fundamental solution is still a probability density of a
non-Markovian process that, however, is no longer self-similar but exhibits a
corresponding distribution of time-scales.
| math-ph cond-mat.dis-nn cond-mat.stat-mech math.MP | the time fractional diffusion equation is obtained from the standard diffusion equation by replacing the firstorder time derivative with a fractional derivative of order beta in 01 the fundamental solution for the cauchy problem is interpreted as a probability density of a selfsimilar nonmarkovian stochastic process related to a phenomenon of subdiffusion the variance grows in time sublinearly a further generalization is obtained by considering a continuous or discrete distribution of fractional time derivatives of order less than one then the fundamental solution is still a probability density of a nonmarkovian process that however is no longer selfsimilar but exhibits a corresponding distribution of timescales | [['the', 'time', 'fractional', 'diffusion', 'equation', 'is', 'obtained', 'from', 'the', 'standard', 'diffusion', 'equation', 'by', 'replacing', 'the', 'firstorder', 'time', 'derivative', 'with', 'a', 'fractional', 'derivative', 'of', 'order', 'beta', 'in', '01', 'the', 'fundamental', 'solution', 'for', 'the', 'cauchy', 'problem', 'is', 'interpreted', 'as', 'a', 'probability', 'density', 'of', 'a', 'selfsimilar', 'nonmarkovian', 'stochastic', 'process', 'related', 'to', 'a', 'phenomenon', 'of', 'subdiffusion', 'the', 'variance', 'grows', 'in', 'time', 'sublinearly', 'a', 'further', 'generalization', 'is', 'obtained', 'by', 'considering', 'a', 'continuous', 'or', 'discrete', 'distribution', 'of', 'fractional', 'time', 'derivatives', 'of', 'order', 'less', 'than', 'one', 'then', 'the', 'fundamental', 'solution', 'is', 'still', 'a', 'probability', 'density', 'of', 'a', 'nonmarkovian', 'process', 'that', 'however', 'is', 'no', 'longer', 'selfsimilar', 'but', 'exhibits', 'a', 'corresponding', 'distribution', 'of', 'timescales']] | [-0.12254456560837017, 0.1360069511225447, -0.11477774272761529, 0.08549800178363859, -0.07040709847406972, -0.105264386530256, 0.034505616584127506, 0.31842034381060375, -0.32439452216383957, -0.22656607153337627, 0.13945269289071716, -0.27187071949953123, -0.11687292753097912, 0.17497297717657473, -0.027732877870134655, 0.09404763023679455, -0.0017831618276735147, 0.08950512911237421, -0.0690857060630584, -0.18328113115082184, 0.2852500744740523, 0.015981274110630952, 0.2093755216559484, -0.022383742056609618, 0.13643001638729835, -0.08021051914741596, -0.04488227707112119, 0.03515630142231073, -0.11815747350843768, 0.05479560945171952, 0.17606567133750234, 0.043480317405469364, 0.35417921075686104, -0.3994746940210462, -0.27492475200976646, 0.12036580077949025, 0.13241968698594497, 0.06965394444941055, -0.036984927251580216, -0.28327300246982345, 0.04076651623916058, -0.1364050761220001, -0.1765613665183385, 0.011244889419703256, 0.08603550525648253, 0.03704330029209987, -0.2924962815340786, 0.22703798686464627, 0.08671398570849782, -0.034741257775680254, -0.0630760807610516, -0.08162567619943903, -0.014571908577567055, 0.04473239509167061, 0.07549895289121196, 0.053565282343576354, 0.06545397343912294, -0.14205250602570318, -0.13340544846529762, 0.39258270855283456, -0.12901694238077782, -0.2484582901182529, 0.1307531911879778, -0.1965560932732409, -0.07620207089487285, 0.19663643650000312, 0.11731959037743286, 0.15807196698373271, -0.1718932857470853, 0.11619507457528795, 0.00032667192807864573, 0.21386258685517878, 0.08626004601385268, 0.01320230117222915, 0.11052909475706872, 0.2102169493479388, 0.13172836162682092, 0.13024213757543338, -0.05371096996878762, -0.1923695079095307, -0.3164732930206117, -0.19903662041539238, -0.22700519913009234, 0.12368304166233256, -0.1502857515277962, -0.17988455865443462, 0.3730412766426092, 0.11716088144374745, 0.18319042176895198, 0.12774773758082164, 0.2403416450978035, 0.2865937017735892, 0.004678330619242929, 0.041755168419331315, 0.10066636353731155, 0.1167538888663763, 0.11975817147287585, -0.21290870786289728, 0.13880129915529063, 0.07914381861420615] |
711.4262 | Toward a quantitative analysis of virus and plasmid trafficking in cells | Intracellular transport of DNA carriers is a fundamental step of gene
delivery. We present here a theoretical approach to study generically a single
virus or DNA particle trafficking in a cell cytoplasm. Cellular trafficking has
been studied experimentally mostly at the macroscopic level, but very little
has been done so far at the microscopic level. We present here a physical model
to account for certain aspects of cellular organization, starting with the
observation that a viral particle trajectory consists of epochs of pure
diffusion and epochs of active transport along microtubules. We define a
general degradation rate to describe the limitations of the delivery of plasmid
or viral particles to the nucleus imposed by various types of direct and
indirect hydrolysis activity inside the cytoplasm. Following a homogenization
procedure, which consists of replacing the switching dynamics by a single
steady state stochastic description, not only can we study the spatio-temporal
dynamics of moving objects in the cytosol, but also estimate the probability
and the mean time to go from the cell membrane to a nuclear pore. Computational
simulations confirm that our model can be used to analyze and interpret viral
trajectories and estimate quantitatively the success of nuclear delivery.
| q-bio.QM q-bio.SC | intracellular transport of dna carriers is a fundamental step of gene delivery we present here a theoretical approach to study generically a single virus or dna particle trafficking in a cell cytoplasm cellular trafficking has been studied experimentally mostly at the macroscopic level but very little has been done so far at the microscopic level we present here a physical model to account for certain aspects of cellular organization starting with the observation that a viral particle trajectory consists of epochs of pure diffusion and epochs of active transport along microtubules we define a general degradation rate to describe the limitations of the delivery of plasmid or viral particles to the nucleus imposed by various types of direct and indirect hydrolysis activity inside the cytoplasm following a homogenization procedure which consists of replacing the switching dynamics by a single steady state stochastic description not only can we study the spatiotemporal dynamics of moving objects in the cytosol but also estimate the probability and the mean time to go from the cell membrane to a nuclear pore computational simulations confirm that our model can be used to analyze and interpret viral trajectories and estimate quantitatively the success of nuclear delivery | [['intracellular', 'transport', 'of', 'dna', 'carriers', 'is', 'a', 'fundamental', 'step', 'of', 'gene', 'delivery', 'we', 'present', 'here', 'a', 'theoretical', 'approach', 'to', 'study', 'generically', 'a', 'single', 'virus', 'or', 'dna', 'particle', 'trafficking', 'in', 'a', 'cell', 'cytoplasm', 'cellular', 'trafficking', 'has', 'been', 'studied', 'experimentally', 'mostly', 'at', 'the', 'macroscopic', 'level', 'but', 'very', 'little', 'has', 'been', 'done', 'so', 'far', 'at', 'the', 'microscopic', 'level', 'we', 'present', 'here', 'a', 'physical', 'model', 'to', 'account', 'for', 'certain', 'aspects', 'of', 'cellular', 'organization', 'starting', 'with', 'the', 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711.4263 | On the Physical Significance of Infra-red Corrections to Inflationary
Observables | Inflationary observables, like the power spectrum, computed at one- and
higher-order loop level seem to be plagued by large infra-red corrections. In
this short note, we point out that these large infra-red corrections appear
only in quantities which are not directly observable. This is in agreement with
general expectations concerning infra-red effects.
| astro-ph gr-qc hep-ph hep-th | inflationary observables like the power spectrum computed at one and higherorder loop level seem to be plagued by large infrared corrections in this short note we point out that these large infrared corrections appear only in quantities which are not directly observable this is in agreement with general expectations concerning infrared effects | [['inflationary', 'observables', 'like', 'the', 'power', 'spectrum', 'computed', 'at', 'one', 'and', 'higherorder', 'loop', 'level', 'seem', 'to', 'be', 'plagued', 'by', 'large', 'infrared', 'corrections', 'in', 'this', 'short', 'note', 'we', 'point', 'out', 'that', 'these', 'large', 'infrared', 'corrections', 'appear', 'only', 'in', 'quantities', 'which', 'are', 'not', 'directly', 'observable', 'this', 'is', 'in', 'agreement', 'with', 'general', 'expectations', 'concerning', 'infrared', 'effects']] | [-0.08843498286576225, 0.16577242801073366, -0.12880390747271192, 0.1579093650193849, -0.04427322559058666, -0.11834858127762206, -0.012450786414914407, 0.36785640703657496, -0.23480654798913747, -0.2783302445716869, 0.12109063850724712, -0.3132336341704314, -0.10635143619191904, 0.19893864286132157, -0.07668756303162529, 0.03791261365852104, 0.05414088724109416, -0.015473366325470405, -0.030448823786663033, -0.20385935723495024, 0.3214004450979141, 0.11086154951212498, 0.19506854974091625, 0.0655347826362301, -0.009384520029505858, -0.06429390038829297, -0.10826352492977794, 0.10614817388033351, -0.11621702608023882, 0.0712551557763408, 0.3030951156173475, -0.0008188282999281699, 0.17563098852854006, -0.39229797776072073, -0.18816240176182383, 0.14608576238298646, 0.11903550179424481, 0.14023163736251612, 0.0015030977710221822, -0.2043520946127291, 0.049972984429377205, -0.13926562836142972, -0.16671208762384665, -0.11325771607852612, -0.0436937352284216, -0.029621798681686275, -0.24611130395295241, 0.09541769210213366, -0.03129689378413157, 0.029363957323277227, 0.03303662662465985, -0.11596000374321683, -0.010979326844860155, 0.11312560531167457, 0.09198068249343823, 0.04653838508182581, 0.134041940417284, -0.16081037416230315, -0.09822814010728437, 0.38534299047807086, -0.09485418716660486, -0.12294516754515755, 0.15513733028022286, -0.252715054138277, -0.24044459541507351, 0.18076434090303686, 0.09908486917489566, 0.11820417718263343, -0.1681709177344321, 0.12751920126230779, 0.03927743515501229, 0.16623022746520852, 0.07953352354860936, 0.15014999598483533, 0.3187190134866306, 0.011729289096995043, -0.03574657762566438, 0.05209450084993687, -0.033932644014175124, -0.12823201907583728, -0.4062275470664295, -0.01734440474627683, -0.14467351147546792, 0.09007138270429166, -0.0644312342894689, -0.17365207032819924, 0.3055211887694895, 0.20481654048825687, 0.20750833596461093, 0.0541136611741072, 0.3089292308029074, 0.17664146271104422, 0.15692136415208763, 0.06855041274908356, 0.33669117203233045, 0.013155950381098172, 0.10861394075282778, -0.22047685015982446, -0.005605691722638977, 0.031038935887269102] |
711.4264 | Dark energy as a mirage | Motivated by the observed cosmic matter distribution, we present the
following conjecture: due to the formation of voids and opaque structures, the
average matter density on the path of the light from the well-observed objects
changes from Omega_M ~ 1 in the homogeneous early universe to Omega_M ~ 0 in
the clumpy late universe, so that the average expansion rate increases along
our line of sight from EdS expansion Ht ~ 2/3 at high redshifts to free
expansion Ht ~ 1 at low redshifts. To calculate the modified observable
distance-redshift relations, we introduce a generalized Dyer-Roeder method that
allows for two crucial physical properties of the universe: inhomogeneities in
the expansion rate and the growth of the nonlinear structures. By treating the
transition redshift to the void-dominated era as a free parameter, we find a
phenomenological fit to the observations from the CMB anisotropy, the position
of the baryon oscillation peak, the magnitude-redshift relations of type Ia
supernovae, the local Hubble flow and the nucleosynthesis, resulting in a
concordant model of the universe with 90% dark matter, 10% baryons, no dark
energy, 15 Gyr as the age of the universe and a natural value for the
transition redshift z_0=0.35. Unlike a large local void, the model respects the
cosmological principle, further offering an explanation for the late onset of
the perceived acceleration as a consequence of the forming nonlinear
structures. Additional tests, such as quantitative predictions for angular
deviations due to an anisotropic void distribution and a theoretical derivation
of the model, can vindicate or falsify the interpretation that light
propagation in voids is responsible for the perceived acceleration.
| astro-ph | motivated by the observed cosmic matter distribution we present the following conjecture due to the formation of voids and opaque structures the average matter density on the path of the light from the wellobserved objects changes from omega_m 1 in the homogeneous early universe to omega_m 0 in the clumpy late universe so that the average expansion rate increases along our line of sight from eds expansion ht 23 at high redshifts to free expansion ht 1 at low redshifts to calculate the modified observable distanceredshift relations we introduce a generalized dyerroeder method that allows for two crucial physical properties of the universe inhomogeneities in the expansion rate and the growth of the nonlinear structures by treating the transition redshift to the voiddominated era as a free parameter we find a phenomenological fit to the observations from the cmb anisotropy the position of the baryon oscillation peak the magnituderedshift relations of type ia supernovae the local hubble flow and the nucleosynthesis resulting in a concordant model of the universe with 90 dark matter 10 baryons no dark energy 15 gyr as the age of the universe and a natural value for the transition redshift z_0035 unlike a large local void the model respects the cosmological principle further offering an explanation for the late onset of the perceived acceleration as a consequence of the forming nonlinear structures additional tests such as quantitative predictions for angular deviations due to an anisotropic void distribution and a theoretical derivation of the model can vindicate or falsify the interpretation that light propagation in voids is responsible for the perceived acceleration | [['motivated', 'by', 'the', 'observed', 'cosmic', 'matter', 'distribution', 'we', 'present', 'the', 'following', 'conjecture', 'due', 'to', 'the', 'formation', 'of', 'voids', 'and', 'opaque', 'structures', 'the', 'average', 'matter', 'density', 'on', 'the', 'path', 'of', 'the', 'light', 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711.4265 | The multiple quasar Q2237+0305 under a microlensing caustic | We use the high magnification event seen in the 1999 OGLE campaign light
curve of image C of the quadruply imaged gravitational lens Q2237+0305 to study
the structure of the quasar engine. We have obtained g'- and r'-band photometry
at the Apache Point Observatory 3.5m telescope where we find that the event has
a smaller amplitude in the r'-band than in the g'- and OGLE V-bands. By
comparing the light curves with microlensing simulations we obtain constraints
on the sizes of the quasar regions contributing to the g'- and r'-band flux.
Assuming that most of the surface mass density in the central kiloparsec of the
lensing galaxy is due to stars and by modeling the source with a Gaussian
profile, we obtain for the Gaussian width 1.20 x 10^15 sqrt(M/0.1M_sun)cm <
sigma_g' < 7.96 x 10^15 sqrt(M/0.1Msun) cm, where M is the mean microlensing
mass, and a ratio sigma_r'/sigma_g'=1.25^{+0.45}_{-0.15}. With the limits on
the velocity of the lensing galaxy from Gil-Merino et al. (2005) as our only
prior, we obtain 0.60 x 10^15 sqrt(M/0.1Msun) cm < sigma_g' < 1.57 x 10^15
sqrt(M/0.1Msun) cm and a ratio sigma_r'/sigma_g'=1.45^{+0.90}_{-0.25} (all
values at 68 percent confidence). Additionally, from our microlensing
simulations we find that, during the chromatic microlensing event observed, the
continuum emitting region of the quasar crossed a caustic at >72 percent
confidence.
| astro-ph | we use the high magnification event seen in the 1999 ogle campaign light curve of image c of the quadruply imaged gravitational lens q22370305 to study the structure of the quasar engine we have obtained g and rband photometry at the apache point observatory 35m telescope where we find that the event has a smaller amplitude in the rband than in the g and ogle vbands by comparing the light curves with microlensing simulations we obtain constraints on the sizes of the quasar regions contributing to the g and rband flux assuming that most of the surface mass density in the central kiloparsec of the lensing galaxy is due to stars and by modeling the source with a gaussian profile we obtain for the gaussian width 120 x 1015 sqrtm01m_suncm sigma_g 796 x 1015 sqrtm01msun cm where m is the mean microlensing mass and a ratio sigma_rsigma_g125045_015 with the limits on the velocity of the lensing galaxy from gilmerino et al 2005 as our only prior we obtain 060 x 1015 sqrtm01msun cm sigma_g 157 x 1015 sqrtm01msun cm and a ratio sigma_rsigma_g145090_025 all values at 68 percent confidence additionally from our microlensing simulations we find that during the chromatic microlensing event observed the continuum emitting region of the quasar crossed a caustic at 72 percent confidence | [['we', 'use', 'the', 'high', 'magnification', 'event', 'seen', 'in', 'the', '1999', 'ogle', 'campaign', 'light', 'curve', 'of', 'image', 'c', 'of', 'the', 'quadruply', 'imaged', 'gravitational', 'lens', 'q22370305', 'to', 'study', 'the', 'structure', 'of', 'the', 'quasar', 'engine', 'we', 'have', 'obtained', 'g', 'and', 'rband', 'photometry', 'at', 'the', 'apache', 'point', 'observatory', '35m', 'telescope', 'where', 'we', 'find', 'that', 'the', 'event', 'has', 'a', 'smaller', 'amplitude', 'in', 'the', 'rband', 'than', 'in', 'the', 'g', 'and', 'ogle', 'vbands', 'by', 'comparing', 'the', 'light', 'curves', 'with', 'microlensing', 'simulations', 'we', 'obtain', 'constraints', 'on', 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711.4266 | Dispersion Terms and Analysis of Size- Charge Dependence in an Enhanced
Poisson Boltzmann Approach | We implement a well-established concept to consider dispersion effects within
a Poisson-Boltzmann approach of continuum solvation of proteins. The
theoretical framework is particularly suited for boundary element methods. Free
parameters are determined by comparison to experimental data as well as
high-level quantum mechanical reference calculations. The method is general and
can be easily extended in several directions. The model is tested on various
chemical substances and found to yield good-quality estimates of the solvation
free energy without obvious indication of any introduced bias. Once optimized,
the model is applied to a series of proteins, and factors such as protein size
or partial charge assignments are studied.
| physics.bio-ph physics.chem-ph | we implement a wellestablished concept to consider dispersion effects within a poissonboltzmann approach of continuum solvation of proteins the theoretical framework is particularly suited for boundary element methods free parameters are determined by comparison to experimental data as well as highlevel quantum mechanical reference calculations the method is general and can be easily extended in several directions the model is tested on various chemical substances and found to yield goodquality estimates of the solvation free energy without obvious indication of any introduced bias once optimized the model is applied to a series of proteins and factors such as protein size or partial charge assignments are studied | [['we', 'implement', 'a', 'wellestablished', 'concept', 'to', 'consider', 'dispersion', 'effects', 'within', 'a', 'poissonboltzmann', 'approach', 'of', 'continuum', 'solvation', 'of', 'proteins', 'the', 'theoretical', 'framework', 'is', 'particularly', 'suited', 'for', 'boundary', 'element', 'methods', 'free', 'parameters', 'are', 'determined', 'by', 'comparison', 'to', 'experimental', 'data', 'as', 'well', 'as', 'highlevel', 'quantum', 'mechanical', 'reference', 'calculations', 'the', 'method', 'is', 'general', 'and', 'can', 'be', 'easily', 'extended', 'in', 'several', 'directions', 'the', 'model', 'is', 'tested', 'on', 'various', 'chemical', 'substances', 'and', 'found', 'to', 'yield', 'goodquality', 'estimates', 'of', 'the', 'solvation', 'free', 'energy', 'without', 'obvious', 'indication', 'of', 'any', 'introduced', 'bias', 'once', 'optimized', 'the', 'model', 'is', 'applied', 'to', 'a', 'series', 'of', 'proteins', 'and', 'factors', 'such', 'as', 'protein', 'size', 'or', 'partial', 'charge', 'assignments', 'are', 'studied']] | [-0.04624608250000989, 0.08828790245999424, -0.07400699082832292, 0.1169886543714213, -0.05496154690407357, -0.16947126304642912, 0.035982073932657684, 0.4278988208410875, -0.25551536586135626, -0.343284777945505, 0.05764801281324219, -0.23567316606025793, -0.11064120155609793, 0.2014370964058095, -0.024792543636582228, 0.0972795032122928, 0.07209201213763149, 0.033129468081378434, -0.034371777753925546, -0.1638933180717154, 0.24502277829605243, 0.06890223779658489, 0.2598777410908128, 0.09273318472353495, 0.06401533659059941, -0.02669014425823061, -0.026570379496815632, 0.08465033998045157, -0.14476346677907234, 0.12617641024484808, 0.27481665309378, 0.0673928962326345, 0.2403775559571343, -0.428179384683663, -0.2682617099006783, 0.04720090789158108, 0.11183550964408326, 0.16675380604201048, -0.04577666428049956, -0.2564321471277167, 0.08123606259227326, -0.15271431711098216, -0.14050132859023814, -0.12363104189346316, -0.02531684374981472, 0.052609510016891195, -0.2738306167851782, 0.10368693563570971, 0.0002551068000513006, 0.06921829158852903, -0.09801918174192872, -0.17730060706842024, -0.02613004946198209, 0.13531197016874222, 0.03334036931716222, 0.016406236950062075, 0.19771615072276513, -0.07144385509693749, -0.1129252764897175, 0.4480854177601495, -0.04494843531602045, -0.2389439771373049, 0.18232694204527675, -0.05760795360250961, -0.11487120967841584, 0.11534974202601556, 0.1243871379257092, 0.10950131438461677, -0.2053880592465471, 0.07741642702329148, 0.01761157911837558, 0.1960435676177577, 0.03743628078395114, -0.011157951288623735, 0.1686207664128885, 0.17737146501236087, 0.011791618373947885, 0.12616638038724767, -0.06585671858124013, -0.11096468765644427, -0.28416446692042296, -0.15394448235143363, -0.16819712656708258, -0.013768161357081723, -0.06243764724950899, -0.1877806222303507, 0.3640823644006027, 0.12013884497156262, 0.15142083313878416, 0.010801685376549667, 0.2840741803004178, 0.09583822531155574, 0.10049985664597941, 0.011862255219932435, 0.19201128831669195, 0.1321645637837959, 0.05004046347326124, -0.21703511617093715, 0.09958876179583934, 0.048005843281093544] |
711.4267 | Extinction properties of lensing galaxies | Context. Observations of quasars shining through foreground galaxies, offer a
way to probe the dust extinction curves of distant galaxies. Interesting
objects for this study are found in strong gravitational lensing systems, where
the foreground galaxies generate multiple images.
Aims. The reddening law of lensing galaxies is investigated by studying the
colours of gravitationally-lensed quasars, and a handful of other quasars where
a foreground galaxy is detected.
Methods. We compare the observed colours of quasars reported in the
literature, with spectral templates reddened by different extinction laws and
dust properties. The data consists of 21 quasar-galaxy systems, with a total of
48 images. The galaxies, which are both early- and late-type, have redshifts in
the interval z=0.04-1.51.
Results. We measure a difference in rest-frame B-V between the quasar images
we study, and quasars without resolved foreground galaxies. This difference in
colour is indicative of significant dust extinction in the intervening galaxy.
Good fits to standard extinction laws were found for 22 of the images,
corresponding to 13 different galaxies. Our fits imply a wide range of possible
values for the total-to-selective extinction ratio, Rv. The distribution was
found to be broad with a weighted mode of Rv=2.4 and a FWHM of 2.7 (sigma =
1.1). Thus the bulk of the galaxies for which good reddening fits could be
derived, have dust properties compatible with the Milky Way value (Rv=3.1).
| astro-ph | context observations of quasars shining through foreground galaxies offer a way to probe the dust extinction curves of distant galaxies interesting objects for this study are found in strong gravitational lensing systems where the foreground galaxies generate multiple images aims the reddening law of lensing galaxies is investigated by studying the colours of gravitationallylensed quasars and a handful of other quasars where a foreground galaxy is detected methods we compare the observed colours of quasars reported in the literature with spectral templates reddened by different extinction laws and dust properties the data consists of 21 quasargalaxy systems with a total of 48 images the galaxies which are both early and latetype have redshifts in the interval z004151 results we measure a difference in restframe bv between the quasar images we study and quasars without resolved foreground galaxies this difference in colour is indicative of significant dust extinction in the intervening galaxy good fits to standard extinction laws were found for 22 of the images corresponding to 13 different galaxies our fits imply a wide range of possible values for the totaltoselective extinction ratio rv the distribution was found to be broad with a weighted mode of rv24 and a fwhm of 27 sigma 11 thus the bulk of the galaxies for which good reddening fits could be derived have dust properties compatible with the milky way value rv31 | [['context', 'observations', 'of', 'quasars', 'shining', 'through', 'foreground', 'galaxies', 'offer', 'a', 'way', 'to', 'probe', 'the', 'dust', 'extinction', 'curves', 'of', 'distant', 'galaxies', 'interesting', 'objects', 'for', 'this', 'study', 'are', 'found', 'in', 'strong', 'gravitational', 'lensing', 'systems', 'where', 'the', 'foreground', 'galaxies', 'generate', 'multiple', 'images', 'aims', 'the', 'reddening', 'law', 'of', 'lensing', 'galaxies', 'is', 'investigated', 'by', 'studying', 'the', 'colours', 'of', 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711.4268 | Simple Lie Algebras having Extremal Elements | Let L be a simple finite-dimensional Lie algebra of characteristic distinct
from 2 and from 3. Suppose that L contains an extremal element that is not a
sandwich, that is, an element x such that [x, [x, L]] is equal to the linear
span of x in L. In this paper we prove that, with a single exception, L is
generated by extremal elements. The result is known, at least for most
characteristics, but the proofs in the literature are involved. The current
proof closes a gap in a geometric proof that every simple Lie algebra
containing no sandwiches (that is, ad-nilpotent elements of order 2) is in fact
of classical type.
| math.RA | let l be a simple finitedimensional lie algebra of characteristic distinct from 2 and from 3 suppose that l contains an extremal element that is not a sandwich that is an element x such that x x l is equal to the linear span of x in l in this paper we prove that with a single exception l is generated by extremal elements the result is known at least for most characteristics but the proofs in the literature are involved the current proof closes a gap in a geometric proof that every simple lie algebra containing no sandwiches that is adnilpotent elements of order 2 is in fact of classical type | [['let', 'l', 'be', 'a', 'simple', 'finitedimensional', 'lie', 'algebra', 'of', 'characteristic', 'distinct', 'from', '2', 'and', 'from', '3', 'suppose', 'that', 'l', 'contains', 'an', 'extremal', 'element', 'that', 'is', 'not', 'a', 'sandwich', 'that', 'is', 'an', 'element', 'x', 'such', 'that', 'x', 'x', 'l', 'is', 'equal', 'to', 'the', 'linear', 'span', 'of', 'x', 'in', 'l', 'in', 'this', 'paper', 'we', 'prove', 'that', 'with', 'a', 'single', 'exception', 'l', 'is', 'generated', 'by', 'extremal', 'elements', 'the', 'result', 'is', 'known', 'at', 'least', 'for', 'most', 'characteristics', 'but', 'the', 'proofs', 'in', 'the', 'literature', 'are', 'involved', 'the', 'current', 'proof', 'closes', 'a', 'gap', 'in', 'a', 'geometric', 'proof', 'that', 'every', 'simple', 'lie', 'algebra', 'containing', 'no', 'sandwiches', 'that', 'is', 'adnilpotent', 'elements', 'of', 'order', '2', 'is', 'in', 'fact', 'of', 'classical', 'type']] | [-0.1583993846283452, 0.11543510971776934, -0.0702475079742726, 0.0024826809073731837, -0.09337084839145453, -0.1552661270210852, -0.0104319077290711, 0.36362217197061647, -0.307287611330269, -0.21408839231090887, 0.10761168462756489, -0.29249998200741956, -0.12235577942504149, 0.20317594192290148, -0.09118356438869211, -0.09430378195143671, 0.045223625983843316, 0.12149081721768848, -0.09704371335724968, -0.22282097139395773, 0.3399891065491829, -0.06015836447269456, 0.1795499883093206, -0.005031053316737858, 0.10794698197527655, -0.006759994318209854, 0.007192661640666691, 0.04170027094265346, -0.1176084623191725, 0.10372292699217464, 0.3029396885041414, 0.08065249962341373, 0.2489213844861037, -0.32414866000882675, -0.1354569604882272, 0.1498654431000302, 0.15391432356305554, 0.02953300711565784, -0.03454275124698013, -0.1540660879857439, 0.1898242610041052, -0.13267643877978635, -0.14802955705921964, 0.016662773767685785, 0.14145702082324924, -0.020889051832325225, -0.27625804825220257, 0.014676863585399198, 0.1618063516143593, 0.09102090574534875, 0.008965908903129665, -0.15575933209869877, -0.05416934183865253, 0.05943502847471142, -0.037142594001904526, 0.07681345265752627, 0.06012898831925538, -0.048765321656901506, -0.11973055744809764, 0.3538658696260037, -0.03886585940927034, -0.19667471909529663, 0.16742485548768724, -0.18321964145954034, -0.13266212132501615, 0.14503688702825457, 0.0598342158898179, 0.13904261103432095, -0.09555020882648282, 0.2043153771742904, -0.14655332876801758, 0.17382915136944835, 0.05149420794415554, 0.005103880168462638, 0.13936494739859231, 0.14200916308722558, 0.09923688438721001, 0.08015133477394036, 0.006255864628266343, 0.003225907712476328, -0.40849833975413014, -0.18528783440914204, -0.20113970211241394, 0.15411977715445704, -0.07669924731752482, -0.1615984457228998, 0.36035994606624755, 0.09391642564099, 0.2185146377388654, 0.04677512946364004, 0.20816165730190864, 0.09465938273933716, 0.07713536704458031, 0.11882333353943457, 0.14881551671091334, 0.16006800299718243, -0.01438050958261426, -0.12951934851298574, 0.03416029654908925, 0.13818969090685382] |
711.4269 | Signatures of Dynamical Heterogeneity in the Structure of Glassy
Free-energy Minima | From numerical minimization of a model free energy functional for a system of
hard spheres, we show that the width of the local peaks of the time-averaged
density field at a glassy free-energy minimum exhibits large spatial variation,
similar to that of the ``local Debye-Waller factor'' in simulations of
dynamical heterogeneity. Molecular dynamics simulations starting from a
particle configuration generated from the density distribution at a glassy
free-energy minimum show similar spatial heterogeneity in the degree of
localization, implying a direct connection between dynamical heterogeneity and
the structure of glassy free energy minima.
| cond-mat.stat-mech cond-mat.soft | from numerical minimization of a model free energy functional for a system of hard spheres we show that the width of the local peaks of the timeaveraged density field at a glassy freeenergy minimum exhibits large spatial variation similar to that of the local debyewaller factor in simulations of dynamical heterogeneity molecular dynamics simulations starting from a particle configuration generated from the density distribution at a glassy freeenergy minimum show similar spatial heterogeneity in the degree of localization implying a direct connection between dynamical heterogeneity and the structure of glassy free energy minima | [['from', 'numerical', 'minimization', 'of', 'a', 'model', 'free', 'energy', 'functional', 'for', 'a', 'system', 'of', 'hard', 'spheres', 'we', 'show', 'that', 'the', 'width', 'of', 'the', 'local', 'peaks', 'of', 'the', 'timeaveraged', 'density', 'field', 'at', 'a', 'glassy', 'freeenergy', 'minimum', 'exhibits', 'large', 'spatial', 'variation', 'similar', 'to', 'that', 'of', 'the', 'local', 'debyewaller', 'factor', 'in', 'simulations', 'of', 'dynamical', 'heterogeneity', 'molecular', 'dynamics', 'simulations', 'starting', 'from', 'a', 'particle', 'configuration', 'generated', 'from', 'the', 'density', 'distribution', 'at', 'a', 'glassy', 'freeenergy', 'minimum', 'show', 'similar', 'spatial', 'heterogeneity', 'in', 'the', 'degree', 'of', 'localization', 'implying', 'a', 'direct', 'connection', 'between', 'dynamical', 'heterogeneity', 'and', 'the', 'structure', 'of', 'glassy', 'free', 'energy', 'minima']] | [-0.13835821293735057, 0.1563421005423191, -0.1615134290149135, 0.08079391614764288, 0.05123858062690625, -0.05925079549021859, 0.038277933246365956, 0.34810614467207945, -0.32501375604601157, -0.3269421060880025, -0.006883081344146562, -0.25653576009696527, -0.16051807703189952, 0.09400987445241621, 0.0392769914901545, 0.049959698357739515, 0.04114246110542007, 0.035678437317631415, -0.09202180930002722, -0.12619594276647375, 0.2751031245896092, 0.06150529723894853, 0.2766842133395614, 0.06985873111613816, 0.10948985743947247, 0.024136372614071092, 0.05093443574213613, 0.08928269265039314, -0.18260049875603454, 0.10676588046474643, 0.16711161740284453, 0.024214130573435334, 0.27822761367055115, -0.42714224396253464, -0.2770170176161393, 0.09098417180720517, 0.09636976653009012, 0.08389014246503032, -0.027357605531290973, -0.20460474433036901, 0.0700545339264296, -0.13716151912196575, -0.1690957023692067, -0.03403371603288237, 0.008446827366878028, 0.08848746217066242, -0.24869572420126348, 0.19982904517242023, -0.019643568076438682, 0.11148950181180431, -0.11969330117246636, -0.08436890968286823, -0.07472476164900488, 0.09038356851576076, 0.05176480540940638, 0.008097921127593645, 0.18414866488166554, -0.17557443931238145, -0.0729493943033039, 0.35258457345026795, -0.05466239145075682, -0.11621373414652802, 0.2297813594341278, -0.168971703077356, -0.1358769661371386, 0.24266717979504215, 0.14285612399739925, 0.06506388855757572, -0.11940661879939839, 0.06537535969325672, -0.027151447523044804, 0.22952919431351204, 0.038377015904012705, 0.023014598886572545, 0.21330090220867387, 0.18148418040245132, 0.10044513006884885, 0.15167310596593925, -0.1315145751471401, -0.17253484407700198, -0.2906528128090725, -0.1279823447838025, -0.258628578115535, 0.07792253565463808, -0.17011028113953333, -0.1834593988774765, 0.4175524088524042, 0.09143040784364266, 0.20800721987841592, 0.08520880990451382, 0.24010427232070636, 0.10578995067826523, 0.05434738694419784, 0.069981623671308, 0.19054717954087963, 0.13504950963561574, 0.06064117695855838, -0.30499511244406385, 0.04063289601516019, 0.02339882299964947] |
711.427 | Dynamics of coherent polaritons in double-well systems | We investigate the physics of coherent polaritons in a double-well
configuration under a resonant pumping. For a continuous wave pump, bistability
and self-pulsing regimes are identified as a function of the pump energy and
intensity. The response to an additional probe pulse is characterized in the
different cases and related to the Bogoliubov modes around the stationary
state. Under a pulsed pump, a crossover from Josephson-like oscillations to
self-trapping is predicted for increasing pump intensity. The accurateness of
the effective two-mode model is assessed by comparing its predictions to a full
solution of the non-equilibrium Gross-Pitaevskii equation.
| cond-mat.other | we investigate the physics of coherent polaritons in a doublewell configuration under a resonant pumping for a continuous wave pump bistability and selfpulsing regimes are identified as a function of the pump energy and intensity the response to an additional probe pulse is characterized in the different cases and related to the bogoliubov modes around the stationary state under a pulsed pump a crossover from josephsonlike oscillations to selftrapping is predicted for increasing pump intensity the accurateness of the effective twomode model is assessed by comparing its predictions to a full solution of the nonequilibrium grosspitaevskii equation | [['we', 'investigate', 'the', 'physics', 'of', 'coherent', 'polaritons', 'in', 'a', 'doublewell', 'configuration', 'under', 'a', 'resonant', 'pumping', 'for', 'a', 'continuous', 'wave', 'pump', 'bistability', 'and', 'selfpulsing', 'regimes', 'are', 'identified', 'as', 'a', 'function', 'of', 'the', 'pump', 'energy', 'and', 'intensity', 'the', 'response', 'to', 'an', 'additional', 'probe', 'pulse', 'is', 'characterized', 'in', 'the', 'different', 'cases', 'and', 'related', 'to', 'the', 'bogoliubov', 'modes', 'around', 'the', 'stationary', 'state', 'under', 'a', 'pulsed', 'pump', 'a', 'crossover', 'from', 'josephsonlike', 'oscillations', 'to', 'selftrapping', 'is', 'predicted', 'for', 'increasing', 'pump', 'intensity', 'the', 'accurateness', 'of', 'the', 'effective', 'twomode', 'model', 'is', 'assessed', 'by', 'comparing', 'its', 'predictions', 'to', 'a', 'full', 'solution', 'of', 'the', 'nonequilibrium', 'grosspitaevskii', 'equation']] | [-0.16131989672280772, 0.2032515323331121, -0.10343374238954377, 0.091123686026849, 0.011077429081514939, -0.16696799027051815, 0.08002626575462367, 0.36386552992632093, -0.2577802361152375, -0.22151991902831367, 0.016513693057595917, -0.26435008126829473, -0.08123745111575753, 0.2317349066376955, 0.02750169136801485, 0.0819644502318493, -0.022229285680295266, -0.03177402833879916, -0.006549816127367241, -0.1102756660914087, 0.28484854569716245, 0.025479097053715864, 0.3419223463417213, 0.024360452186959536, 0.12694984875120147, -0.03218806175678277, 0.08954103863390028, -0.04029895505523528, -0.14373282308959687, 0.0075251393970678145, 0.22152554751709871, 0.0031657001248455233, 0.2654253282613054, -0.41940463839348446, -0.2612928998627767, 0.06539087619670887, 0.13886622942236407, 0.1941167321365168, -0.029510562327635215, -0.3329559169594467, -0.030289243817924687, -0.12957976142078945, -0.17137083133740216, -0.06415016461912658, 0.026030491893515757, 0.0849607764868085, -0.31742583864282087, 0.08731850694964602, 0.019991780700853345, 0.04762665818915846, -0.09518714251654395, 0.012531249063838389, -0.07637487503354312, 0.02939159034981786, 0.030483475964295573, 0.020164147917104445, 0.16350756887557735, -0.20877023040288195, -0.08446144204845979, 0.35036799517705, -0.13388746810750557, -0.14249391777059256, 0.15507129262940786, -0.16111993434666128, 0.02582161138122229, 0.18586267227038128, 0.13530378749104427, 0.09429780334311048, -0.11890715528663594, 0.024140741919124135, -0.019688645670443688, 0.20552376258311814, 0.12536749390155538, 0.06339654188420739, 0.228593053901088, 0.20526996505513942, 0.034425186789018514, 0.2085094871671544, -0.08976162249251202, -0.10580901812627605, -0.2938190531321638, -0.07905628098194133, -0.19758292811337053, 0.06323263961770788, -0.019483762163910102, -0.13609864505622343, 0.4957112166430494, 0.11380340261672883, 0.13627740903517482, -0.012708967791620604, 0.2913112881612609, 0.2390910061064282, -0.009177816119621094, -0.013648206080050813, 0.29154976952782613, 0.18159412996142565, 0.10333642401953333, -0.3263954276569456, -0.006283568563995902, -0.020020408282229275] |
711.4271 | Solution of spin-boson systems in one and two-dimensional geometry via
the asymptotic iteration method | We consider solutions of the $2\times 2$ matrix Hamiltonian of physical
systems within the context of the asymptotic iteration method. Our technique is
based on transformation of the associated Hamiltonian in the form of the first
order coupled differential equations. We construct a general matrix Hamiltonian
which includes a wide class of physical models. The systematic study presented
here reproduces a number of earlier results in a natural way as well as leading
to new findings. Possible generalizations of the method are also suggested.
| quant-ph | we consider solutions of the 2times 2 matrix hamiltonian of physical systems within the context of the asymptotic iteration method our technique is based on transformation of the associated hamiltonian in the form of the first order coupled differential equations we construct a general matrix hamiltonian which includes a wide class of physical models the systematic study presented here reproduces a number of earlier results in a natural way as well as leading to new findings possible generalizations of the method are also suggested | [['we', 'consider', 'solutions', 'of', 'the', '2times', '2', 'matrix', 'hamiltonian', 'of', 'physical', 'systems', 'within', 'the', 'context', 'of', 'the', 'asymptotic', 'iteration', 'method', 'our', 'technique', 'is', 'based', 'on', 'transformation', 'of', 'the', 'associated', 'hamiltonian', 'in', 'the', 'form', 'of', 'the', 'first', 'order', 'coupled', 'differential', 'equations', 'we', 'construct', 'a', 'general', 'matrix', 'hamiltonian', 'which', 'includes', 'a', 'wide', 'class', 'of', 'physical', 'models', 'the', 'systematic', 'study', 'presented', 'here', 'reproduces', 'a', 'number', 'of', 'earlier', 'results', 'in', 'a', 'natural', 'way', 'as', 'well', 'as', 'leading', 'to', 'new', 'findings', 'possible', 'generalizations', 'of', 'the', 'method', 'are', 'also', 'suggested']] | [-0.11270935008568424, 0.046441879927269406, -0.0624384174478196, 0.035921951108667555, -0.049288974032692966, -0.07526329375936516, 0.010917822475589457, 0.2975999902867313, -0.234825966657982, -0.3171264916614053, 0.09442622914710748, -0.23693262073876603, -0.23310173661836112, 0.22062399055409646, -0.026901568494005396, 0.08889574048641537, 0.031136282290043754, 0.06023438678433498, -0.1173685889481844, -0.20716398766186708, 0.3530378821250495, 0.017965396999248436, 0.21272933877272798, 0.007015065644823369, 0.11786647459736005, -0.015032427163705939, -0.04211564480681859, 0.018301540276124365, -0.1297659815089511, 0.12766681657549703, 0.2045316309244126, 0.10728856855227302, 0.2552519998890126, -0.4024475366985869, -0.2088147540510233, 0.047068060508796146, 0.13984709651586377, 0.16341604643578952, -0.045585293019290214, -0.24801386778597675, 0.06430382789611551, -0.21587161346161293, -0.18729622037859545, -0.09794861689165589, -0.02320592464613063, 0.0364966339943099, -0.2770511903522891, 0.07997971977684279, 0.07169740630169621, 0.006113404319399879, -0.07824243617055583, -0.11121936806982073, 0.01753353790956594, 0.08695991916049804, 0.01771066015048529, -0.015348183704883837, 0.06278541026681307, -0.06883250550821512, -0.12082986286397845, 0.42554837352197084, -0.07520125244627707, -0.21213132111976543, 0.1710612112905697, -0.09612622293865397, -0.18166227822214187, 0.09414222448443373, 0.19290196482082442, 0.18535103585634802, -0.17769672279246151, 0.1042557387679283, -0.07391492856134262, 0.12373585299411345, -0.0114065261829334, 0.03700220514812307, 0.1387272095196836, 0.18415691003402962, 0.06101145768272025, 0.15390775649021157, -0.029739477336988784, -0.15783451958850492, -0.3604930465863574, -0.16563408198722063, -0.1606957687874369, 0.05733219325442666, -0.09579148401861035, -0.1588413693105048, 0.4449388261612815, 0.1765920977396447, 0.2167116388944643, 0.05134523563347535, 0.23644444672390819, 0.15716188734569142, 0.06519557686433905, 0.0138489200922084, 0.1967190072949355, 0.18699981664706553, 0.06108935589214698, -0.20644854371147675, 0.014123698973673441, 0.11850536823649668] |
711.4272 | Casimir effect in 2+1 dimensional noncommutative theories | We study the Dirichlet Casimir effect for a complex scalar field on two
noncommutative spatial coordinates plus a commutative time. To that end, we
introduce Dirichlet-like boundary conditions on a curve contained in the
spatial plane, in such a way that the correct commutative limit can be reached.
We evaluate the resulting Casimir energy for two different curves: (a) Two
parallel lines separated by a distance $L$, and (b) a circle of radius $R$. In
the first case, the resulting Casimir energy agrees exactly with the one
corresponding to the commutative case, regardless of the values of $L$ and of
the noncommutativity scale $\theta$, while for the latter the commutative
behaviour is only recovered when $R >> \sqrt{\theta}$. Outside of that regime,
the dependence of the energy with $R$ is substantially changed due to
noncommutative corrections, becoming regular for $R \to 0$.
| hep-th | we study the dirichlet casimir effect for a complex scalar field on two noncommutative spatial coordinates plus a commutative time to that end we introduce dirichletlike boundary conditions on a curve contained in the spatial plane in such a way that the correct commutative limit can be reached we evaluate the resulting casimir energy for two different curves a two parallel lines separated by a distance l and b a circle of radius r in the first case the resulting casimir energy agrees exactly with the one corresponding to the commutative case regardless of the values of l and of the noncommutativity scale theta while for the latter the commutative behaviour is only recovered when r sqrttheta outside of that regime the dependence of the energy with r is substantially changed due to noncommutative corrections becoming regular for r to 0 | [['we', 'study', 'the', 'dirichlet', 'casimir', 'effect', 'for', 'a', 'complex', 'scalar', 'field', 'on', 'two', 'noncommutative', 'spatial', 'coordinates', 'plus', 'a', 'commutative', 'time', 'to', 'that', 'end', 'we', 'introduce', 'dirichletlike', 'boundary', 'conditions', 'on', 'a', 'curve', 'contained', 'in', 'the', 'spatial', 'plane', 'in', 'such', 'a', 'way', 'that', 'the', 'correct', 'commutative', 'limit', 'can', 'be', 'reached', 'we', 'evaluate', 'the', 'resulting', 'casimir', 'energy', 'for', 'two', 'different', 'curves', 'a', 'two', 'parallel', 'lines', 'separated', 'by', 'a', 'distance', 'l', 'and', 'b', 'a', 'circle', 'of', 'radius', 'r', 'in', 'the', 'first', 'case', 'the', 'resulting', 'casimir', 'energy', 'agrees', 'exactly', 'with', 'the', 'one', 'corresponding', 'to', 'the', 'commutative', 'case', 'regardless', 'of', 'the', 'values', 'of', 'l', 'and', 'of', 'the', 'noncommutativity', 'scale', 'theta', 'while', 'for', 'the', 'latter', 'the', 'commutative', 'behaviour', 'is', 'only', 'recovered', 'when', 'r', 'sqrttheta', 'outside', 'of', 'that', 'regime', 'the', 'dependence', 'of', 'the', 'energy', 'with', 'r', 'is', 'substantially', 'changed', 'due', 'to', 'noncommutative', 'corrections', 'becoming', 'regular', 'for', 'r', 'to', '0']] | [-0.18114050105874632, 0.10462612146924494, -0.08490886337434252, 0.06955457942936807, -0.055121141956485015, -0.15234537459480582, -0.013476287014782429, 0.3253058035402222, -0.281315306723382, -0.2476260085979886, 0.07945154825677923, -0.25356800467476037, -0.06183389504935513, 0.19890018241543567, -0.04555941152498654, -0.02179185225096191, 0.018113967318563386, 0.09872578620474706, -0.10928313524779329, -0.21131490213888968, 0.364855072586566, 0.03369228836439603, 0.20367716071823389, 0.037454615281036135, 0.06209332492955504, 0.02880601733691779, 0.0003448393962061997, 0.0859424483645311, -0.16124988473362104, 0.08232250785891046, 0.21606702510769485, 0.013476201906100127, 0.2261364035942453, -0.3644341489115188, -0.1644337268906203, 0.14123069929249638, 0.14339451938669415, 0.03670500159422134, 0.02790049480188453, -0.22703978942429764, 0.08523017669704261, -0.15114460415900388, -0.15178498597105583, -0.002527751794732209, 0.0869889657998933, -0.025793960547084584, -0.27722440125645265, 0.06275344503950989, 0.06424263597495775, 0.0665356783090648, -0.05216376108929832, -0.09595843536633972, -0.03762695416213667, 0.10228091041687117, 0.04339164917287912, 0.04978753234497569, 0.12163832904903073, -0.0947619084468923, -0.04205000791649156, 0.3747971065421688, -0.08457663704489246, -0.21951429376788173, 0.1516712882377683, -0.20407928943845396, -0.08455192304962704, 0.1047097532250357, 0.10193830278721895, 0.13512966134552415, -0.08694142998736566, 0.18726697578243515, -0.02917851428567359, 0.1569626361221663, 0.11177991870922822, 0.006389064458363973, 0.20304717336853978, 0.06018071341599133, 0.06354720331728458, 0.1422081647448222, -0.08357409481124305, -0.10047907385965214, -0.35972904770615255, -0.1483453102541942, -0.18623296869340755, 0.08790755886848725, -0.12944937697492032, -0.17755152776520303, 0.39491332955790537, 0.11918861363149176, 0.23385536105286145, 0.0643365171544769, 0.26960776632664896, 0.11079170482426366, 0.06471521932019106, 0.06611486995619134, 0.21612963730515583, 0.1326598249151246, 0.09814180082192393, -0.21466910977458173, -0.034759037163610576, 0.09218040234838606] |
711.4273 | Non critical holographic models of the thermal phases of QCD | We analyze the thermal phases of a non critical holographic model of QCD. The
model is based on a six dimensional background of $N_c$ non extremal D4 branes
wrapping a spacial circle of radius $R$ and the compactified Euclidean time
direction of radius $\beta=1/T$. We place in this background stacks of $N_f$ D4
and anti-D4 flavor probe branes with a separation distance $L$ at large radial
direction. %The dual theory is a 4+1 dimensional $SU(N_c)$ gauge theory
%compactified on a radius $R$ with anti-periodic boundary conditions for the
fermions. The analysis of the DBI effective action yields the following phase
diagram: At low temperature the system is in a confining phase with broken
chiral symmetry. In the high temperature deconfining phase chiral symmetry can
be either restored for $L>L_c=1.06 R$ or broken for $L<L_c$. All of these phase
transitions are of first order. We analyze the spectrum of the low-spin and
high-spin mesons. High spin mesons above certain critical angular momentum
``melt''. We detect (no) drag for (mesons) quarks moving in hot quark-gluon
fluid. The results resemble the structure and properties of the thermal
Sakai-Sugimoto model derived in hep-th/0604161.
| hep-th | we analyze the thermal phases of a non critical holographic model of qcd the model is based on a six dimensional background of n_c non extremal d4 branes wrapping a spacial circle of radius r and the compactified euclidean time direction of radius beta1t we place in this background stacks of n_f d4 and antid4 flavor probe branes with a separation distance l at large radial direction the dual theory is a 41 dimensional sun_c gauge theory compactified on a radius r with antiperiodic boundary conditions for the fermions the analysis of the dbi effective action yields the following phase diagram at low temperature the system is in a confining phase with broken chiral symmetry in the high temperature deconfining phase chiral symmetry can be either restored for ll_c106 r or broken for ll_c all of these phase transitions are of first order we analyze the spectrum of the lowspin and highspin mesons high spin mesons above certain critical angular momentum melt we detect no drag for mesons quarks moving in hot quarkgluon fluid the results resemble the structure and properties of the thermal sakaisugimoto model derived in hepth0604161 | [['we', 'analyze', 'the', 'thermal', 'phases', 'of', 'a', 'non', 'critical', 'holographic', 'model', 'of', 'qcd', 'the', 'model', 'is', 'based', 'on', 'a', 'six', 'dimensional', 'background', 'of', 'n_c', 'non', 'extremal', 'd4', 'branes', 'wrapping', 'a', 'spacial', 'circle', 'of', 'radius', 'r', 'and', 'the', 'compactified', 'euclidean', 'time', 'direction', 'of', 'radius', 'beta1t', 'we', 'place', 'in', 'this', 'background', 'stacks', 'of', 'n_f', 'd4', 'and', 'antid4', 'flavor', 'probe', 'branes', 'with', 'a', 'separation', 'distance', 'l', 'at', 'large', 'radial', 'direction', 'the', 'dual', 'theory', 'is', 'a', '41', 'dimensional', 'sun_c', 'gauge', 'theory', 'compactified', 'on', 'a', 'radius', 'r', 'with', 'antiperiodic', 'boundary', 'conditions', 'for', 'the', 'fermions', 'the', 'analysis', 'of', 'the', 'dbi', 'effective', 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711.4274 | Exciton dephasing in quantum dots: Coupling to LO phonons via excited
states | We have found a novel mechanism of spectral broadening and dephasing in
quantum dots (QDs) due to the coupling to longitudinal-optical (LO) phonons. In
theory, this mechanism comes into play only if the complete manifold of exciton
levels (including those in the wetting-layer continuum) is taken into account.
We demonstrate this nontrivial dephasing in different types of QDs, using the
exactly solvable quadratic coupling model, here generalized to an arbitrary
number of excitonic states.
| cond-mat.mes-hall | we have found a novel mechanism of spectral broadening and dephasing in quantum dots qds due to the coupling to longitudinaloptical lo phonons in theory this mechanism comes into play only if the complete manifold of exciton levels including those in the wettinglayer continuum is taken into account we demonstrate this nontrivial dephasing in different types of qds using the exactly solvable quadratic coupling model here generalized to an arbitrary number of excitonic states | [['we', 'have', 'found', 'a', 'novel', 'mechanism', 'of', 'spectral', 'broadening', 'and', 'dephasing', 'in', 'quantum', 'dots', 'qds', 'due', 'to', 'the', 'coupling', 'to', 'longitudinaloptical', 'lo', 'phonons', 'in', 'theory', 'this', 'mechanism', 'comes', 'into', 'play', 'only', 'if', 'the', 'complete', 'manifold', 'of', 'exciton', 'levels', 'including', 'those', 'in', 'the', 'wettinglayer', 'continuum', 'is', 'taken', 'into', 'account', 'we', 'demonstrate', 'this', 'nontrivial', 'dephasing', 'in', 'different', 'types', 'of', 'qds', 'using', 'the', 'exactly', 'solvable', 'quadratic', 'coupling', 'model', 'here', 'generalized', 'to', 'an', 'arbitrary', 'number', 'of', 'excitonic', 'states']] | [-0.12741494028867312, 0.18708065588028036, -0.05547948559261348, 0.06578611854738109, 0.005493434860485874, -0.18481525080278516, 0.02095879189676465, 0.405027583624198, -0.2664138755110437, -0.27107073219926797, -0.05952970142004221, -0.2648049774515915, -0.12339154657053009, 0.15865025336037658, -0.001858346808497628, -0.0194141465711267, 0.013584601909738698, -0.04524090513586998, 0.009489375115563609, -0.2079063435994114, 0.32122691005009085, 0.0007209876545845237, 0.28439352547188534, 0.13787586679554556, 0.08405134618945725, 0.01082470007751086, 0.0709840908857088, -0.017152289209300526, -0.11525772275301079, 0.06939436436857237, 0.2588152806689223, -0.03913614081780184, 0.26230454619348764, -0.4687862706255831, -0.20806486135323163, 0.08959654694397563, 0.1772953567082343, 0.20632563048195451, -0.014480261093847556, -0.28679129875532977, 0.04580278468018474, -0.15218139331379574, -0.06755969814369328, -0.06542389693571102, -0.0004003189937913255, -0.07838100106264018, -0.24422850782906458, 0.06264135828369284, 0.09869499929402381, 0.0033194098395055434, -0.07828985131664636, -0.09362151436404044, -0.0417126604572755, 0.11591676173553075, 0.01163210470248524, -0.03372821958786617, 0.09989713000018813, -0.08525754334660221, -0.1499618272335358, 0.3858831847622378, -0.06881400953008704, -0.1578185425765098, 0.13015518576059848, -0.14192161177068133, -0.10649794673751274, 0.15942169432464529, 0.16332592378842503, 0.0920260273787665, -0.11999591884254286, 0.11692263261169476, 0.021909914502542312, 0.17226263628124375, 0.009242001473616604, 0.15848387668087874, 0.18792608358629354, 0.11379699414111163, 0.009412110276035454, 0.16896427663885158, -0.04729585709729653, -0.12443825965811027, -0.27250085934384227, -0.13168160735999476, -0.1990384185074331, 0.14956669383626495, -0.06893345281742481, -0.16202325859642908, 0.43913914874349147, 0.12441781341107817, 0.1913866845520902, -0.005465874231535278, 0.25238132267578006, 0.17394545401306186, 0.08800307011920704, 0.016017074058827473, 0.2672092366121607, 0.1748926402260996, -0.008204819200790091, -0.3081335419380706, -0.025880999671780085, 0.011148916822156473] |
711.4275 | A Complete Scheme of Ionization Cooling for a Muon Collider | A complete scheme for production and cooling a muon beam for three specified
muon colliders is presented. Parameters for these muon colliders are given. The
scheme starts with the front end of a proposed neutrino factory that yields
bunch trains of both muon signs. Emittance exchange cooling in slow helical
lattices reduces the longitudinal emittance until it becomes possible to merge
the trains into single bunches, one of each sign. Further cooling in all
dimensions is applied to the single bunches in further slow helical lattices.
Final transverse cooling to the required parameters is achieved in 50 T
solenoids using high Tc superconductor at 4 K. Preliminary simulations of each
element are presented.
| physics.acc-ph | a complete scheme for production and cooling a muon beam for three specified muon colliders is presented parameters for these muon colliders are given the scheme starts with the front end of a proposed neutrino factory that yields bunch trains of both muon signs emittance exchange cooling in slow helical lattices reduces the longitudinal emittance until it becomes possible to merge the trains into single bunches one of each sign further cooling in all dimensions is applied to the single bunches in further slow helical lattices final transverse cooling to the required parameters is achieved in 50 t solenoids using high tc superconductor at 4 k preliminary simulations of each element are presented | [['a', 'complete', 'scheme', 'for', 'production', 'and', 'cooling', 'a', 'muon', 'beam', 'for', 'three', 'specified', 'muon', 'colliders', 'is', 'presented', 'parameters', 'for', 'these', 'muon', 'colliders', 'are', 'given', 'the', 'scheme', 'starts', 'with', 'the', 'front', 'end', 'of', 'a', 'proposed', 'neutrino', 'factory', 'that', 'yields', 'bunch', 'trains', 'of', 'both', 'muon', 'signs', 'emittance', 'exchange', 'cooling', 'in', 'slow', 'helical', 'lattices', 'reduces', 'the', 'longitudinal', 'emittance', 'until', 'it', 'becomes', 'possible', 'to', 'merge', 'the', 'trains', 'into', 'single', 'bunches', 'one', 'of', 'each', 'sign', 'further', 'cooling', 'in', 'all', 'dimensions', 'is', 'applied', 'to', 'the', 'single', 'bunches', 'in', 'further', 'slow', 'helical', 'lattices', 'final', 'transverse', 'cooling', 'to', 'the', 'required', 'parameters', 'is', 'achieved', 'in', '50', 't', 'solenoids', 'using', 'high', 'tc', 'superconductor', 'at', '4', 'k', 'preliminary', 'simulations', 'of', 'each', 'element', 'are', 'presented']] | [-0.14364392540945087, 0.28899951463779516, -0.018338632230045258, 0.07145012456375643, -0.04114877849207383, -0.20222778673967826, 0.025229754775301018, 0.4260081530474456, -0.23210299440424692, -0.2523680349927297, 0.026988232276501316, -0.2847345894350942, 0.08439560933862772, 0.25159143128399364, 0.03743878226166805, 0.08698353326294274, 0.09470813347653081, 0.005911415620022907, -0.06957812509262538, -0.29851598135583035, 0.210628461867439, 0.09985973684331484, 0.28709085268046775, 0.062321023244938226, 0.15815107470411247, 0.00932934570777337, 0.03079571158149222, -0.0359969461930141, -0.09041597175575944, -0.008342049698617342, 0.23048321998974852, 0.062229208854249624, 0.19405827197386363, -0.4254389340140387, -0.16232298864711042, 0.0594234525646388, 0.16769650903225472, 0.12972128768739974, -0.08577211858061827, -0.17895200059839847, 0.10618298246929075, -0.17450210379551997, -0.143194013159821, -0.048204535725567724, -0.0247735145081461, 0.01807613877694955, -0.3161039805880426, 0.030119744900086547, 0.027604552941907824, 0.03741579146981569, -0.01746214539496706, -0.1260300380614611, -0.013551401625494513, 0.03888962669730747, 0.06738717117412757, 0.09946655695928278, 0.15184696060935018, -0.1169407967750016, -0.1527612518881802, 0.3469857233782521, -0.02023839882360689, -0.13786542554081013, 0.144837942510118, -0.20158440779185796, -0.05857490400363386, 0.24045916429959832, 0.18699334876970347, 0.06355241471819117, -0.14122069756442732, -0.004999413345095628, 0.020724356586558627, 0.15936203429318832, 0.10120550136543414, -0.018652854223562554, 0.2149004685502928, 0.2602950827078482, 0.08350311029718908, 0.12332614226085423, -0.14785503283291396, -0.005923923179692696, -0.3524866472307461, -0.12703502449965254, -0.10740330143300075, 0.020883185269756126, -0.02662879338194884, -0.09419717519354504, 0.4283203541950103, 0.10843572539435256, 0.20695458950919915, -0.04062653702593087, 0.34714984593797577, 0.08070534588851497, 0.08975147872965421, 0.07134408464210223, 0.2266257141214029, 0.1467686179629733, 0.13252528476635966, -0.2759930300114231, -0.012223362683656468, 0.07807517705270939] |
711.4276 | The number of dimensional fundamental constants | We revisit, qualify, and objectively resolve the seemingly controversial
question about what is the number of dimensional fundamental constants in
Nature. For this purpose, we only assume that all we can directly measure are
space and time intervals, and that this is enough to evaluate any physical
observable. We conclude that the number of dimensional fundamental constants is
two. We emphasize that this is an objective result rather than a "philosophical
opinion", and we let it clear how it could be refuted in order to prove us
wrong. Our conclusion coincides with Veneziano's string-theoretical one but our
arguments are not based on any particular theory. As a result, this implies
that one of the three usually considered fundamental constants "G", "c" or "h"
can be eliminated and we show explicitly how this can be accomplished.
| physics.class-ph gr-qc hep-th physics.gen-ph | we revisit qualify and objectively resolve the seemingly controversial question about what is the number of dimensional fundamental constants in nature for this purpose we only assume that all we can directly measure are space and time intervals and that this is enough to evaluate any physical observable we conclude that the number of dimensional fundamental constants is two we emphasize that this is an objective result rather than a philosophical opinion and we let it clear how it could be refuted in order to prove us wrong our conclusion coincides with venezianos stringtheoretical one but our arguments are not based on any particular theory as a result this implies that one of the three usually considered fundamental constants g c or h can be eliminated and we show explicitly how this can be accomplished | [['we', 'revisit', 'qualify', 'and', 'objectively', 'resolve', 'the', 'seemingly', 'controversial', 'question', 'about', 'what', 'is', 'the', 'number', 'of', 'dimensional', 'fundamental', 'constants', 'in', 'nature', 'for', 'this', 'purpose', 'we', 'only', 'assume', 'that', 'all', 'we', 'can', 'directly', 'measure', 'are', 'space', 'and', 'time', 'intervals', 'and', 'that', 'this', 'is', 'enough', 'to', 'evaluate', 'any', 'physical', 'observable', 'we', 'conclude', 'that', 'the', 'number', 'of', 'dimensional', 'fundamental', 'constants', 'is', 'two', 'we', 'emphasize', 'that', 'this', 'is', 'an', 'objective', 'result', 'rather', 'than', 'a', 'philosophical', 'opinion', 'and', 'we', 'let', 'it', 'clear', 'how', 'it', 'could', 'be', 'refuted', 'in', 'order', 'to', 'prove', 'us', 'wrong', 'our', 'conclusion', 'coincides', 'with', 'venezianos', 'stringtheoretical', 'one', 'but', 'our', 'arguments', 'are', 'not', 'based', 'on', 'any', 'particular', 'theory', 'as', 'a', 'result', 'this', 'implies', 'that', 'one', 'of', 'the', 'three', 'usually', 'considered', 'fundamental', 'constants', 'g', 'c', 'or', 'h', 'can', 'be', 'eliminated', 'and', 'we', 'show', 'explicitly', 'how', 'this', 'can', 'be', 'accomplished']] | [-0.1051855151502726, 0.1362211500838856, -0.11903698093913219, 0.10501487504052757, -0.12535174682529437, -0.13492342187264175, 0.05594832373144864, 0.39744968258741276, -0.26319171324937124, -0.2835181602173381, 0.10971910259341476, -0.21781768925074074, -0.17198764610587172, 0.19022212392581558, -0.10419102551208602, -0.03438704442922716, 0.04382080422817833, 0.07256730555522221, -0.02277812689577264, -0.2775464196861894, 0.35076215433008556, -0.006215989220611475, 0.21579007618129253, 0.10471405601991271, 0.055158103563546855, -0.025120398254754643, -0.020865993212080665, 0.059351504902588205, -0.14775129200301038, 0.11667717652809288, 0.24976753735983814, 0.1573550953909203, 0.28958415379402813, -0.39100601297837717, -0.19783517818346066, 0.15179777848534287, 0.14912476331012806, 0.11452401603261629, 0.018051014762130325, -0.2141620838359274, 0.1156502099837073, -0.12122548094571188, -0.150470432397668, -0.11722182261378125, 0.017900335581766236, -0.05443030053284019, -0.23330777681053236, 0.042602908947608535, 0.0947905538879611, 0.013973597126702467, -0.034429864388355914, -0.0961754035687557, 0.02495933011243189, 0.13362708909919968, 0.07397199676251384, 0.053343352311532255, 0.06642894850078004, -0.0651751915588479, -0.11319465467197544, 0.40755440047079766, -0.04668519128150634, -0.23011811038962118, 0.21684189684585564, -0.1783771628772633, -0.17125725151488075, 0.03817548759160908, 0.09456177373692669, 0.12201102880967987, -0.1270417959774258, 0.07114987569749011, -0.0893831949448213, 0.22464151871563107, 0.06998922521317447, 0.018844493269851364, 0.19487985637452868, 0.10599812399984027, 0.04693196749107705, 0.08264338779521899, -0.006164076474184791, -0.048651045757449336, -0.33930048514157535, -0.18517986529989652, -0.19243512300826196, 0.11277579331470877, -0.04732937327083804, -0.10484663804268671, 0.3404376150160614, 0.22286985800687775, 0.2164405939772863, 0.02969982390533443, 0.259326159450467, 0.13032002365302847, 0.045060780577154624, 0.0665366092213878, 0.25781914863597466, 0.07774134709465283, 0.023945593723544368, -0.16276744637396875, 0.10165677932263524, 0.05532753344763208] |
711.4277 | Statistics of charge transfer through impurities in strongly correlated
1D metals | We review recent advances in the field of full counting statistics (FCS) of
charge transfer through impurities imbedded into strongly correlated
one-dimensional metallic systems, modelled by Tomonaga-Luttinger liquids
(TLLs). We concentrate on the exact analytic solutions for the cumulant
generating function (CGF), which became available recently and apply these
methods in order to obtain the FCS of a non-trivial contact between two crossed
TLL.
| cond-mat.mes-hall cond-mat.str-el | we review recent advances in the field of full counting statistics fcs of charge transfer through impurities imbedded into strongly correlated onedimensional metallic systems modelled by tomonagaluttinger liquids tlls we concentrate on the exact analytic solutions for the cumulant generating function cgf which became available recently and apply these methods in order to obtain the fcs of a nontrivial contact between two crossed tll | [['we', 'review', 'recent', 'advances', 'in', 'the', 'field', 'of', 'full', 'counting', 'statistics', 'fcs', 'of', 'charge', 'transfer', 'through', 'impurities', 'imbedded', 'into', 'strongly', 'correlated', 'onedimensional', 'metallic', 'systems', 'modelled', 'by', 'tomonagaluttinger', 'liquids', 'tlls', 'we', 'concentrate', 'on', 'the', 'exact', 'analytic', 'solutions', 'for', 'the', 'cumulant', 'generating', 'function', 'cgf', 'which', 'became', 'available', 'recently', 'and', 'apply', 'these', 'methods', 'in', 'order', 'to', 'obtain', 'the', 'fcs', 'of', 'a', 'nontrivial', 'contact', 'between', 'two', 'crossed', 'tll']] | [-0.13965762980296859, 0.14676305717148352, -0.06466750786057673, 0.0753990030643763, -0.00024129979647113942, -0.16897901643096702, 0.023325393103732495, 0.36048655927879736, -0.21111604335601442, -0.24023938671598444, 0.02567524306141422, -0.33119728801830206, -0.15760612550730002, 0.1994031662979978, 0.051007340276555624, 0.0824399630979542, 0.008116509736282751, -0.008150774963723961, -0.1320135643472895, -0.22051501680107322, 0.29955689869530033, -0.04388101711811032, 0.3044718012679368, 0.08977951214637869, 0.08160933310864493, 0.10230279799725395, -0.01294057436825824, 0.052045598453332786, -0.2157347252505133, 0.11734841990983114, 0.27988107010605745, -0.018066275493765716, 0.17195576977246674, -0.5008211643435061, -0.22519496829772834, 0.04187691771949176, 0.15503400689340197, 0.11980887078061642, -0.048963391624056385, -0.28980594538734294, -0.0070803637863718905, -0.2260026091389591, -0.11312632978660986, -0.1250687864376232, 0.006031108025126741, 0.08105645858449861, -0.21927318716370792, 0.12105316027009394, 0.0485015892481897, 0.056286984035978094, -0.018126479062630096, -0.09978617946035229, 0.01959521759999916, 0.1380412863145466, 0.029570476378012245, -0.005469247262226418, 0.13533711918717017, -0.15663496550405398, -0.11208938543495606, 0.2832540383533342, -0.053342142009569216, -0.19049641455058008, 0.19788641830382403, -0.1962612822826486, -0.12227310340676922, 0.16244046136853285, 0.107788077526493, 0.11479207845695782, -0.17959881663955457, 0.098207291676772, -0.03635043623216916, 0.13204164872831825, 0.02289759025006788, 0.017760720984369982, 0.24733540053421166, 0.15419487594772363, 0.03521201071271207, 0.17986643422045745, -0.058618426675820956, -0.13889125720015727, -0.25583758583525196, -0.15686521362476924, -0.251465560606448, 0.07701553974766284, 0.0017938147213953926, -0.22190708585549146, 0.399850275774952, 0.14709703357584658, 0.17047809284122195, 0.009519897501377272, 0.27347205314435996, 0.150050771626411, 0.010666665955795906, 0.006898880921653472, 0.17994615104180411, 0.18594554450100986, 0.07859809430738096, -0.2348129593883641, 0.001514461810074863, 0.11839273189252708] |
711.4278 | Gamma-Ray Pulsar Studies with GLAST | Some pulsars have their maximum observable energy output in the gamma-ray
band, offering the possibility of using these high-energy photons as probes of
the particle acceleration and interaction processes in pulsar magnetospheres.
After an extended hiatus between satellite missions, the recently-launched
AGILE mission and the upcoming Gamma-ray Large Area Space Telescope (GLAST)
Large Area Telescope (LAT) will allow gamma-ray tests of the theoretical models
developed based on past discoveries. With its greatly improved sensitivity,
better angular resolution, and larger energy reach than older instruments,
GLAST LAT should detect dozens to hundreds of new gamma-ray pulsars and measure
luminosities, light curves, and phase-resolved spectra with unprecedented
resolution. It will also have the potential to find radio-quiet pulsars like
Geminga, using blind search techniques. Cooperation with radio and X-ray pulsar
astronomers is an important aspect of the LAT team's planning for pulsar
studies.
| astro-ph | some pulsars have their maximum observable energy output in the gammaray band offering the possibility of using these highenergy photons as probes of the particle acceleration and interaction processes in pulsar magnetospheres after an extended hiatus between satellite missions the recentlylaunched agile mission and the upcoming gammaray large area space telescope glast large area telescope lat will allow gammaray tests of the theoretical models developed based on past discoveries with its greatly improved sensitivity better angular resolution and larger energy reach than older instruments glast lat should detect dozens to hundreds of new gammaray pulsars and measure luminosities light curves and phaseresolved spectra with unprecedented resolution it will also have the potential to find radioquiet pulsars like geminga using blind search techniques cooperation with radio and xray pulsar astronomers is an important aspect of the lat teams planning for pulsar studies | [['some', 'pulsars', 'have', 'their', 'maximum', 'observable', 'energy', 'output', 'in', 'the', 'gammaray', 'band', 'offering', 'the', 'possibility', 'of', 'using', 'these', 'highenergy', 'photons', 'as', 'probes', 'of', 'the', 'particle', 'acceleration', 'and', 'interaction', 'processes', 'in', 'pulsar', 'magnetospheres', 'after', 'an', 'extended', 'hiatus', 'between', 'satellite', 'missions', 'the', 'recentlylaunched', 'agile', 'mission', 'and', 'the', 'upcoming', 'gammaray', 'large', 'area', 'space', 'telescope', 'glast', 'large', 'area', 'telescope', 'lat', 'will', 'allow', 'gammaray', 'tests', 'of', 'the', 'theoretical', 'models', 'developed', 'based', 'on', 'past', 'discoveries', 'with', 'its', 'greatly', 'improved', 'sensitivity', 'better', 'angular', 'resolution', 'and', 'larger', 'energy', 'reach', 'than', 'older', 'instruments', 'glast', 'lat', 'should', 'detect', 'dozens', 'to', 'hundreds', 'of', 'new', 'gammaray', 'pulsars', 'and', 'measure', 'luminosities', 'light', 'curves', 'and', 'phaseresolved', 'spectra', 'with', 'unprecedented', 'resolution', 'it', 'will', 'also', 'have', 'the', 'potential', 'to', 'find', 'radioquiet', 'pulsars', 'like', 'geminga', 'using', 'blind', 'search', 'techniques', 'cooperation', 'with', 'radio', 'and', 'xray', 'pulsar', 'astronomers', 'is', 'an', 'important', 'aspect', 'of', 'the', 'lat', 'teams', 'planning', 'for', 'pulsar', 'studies']] | [-0.058149094653112736, 0.18728284583883592, -0.07405241824528004, 0.1950628691235663, -0.2159968789349845, -0.11073329677171212, 0.06005500229438833, 0.448649074013695, -0.16514916870584515, -0.44290953251064247, 0.058204369303268375, -0.3473565953829927, 0.0035079935671272853, 0.3540558976654611, -0.030820243374332257, 0.037539069177103986, 0.15190830903378785, -0.11356826878403782, -0.024468842725821026, -0.24043852239502478, 0.2058447246515714, 0.2463164951269191, 0.17864316967910432, -0.0025522882888318163, 0.09540120039815546, -0.056297060280562715, -0.08215295823277734, -0.04822518417288893, -0.08589662676875262, 0.10716942014215607, 0.29358980415962455, 0.17765225125608822, 0.1858486157861796, -0.3874564346797923, -0.24704231855505748, 0.13627036173451454, 0.14226519493699893, -0.08465089520822602, -0.016232780845512156, -0.3774737048999849, -0.03462129668167508, -0.26631235493122474, -0.2167161606278614, -0.009463269560736544, 0.03636861480904598, 0.09729355707820769, -0.09901578474132648, -0.008321436262625131, -0.04606522321337768, 0.06981034148674366, -0.14180023545574344, -0.08191088084395684, 0.062315551070364336, 0.06872665291612452, 0.09017840548127837, 0.04006713764173976, 0.11223561905575453, -0.14495954038377137, -0.1604665971744198, 0.3420384914832229, -0.019435349955154974, 0.0028987647668319814, 0.17061200514865102, -0.26449213240705166, -0.2278718749550006, 0.1832248896545341, 0.19239038505196382, 0.07480929499485445, -0.14745054094794582, 0.05137637829001834, 0.0346823489980389, 0.23249174064646164, 0.02803955498648517, 0.10883353110600977, 0.33886619900676906, 0.20162068645458286, 0.11190911676695055, 0.07633014321277672, -0.34714014062155135, 0.02203611020124286, -0.2090590010555659, -0.08115659067687968, -0.1496392560475473, 0.09577957971239502, -0.09012517001061264, -0.059372351001221554, 0.38617462142707504, 0.12856781107525453, 0.07899988328886107, 0.030025582374172643, 0.3374153954721657, 0.04691929328800278, 0.0935213163997466, 0.09189625675228576, 0.3902146860460523, 0.0666215766439254, 0.16937218274234245, -0.16569279618841987, 0.04687794976362444, -0.05471246555308871] |
711.4279 | Correlation-Polarization Effects in Electron/Positron Scattering from
Acetylene: A Comparison of Computational Models | Different computational methods are employed to evaluate elastic
(rotationally summed) integral and differential cross sections for low energy
(below about 10 eV) positron scattering off gas-phase C$_2$H$_2$ molecules. The
computations are carried out at the static and static-plus-polarization levels
for describing the interaction forces and the correlation-polarization
contributions are found to be an essential component for the correct
description of low-energy cross section behavior. The local model potentials
derived from density functional theory (DFT) and from the distributed positron
model (DPM) are found to produce very high-quality agreement with existing
measurements. On the other hand, the less satisfactory agreement between the
R-matrix (RM) results and measured data shows the effects of the slow
convergence rate of configuration-interaction (CI) expansion methods with
respect to the size of the CI-expansion. To contrast the positron scattering
findings, results for electron-C$_2$H$_2$ integral and differential cross
sections, calculated with both a DFT model potential and the R-matrix method,
are compared and analysed around the shape resonance energy region and found to
produce better internal agreement.
| physics.chem-ph | different computational methods are employed to evaluate elastic rotationally summed integral and differential cross sections for low energy below about 10 ev positron scattering off gasphase c_2h_2 molecules the computations are carried out at the static and staticpluspolarization levels for describing the interaction forces and the correlationpolarization contributions are found to be an essential component for the correct description of lowenergy cross section behavior the local model potentials derived from density functional theory dft and from the distributed positron model dpm are found to produce very highquality agreement with existing measurements on the other hand the less satisfactory agreement between the rmatrix rm results and measured data shows the effects of the slow convergence rate of configurationinteraction ci expansion methods with respect to the size of the ciexpansion to contrast the positron scattering findings results for electronc_2h_2 integral and differential cross sections calculated with both a dft model potential and the rmatrix method are compared and analysed around the shape resonance energy region and found to produce better internal agreement | [['different', 'computational', 'methods', 'are', 'employed', 'to', 'evaluate', 'elastic', 'rotationally', 'summed', 'integral', 'and', 'differential', 'cross', 'sections', 'for', 'low', 'energy', 'below', 'about', '10', 'ev', 'positron', 'scattering', 'off', 'gasphase', 'c_2h_2', 'molecules', 'the', 'computations', 'are', 'carried', 'out', 'at', 'the', 'static', 'and', 'staticpluspolarization', 'levels', 'for', 'describing', 'the', 'interaction', 'forces', 'and', 'the', 'correlationpolarization', 'contributions', 'are', 'found', 'to', 'be', 'an', 'essential', 'component', 'for', 'the', 'correct', 'description', 'of', 'lowenergy', 'cross', 'section', 'behavior', 'the', 'local', 'model', 'potentials', 'derived', 'from', 'density', 'functional', 'theory', 'dft', 'and', 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711.428 | Quantum Zeno dynamics and quantum Zeno subspaces | A quantum Zeno dynamics can be obtained by means of frequent measurements,
frequent unitary kicks or a strong continuous coupling and yields a partition
of the total Hilbert space into quantum Zeno subspaces, among which any
transition is hindered. We focus on the "continuous" version of the quantum
Zeno effect and look at several interesting examples. We first analyze these
examples in practical terms, towards applications, then propose a novel
experiment.
| quant-ph | a quantum zeno dynamics can be obtained by means of frequent measurements frequent unitary kicks or a strong continuous coupling and yields a partition of the total hilbert space into quantum zeno subspaces among which any transition is hindered we focus on the continuous version of the quantum zeno effect and look at several interesting examples we first analyze these examples in practical terms towards applications then propose a novel experiment | [['a', 'quantum', 'zeno', 'dynamics', 'can', 'be', 'obtained', 'by', 'means', 'of', 'frequent', 'measurements', 'frequent', 'unitary', 'kicks', 'or', 'a', 'strong', 'continuous', 'coupling', 'and', 'yields', 'a', 'partition', 'of', 'the', 'total', 'hilbert', 'space', 'into', 'quantum', 'zeno', 'subspaces', 'among', 'which', 'any', 'transition', 'is', 'hindered', 'we', 'focus', 'on', 'the', 'continuous', 'version', 'of', 'the', 'quantum', 'zeno', 'effect', 'and', 'look', 'at', 'several', 'interesting', 'examples', 'we', 'first', 'analyze', 'these', 'examples', 'in', 'practical', 'terms', 'towards', 'applications', 'then', 'propose', 'a', 'novel', 'experiment']] | [-0.16399082602993717, 0.1851219687722361, -0.07924834391574415, 0.09826426527587513, -0.05658413186459474, -0.15772871715082248, 0.08848323469365042, 0.36252214512984515, -0.27380177491462565, -0.2091695116504922, 0.10073457868658268, -0.2523270016011428, -0.1857383966242606, 0.23582324986083722, -0.06476097516494686, 0.06765325869184355, 0.09425607966390294, 0.04480202894815257, -0.0986917553548242, -0.21705741659265904, 0.320515350714116, 0.014359962524728142, 0.2388828227322706, 0.0351017618774843, 0.13372170832008123, 0.009579829578976554, 0.01825595546094045, 0.0440108973830512, -0.11945083503886847, 0.05975175521690661, 0.23761140359040928, 0.09191581077585129, 0.32852744080887086, -0.4409375783370834, -0.19958533766404005, 0.14014273259828103, 0.12366567512738033, 0.17566622075342744, -0.09980211796691563, -0.39305001964241687, 0.00700075249023683, -0.15275204333830888, -0.06555540102179831, -0.14764908569353358, 0.0029857761495497444, -0.03762249287847482, -0.2468484436279871, 0.0370110907513176, 0.07140888694778715, 0.05481086191262158, 0.02434578418574283, -0.025096769693871618, 0.06294905899328665, 0.10253156670762724, -0.0365011761732347, -0.019505861064445386, 0.1301442360518579, -0.08249910938566629, -0.19400874247879418, 0.3994020796577695, -0.02850489595062165, -0.1544701209895208, 0.20809756418768788, -0.14437947097614828, -0.14328573763527921, 0.08458812209502073, 0.1979234779489712, 0.11535621200963644, -0.1315591439922852, 0.09117280775648345, -0.01285437301037387, 0.12234302766253831, 0.050446455078330676, 0.1253948740949723, 0.1941367798045435, 0.14137337271543876, 0.08374457765685421, 0.19243236573931144, -0.04920938419191245, -0.15851547570348207, -0.31805725385185696, -0.18065376756843968, -0.18756278895143366, 0.10915780519987915, -0.08743429320829947, -0.11952330379313986, 0.38490849448709, 0.1390126895775992, 0.23320286971530024, 0.022638528989824717, 0.303469492155324, 0.1421148846775267, 0.03213396452000024, 0.024191129113167103, 0.1952169097461541, 0.11285430510712027, 0.03468929217393759, -0.25937987091413267, 0.06364077196495843, 0.08586112422291452] |
711.4281 | Study of dielectron production in C+C collisions at 1 AGeV | The emission of e+e- pairs from C+C collisions at an incident energy of 1 GeV
per nucleon has been investigated. The measured production probabilities,
spanning from the pi0-Dalitz to the rho/omega! invariant-mass region, display a
strong excess above the cocktail of standard hadronic sources. The
bombarding-energy dependence of this excess is found to scale like pion
production, rather than like eta production. The data are in good agreement
with results obtained in the former DLS experiment.
| nucl-ex | the emission of ee pairs from cc collisions at an incident energy of 1 gev per nucleon has been investigated the measured production probabilities spanning from the pi0dalitz to the rhoomega invariantmass region display a strong excess above the cocktail of standard hadronic sources the bombardingenergy dependence of this excess is found to scale like pion production rather than like eta production the data are in good agreement with results obtained in the former dls experiment | [['the', 'emission', 'of', 'ee', 'pairs', 'from', 'cc', 'collisions', 'at', 'an', 'incident', 'energy', 'of', '1', 'gev', 'per', 'nucleon', 'has', 'been', 'investigated', 'the', 'measured', 'production', 'probabilities', 'spanning', 'from', 'the', 'pi0dalitz', 'to', 'the', 'rhoomega', 'invariantmass', 'region', 'display', 'a', 'strong', 'excess', 'above', 'the', 'cocktail', 'of', 'standard', 'hadronic', 'sources', 'the', 'bombardingenergy', 'dependence', 'of', 'this', 'excess', 'is', 'found', 'to', 'scale', 'like', 'pion', 'production', 'rather', 'than', 'like', 'eta', 'production', 'the', 'data', 'are', 'in', 'good', 'agreement', 'with', 'results', 'obtained', 'in', 'the', 'former', 'dls', 'experiment']] | [-0.046428710514855746, 0.18018137836200343, -0.0816526073534545, 0.15484235206669247, 0.01026233605335693, -0.07403037641386224, 0.039096820866689086, 0.3545490007948231, -0.19311377383545167, -0.3221577007757701, -0.06462999699146461, -0.4266308485656171, 0.08799895009881742, 0.17599585007976842, 0.08185349122996323, 0.05659585386338468, 0.08409341959584807, 0.08142033870633994, -0.027871617386620993, -0.1316145825847933, 0.28375120249551694, 0.1423665707918337, 0.26612456180658695, 0.15056456838155519, 0.034318499130234624, 0.02019337555582358, -0.028193187397256545, -0.02578016141479885, -0.12083548294833384, 0.08447199909376749, 0.23841156795419552, 0.06346314842183445, 0.10769817439172216, -0.301053048187011, -0.17066563935195272, 0.16839611437486335, 0.1482962402074623, 0.03906532223462253, -0.07671123951975559, -0.2544496843301867, 0.09695297426770667, -0.20185248022647323, -0.08913815421574572, 0.04195283928483322, 0.00030835273650449673, 0.005849469025191423, -0.2964214828916246, 0.12787327347197444, -0.05976019998087321, 0.06382111667315601, -0.023569208793216258, -0.21940712854769584, -0.05180304423226295, 0.03207364414717902, 0.09491347084514092, 0.1012189655464042, 0.1756402802578098, -0.16703106380363525, -0.1418130843069505, 0.39176598702230164, -0.06404011901503436, -0.08035231711707909, 0.16899670073384973, -0.24351396643858705, -0.1293360991120288, 0.2531367288398984, 0.16318937802645597, 0.06230484489729074, -0.21119853913330952, 0.03744103531101467, -0.032266264133205685, 0.1976651673337344, 0.12427371509398359, 0.0976795362350114, 0.1774325292129573, 0.19424035369789833, -0.04963645091078974, 0.11316851612237105, -0.14847017129933512, -0.09086824485377686, -0.35394218566550595, -0.0610572421243666, -0.10786454265031058, 0.0523802548193851, -0.04651467685864584, -0.05271400811978163, 0.3280543179339352, 0.06454612541239003, 0.29234751324465097, 0.01682102360536118, 0.3011365900747478, 0.12120038113632314, 0.10162588039639632, 0.08342874332683513, 0.36095032178973024, 0.10963439838205641, 0.1836132899782545, -0.21022494182594725, 0.05418161397195748, -0.05014481209218502] |
711.4282 | Experimentally friendly geometrical criteria for entanglement | We present an intuitive geometrical entanglement criterion. It allows
formulation of simple and experimentally friendly sufficient conditions for
entanglement. The conditions are illustrated with several examples. Moreover, a
generalization of our approach is a necessary and sufficient separability
condition. It can be associated with a family of entanglement identifiers,
which is strictly richer than the family of entanglement witnesses.
| quant-ph | we present an intuitive geometrical entanglement criterion it allows formulation of simple and experimentally friendly sufficient conditions for entanglement the conditions are illustrated with several examples moreover a generalization of our approach is a necessary and sufficient separability condition it can be associated with a family of entanglement identifiers which is strictly richer than the family of entanglement witnesses | [['we', 'present', 'an', 'intuitive', 'geometrical', 'entanglement', 'criterion', 'it', 'allows', 'formulation', 'of', 'simple', 'and', 'experimentally', 'friendly', 'sufficient', 'conditions', 'for', 'entanglement', 'the', 'conditions', 'are', 'illustrated', 'with', 'several', 'examples', 'moreover', 'a', 'generalization', 'of', 'our', 'approach', 'is', 'a', 'necessary', 'and', 'sufficient', 'separability', 'condition', 'it', 'can', 'be', 'associated', 'with', 'a', 'family', 'of', 'entanglement', 'identifiers', 'which', 'is', 'strictly', 'richer', 'than', 'the', 'family', 'of', 'entanglement', 'witnesses']] | [-0.11654695072921656, 0.12125412558853603, -0.12904666365771475, 0.11460967183160453, -0.10201329746583508, -0.25362487204404455, -0.0003931766170692646, 0.3796159743126166, -0.19323789268353228, -0.269129644668961, 0.11308167192106278, -0.20238518860547258, -0.20803963841270592, 0.22613333479375025, -0.08592421992413574, 0.10530962646638943, 0.07022382610998416, 0.07314989692136897, -0.08474705919181391, -0.2621990636196303, 0.33267577786503705, 0.05739353185172303, 0.28686468311096147, 0.1331279195482069, 0.11071188818903589, -0.0737187498549031, 0.039380684936955825, 0.07078675971508532, -0.19038567681781063, 0.12947134900901278, 0.20688780922821517, 0.22602400688801783, 0.2811517015225806, -0.343953484700898, -0.16944878036945554, 0.14591550720082122, 0.07796057560717908, 0.16203737323235531, -0.022177901829324536, -0.3110103281372685, 0.045067853988858604, -0.18845135424980672, -0.15749225059871452, -0.18867297719974638, -0.004538904528244067, -0.07355330313034987, -0.3587341594462425, 0.08079633668412343, 0.11159891054286795, 0.10038552660681505, -0.018804309452623444, 0.01662438741679919, -0.0439032562574277, 0.044103500456943855, -0.08142909591512407, -0.07428727251619606, 0.05128981581873308, -0.05891307736983744, -0.09360067614243697, 0.3602519482117683, 0.04788971277446115, -0.27528502894723317, 0.24807298110040316, -0.046314759937635924, -0.1046202619938906, 0.09905758477210747, 0.073409842927072, 0.18051112556861618, -0.1988465567671899, 0.004019792505413673, -0.11287465185653102, 0.1300861335406869, 0.06267608564062896, 0.15599644064145574, 0.16175129555039486, 0.09893431238261825, 0.1566495926324594, 0.27932617742118376, 0.02726359014947883, -0.09440744541964288, -0.3851960846301863, -0.22179356705144807, -0.211621841305267, 0.04728823232906476, -0.12029384365413827, -0.1207131396789672, 0.43451349036294523, 0.1302576427095396, 0.14008931474665465, 0.08797646574557648, 0.24435994881442039, 0.10343832715998515, 0.06363444759557813, 0.057614272349845556, 0.1530969773371846, 0.14925385151310996, 0.03135875467274148, -0.18302514300073924, 0.11210870916434264, 0.06783385390131655] |
711.4283 | Thermodynamics and Dynamics of a Monoatomic Glass-Former. Constant
Pressure and Constant Volume Behavior | We report constant-volume and constant-pressure simulations of the
thermodynamic and dynamic properties of the low-temperature liquid and
crystalline phases of the modified Stillinger-Weber (mSW) model. We have found
an approximately linear increase of the effective Gaussian width of the
distribution of inherent structures. This effect comes from non-Gaussianity of
the landscape and is consistent with the predictions of the Gaussian
excitations model representing the thermodynamics of the configurational
manifold as an ensemble of excitations, each carrying an excitation entropy.
The mSW model provides us with both the configurational and excess entropies,
with the difference mostly attributed to vibrational anharmonicity. We
therefore can address the distinction between the excess thermodynamic
quantities often used in the Adam-Gibbs (AG) equation. We find a new break in
the slope of the constant pressure AG plot when the excess entropy is used in
the AG equation. The simulation diffusivity data are equally well fitted by
applying a new equation, derived within the Gaussian excitations model, that
emphasizes enthalpy over entropy as the thermodynamic control variable for
transport in viscous liquids.
| cond-mat.soft cond-mat.stat-mech | we report constantvolume and constantpressure simulations of the thermodynamic and dynamic properties of the lowtemperature liquid and crystalline phases of the modified stillingerweber msw model we have found an approximately linear increase of the effective gaussian width of the distribution of inherent structures this effect comes from nongaussianity of the landscape and is consistent with the predictions of the gaussian excitations model representing the thermodynamics of the configurational manifold as an ensemble of excitations each carrying an excitation entropy the msw model provides us with both the configurational and excess entropies with the difference mostly attributed to vibrational anharmonicity we therefore can address the distinction between the excess thermodynamic quantities often used in the adamgibbs ag equation we find a new break in the slope of the constant pressure ag plot when the excess entropy is used in the ag equation the simulation diffusivity data are equally well fitted by applying a new equation derived within the gaussian excitations model that emphasizes enthalpy over entropy as the thermodynamic control variable for transport in viscous liquids | [['we', 'report', 'constantvolume', 'and', 'constantpressure', 'simulations', 'of', 'the', 'thermodynamic', 'and', 'dynamic', 'properties', 'of', 'the', 'lowtemperature', 'liquid', 'and', 'crystalline', 'phases', 'of', 'the', 'modified', 'stillingerweber', 'msw', 'model', 'we', 'have', 'found', 'an', 'approximately', 'linear', 'increase', 'of', 'the', 'effective', 'gaussian', 'width', 'of', 'the', 'distribution', 'of', 'inherent', 'structures', 'this', 'effect', 'comes', 'from', 'nongaussianity', 'of', 'the', 'landscape', 'and', 'is', 'consistent', 'with', 'the', 'predictions', 'of', 'the', 'gaussian', 'excitations', 'model', 'representing', 'the', 'thermodynamics', 'of', 'the', 'configurational', 'manifold', 'as', 'an', 'ensemble', 'of', 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711.4284 | Integral Coefficients for One-Loop Amplitudes | We present a set of algebraic functions for evaluating the coefficients of
the scalar integral basis of a general one-loop amplitude. The functions are
derived from unitarity cuts, but the complete cut-integral procedure has been
carried out in generality so that it never needs to be repeated. Where the
master integrals are known explicitly, the results here can be used as a black
box with tree-level amplitudes as input and one-loop amplitudes as output.
| hep-ph hep-th | we present a set of algebraic functions for evaluating the coefficients of the scalar integral basis of a general oneloop amplitude the functions are derived from unitarity cuts but the complete cutintegral procedure has been carried out in generality so that it never needs to be repeated where the master integrals are known explicitly the results here can be used as a black box with treelevel amplitudes as input and oneloop amplitudes as output | [['we', 'present', 'a', 'set', 'of', 'algebraic', 'functions', 'for', 'evaluating', 'the', 'coefficients', 'of', 'the', 'scalar', 'integral', 'basis', 'of', 'a', 'general', 'oneloop', 'amplitude', 'the', 'functions', 'are', 'derived', 'from', 'unitarity', 'cuts', 'but', 'the', 'complete', 'cutintegral', 'procedure', 'has', 'been', 'carried', 'out', 'in', 'generality', 'so', 'that', 'it', 'never', 'needs', 'to', 'be', 'repeated', 'where', 'the', 'master', 'integrals', 'are', 'known', 'explicitly', 'the', 'results', 'here', 'can', 'be', 'used', 'as', 'a', 'black', 'box', 'with', 'treelevel', 'amplitudes', 'as', 'input', 'and', 'oneloop', 'amplitudes', 'as', 'output']] | [-0.0887138052773343, 0.10911838719876457, -0.13129507405810978, 0.12954672844123657, -0.09309217434580604, -0.09562380806453628, 0.06370289238131516, 0.35076022740096263, -0.21323814870764132, -0.24734682344818767, 0.11949840878066288, -0.24497391977538802, -0.17993047658660233, 0.21509706478387322, 0.01307570530509908, 0.130250508858733, 0.0712157928174336, 0.062002438413974355, -0.08242722040310196, -0.29047056953486516, 0.32297263970624096, 0.024465885421592896, 0.17499676041228518, 0.04655450028175973, 0.098664429429472, 0.026876469839632204, -0.04622358138583703, 0.03586786324541046, -0.07390925598584756, 0.04448936538203071, 0.2744786698524266, 0.135587168918055, 0.18915307131430056, -0.42316629579418324, -0.1733328069062674, 0.0944907754190802, 0.19746385667830296, 0.15793507053095796, 0.029072313773611635, -0.2403286894024286, 0.06883754588867703, -0.18640679793355808, -0.13671000396883856, -0.14970582694274515, 0.024811399890084383, -0.027581752890287196, -0.30536333121971726, 0.03404168969288162, -0.02761245939931641, 0.023499931310852096, 0.014235700955869604, -0.14605633301137347, -0.07247575824723056, 0.15592706574713938, 0.04587088113216913, 0.057192824385447864, 0.10592195165841138, -0.1374333513875122, -0.12744100556680169, 0.3709752080668631, -0.04195423029548144, -0.27194562757209145, 0.09772081571401492, -0.16939800715054806, -0.12596047876326188, 0.13529941417222638, 0.12928177393360496, 0.1420797923681875, -0.22455082032574367, 0.1672340319994263, -0.02937107699068442, 0.12195007513238959, 0.12450417723149469, 0.04058432641952643, 0.1970226855642379, 0.060988419127892955, -0.02534474186242035, 0.17643350665776492, -0.02660113047730267, -0.07641661491034527, -0.40504358581280053, -0.09584690831371978, -0.14808709463997655, 0.07038506603965612, -0.07830292750640346, -0.18383019316737373, 0.3664984481587802, 0.10522106955185125, 0.1860242138348826, 0.09156751109618846, 0.3033682676159764, 0.22939429168724168, 0.1358605051119748, 0.0453252980281433, 0.2598296262272825, 0.1280313796197919, 0.05075402200630266, -0.1743097633908005, 0.015872770225093383, 0.12608592781199984] |
711.4285 | Non-linear dynamics and two-dimensional solitons for spin $ S=1$
ferromagnets with biquadratic exchange | We develop a consistent semiclassical theory of spin dynamics for an
isotropic ferromagnet with a spin $ S=1$ taking into consideration both
bilinear and biquadratic over spin operators exchange interaction. For such
non-Heisenberg magnets, a peculiar class of spin oscillations and waves, for
which the quantum spin expectation value $ {\rm {\bf m}}=<{\rm {\bf S}}>$ does
not change it direction, but changes in length, is presented. Such
``longitudinal'' excitations do not exist in regular magnets, dynamics of which
are described in terms of the Landau-Lifshitz equation or by means of the spin
Heisenberg Hamiltonian. We demonstrate the presence of non-linear uniform
oscillations and waves, as well as self-localized dynamical excitations
(solitons) with finite energy. A possibility of excitation of such oscillations
by ultrafast laser pulse is discussed.
| cond-mat.other | we develop a consistent semiclassical theory of spin dynamics for an isotropic ferromagnet with a spin s1 taking into consideration both bilinear and biquadratic over spin operators exchange interaction for such nonheisenberg magnets a peculiar class of spin oscillations and waves for which the quantum spin expectation value rm bf mrm bf s does not change it direction but changes in length is presented such longitudinal excitations do not exist in regular magnets dynamics of which are described in terms of the landaulifshitz equation or by means of the spin heisenberg hamiltonian we demonstrate the presence of nonlinear uniform oscillations and waves as well as selflocalized dynamical excitations solitons with finite energy a possibility of excitation of such oscillations by ultrafast laser pulse is discussed | [['we', 'develop', 'a', 'consistent', 'semiclassical', 'theory', 'of', 'spin', 'dynamics', 'for', 'an', 'isotropic', 'ferromagnet', 'with', 'a', 'spin', 's1', 'taking', 'into', 'consideration', 'both', 'bilinear', 'and', 'biquadratic', 'over', 'spin', 'operators', 'exchange', 'interaction', 'for', 'such', 'nonheisenberg', 'magnets', 'a', 'peculiar', 'class', 'of', 'spin', 'oscillations', 'and', 'waves', 'for', 'which', 'the', 'quantum', 'spin', 'expectation', 'value', 'rm', 'bf', 'mrm', 'bf', 's', 'does', 'not', 'change', 'it', 'direction', 'but', 'changes', 'in', 'length', 'is', 'presented', 'such', 'longitudinal', 'excitations', 'do', 'not', 'exist', 'in', 'regular', 'magnets', 'dynamics', 'of', 'which', 'are', 'described', 'in', 'terms', 'of', 'the', 'landaulifshitz', 'equation', 'or', 'by', 'means', 'of', 'the', 'spin', 'heisenberg', 'hamiltonian', 'we', 'demonstrate', 'the', 'presence', 'of', 'nonlinear', 'uniform', 'oscillations', 'and', 'waves', 'as', 'well', 'as', 'selflocalized', 'dynamical', 'excitations', 'solitons', 'with', 'finite', 'energy', 'a', 'possibility', 'of', 'excitation', 'of', 'such', 'oscillations', 'by', 'ultrafast', 'laser', 'pulse', 'is', 'discussed']] | [-0.21515727824834174, 0.24925893307209482, -0.00979006003588438, 0.06539213952049613, -0.08101029852218926, -0.11168268894869834, -0.041566104044206444, 0.3661130957007408, -0.2625374988401309, -0.23533618083409966, 0.04773506101313978, -0.2796940630523022, -0.09038339147903025, 0.21293634553113952, 0.0743157703652978, 0.009955958575010299, -0.011925548983737827, 0.026224268645048142, -0.09099157838895917, -0.13644218315929174, 0.2511493523027748, -0.01392441151686944, 0.2582263963893056, 0.04654236888885498, 0.13673580091446638, 0.07516746977157891, 0.11288813967630267, 0.015499871104955673, -0.1350527362128487, 0.013942124206165318, 0.24108094052644446, -0.04106427504122257, 0.1683054706528783, -0.46194171292334796, -0.2543110393881798, 0.07344669314101339, 0.1728055763915181, 0.17035232076607645, -0.025404865134507418, -0.3047798360288143, 0.0037274005003273486, -0.19858340140618383, -0.16008080350235104, -0.12359887004643678, 0.04302019767649472, 0.051260866440832616, -0.2668267109654844, 0.14529702195525168, 0.15157333430997097, 0.07473003305494785, -0.07435937625542283, -0.07496470016986131, -0.06738276675529778, 0.00565273211710155, 0.0571973029486835, 0.05527418070891872, 0.11346216963231563, -0.1114607016518712, -0.1453127146475017, 0.36807608157396315, -0.1053938734587282, -0.20430294308066368, 0.11881068647839128, -0.16785359139181674, -0.06440275920275598, 0.1198607716858387, 0.12515477442648262, 0.10745253206789493, -0.11206354947388172, 0.10600740235164995, -0.0046187820285558704, 0.1599800606369972, 0.02344433339126408, 0.09797259102761745, 0.26243075317982584, 0.128894824039191, 0.052304337853565815, 0.08410476192086935, -0.06701398134976626, -0.12704432989284395, -0.28693618708103896, -0.12591552270948886, -0.21230898371711374, 0.13235809616022742, -0.04309851747623179, -0.1791649414971471, 0.4357043947055936, 0.10408274352253648, 0.1400749592781067, -0.028185241809114813, 0.20975836338847875, 0.1501717400085181, 0.05135490513965488, 0.07584666214138269, 0.23450051445513964, 0.19518210413865744, 0.07516535529028624, -0.29998330954043195, -0.006745395284146071, 0.04430227323435247] |
711.4286 | Quantum state discrimination: a geometric approach | We analyse the problem of finding sets of quantum states that can be
deterministically discriminated. From a geometric point of view this problem is
equivalent to that of embedding a simplex of points whose distances are maximal
with respect to the Bures distance (or trace distance). We derive upper and
lower bounds for the trace distance and for the fidelity between two quantum
states, which imply bounds for the Bures distance between the unitary orbits of
both states. We thus show that when analysing minimal and maximal distances
between states of fixed spectra it is sufficient to consider diagonal states
only. Hence considering optimal discrimination, given freedom up to unitary
orbits, it is sufficient to consider diagonal states. This is illustrated
geometrically in terms of Weyl chambers.
| quant-ph | we analyse the problem of finding sets of quantum states that can be deterministically discriminated from a geometric point of view this problem is equivalent to that of embedding a simplex of points whose distances are maximal with respect to the bures distance or trace distance we derive upper and lower bounds for the trace distance and for the fidelity between two quantum states which imply bounds for the bures distance between the unitary orbits of both states we thus show that when analysing minimal and maximal distances between states of fixed spectra it is sufficient to consider diagonal states only hence considering optimal discrimination given freedom up to unitary orbits it is sufficient to consider diagonal states this is illustrated geometrically in terms of weyl chambers | [['we', 'analyse', 'the', 'problem', 'of', 'finding', 'sets', 'of', 'quantum', 'states', 'that', 'can', 'be', 'deterministically', 'discriminated', 'from', 'a', 'geometric', 'point', 'of', 'view', 'this', 'problem', 'is', 'equivalent', 'to', 'that', 'of', 'embedding', 'a', 'simplex', 'of', 'points', 'whose', 'distances', 'are', 'maximal', 'with', 'respect', 'to', 'the', 'bures', 'distance', 'or', 'trace', 'distance', 'we', 'derive', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'trace', 'distance', 'and', 'for', 'the', 'fidelity', 'between', 'two', 'quantum', 'states', 'which', 'imply', 'bounds', 'for', 'the', 'bures', 'distance', 'between', 'the', 'unitary', 'orbits', 'of', 'both', 'states', 'we', 'thus', 'show', 'that', 'when', 'analysing', 'minimal', 'and', 'maximal', 'distances', 'between', 'states', 'of', 'fixed', 'spectra', 'it', 'is', 'sufficient', 'to', 'consider', 'diagonal', 'states', 'only', 'hence', 'considering', 'optimal', 'discrimination', 'given', 'freedom', 'up', 'to', 'unitary', 'orbits', 'it', 'is', 'sufficient', 'to', 'consider', 'diagonal', 'states', 'this', 'is', 'illustrated', 'geometrically', 'in', 'terms', 'of', 'weyl', 'chambers']] | [-0.14090982864163523, 0.1624567032733008, -0.08389783311107261, 0.06888017898579459, 0.007240923457067665, -0.17497641264688313, 0.09223967104486563, 0.3484313503809743, -0.29296370912306596, -0.27190325395103293, 0.09712866474745986, -0.28819783702199386, -0.09522580249257034, 0.1910019115669521, -0.07267505484156486, 0.05371789021168168, 0.0726818150261373, 0.07057230897783119, -0.1433647320748813, -0.2353989023781257, 0.3485589314281471, 0.022914361866836354, 0.23797702928638365, 0.0547555949232783, 0.11542065193377964, -0.021992969392674176, 0.02337607645290339, 0.015789150223722608, -0.12533454969794605, 0.15209490057781308, 0.2460742852481918, 0.14607000217487023, 0.18206669795730218, -0.3734572543579293, -0.155012946957209, 0.1916819624236132, 0.10307716515545887, 0.10658337325719368, 0.02343043483661737, -0.30651911488169525, 0.10113661427153495, -0.10328491778464943, -0.15264943701501085, -0.050894077108278285, 0.06638681088156236, -0.031144672154089597, -0.26970326923948573, 0.07889688490178641, 0.055995063335583434, 0.04179465075323219, -0.028046083403751254, -0.08105134153665286, -0.015558770822918438, 0.15840159356342004, -0.004119342777834047, -0.0026895757397915436, 0.0732960655962623, -0.08203418390444062, -0.1271130167402503, 0.34651206515905425, -0.03947541695161481, -0.23146208913952815, 0.18318863205362376, -0.13775464137612775, -0.04942110379585835, 0.05756729660834384, 0.14891742824716128, 0.13008821480284175, -0.14817668234906067, 0.10456857904214338, -0.07188978585905915, 0.12280622192252405, 0.10455109416983846, 0.11499096969817216, 0.19362544104471568, 0.030191250033603293, 0.1964253427187626, 0.1877542730396995, -0.06407126623451505, -0.12547679185522648, -0.34508698545103, -0.17849986707630355, -0.23212146239105877, 0.07931980094689084, -0.10807797173370413, -0.16961893138813045, 0.37998316857934467, 0.09933464735376055, 0.2557041670569754, 0.08928224087048159, 0.22340584514061296, 0.10802022447189917, 0.024162130045345214, 0.12584090925474453, 0.23820152518332122, 0.17760585702398396, -0.0830653314112033, -0.21974383525396368, 0.04948165411987584, 0.10579640537823044] |
711.4287 | Unipotent classes and special Weyl group representations | We show that various invariants of a unipotent conjugacy class in a connected
semisimple group can be recovered purely in terms of data involving the Weyl
group.
| math.RT | we show that various invariants of a unipotent conjugacy class in a connected semisimple group can be recovered purely in terms of data involving the weyl group | [['we', 'show', 'that', 'various', 'invariants', 'of', 'a', 'unipotent', 'conjugacy', 'class', 'in', 'a', 'connected', 'semisimple', 'group', 'can', 'be', 'recovered', 'purely', 'in', 'terms', 'of', 'data', 'involving', 'the', 'weyl', 'group']] | [-0.2952801773531569, 0.09909707994234783, -0.11303557941897048, -0.002164489417164414, -0.1435628850702886, -0.12093753985094803, -0.004998237480995832, 0.2990736670240208, -0.3788544154829449, -0.2281508078729665, 0.11910695351522278, -0.23201376999969836, -0.17799518878261247, 0.2543291477141557, -0.14553092040673452, -0.067397162193191, 0.08272362817768697, 0.14795117135401126, -0.14748422717848034, -0.235397230764782, 0.42730309234725106, -0.1572155627525515, 0.2377911912691262, 0.006684991634554333, 0.029845393163634947, -0.030252008716127387, -0.021947428653085674, 0.08734999700552887, -0.009278243072643548, 0.09997223524583711, 0.38133744633308164, -0.002468939062156197, 0.16496308686004746, -0.4065956006999369, -0.18187442339128918, 0.2421893453984349, 0.18833261194500933, 0.024299526656115497, -0.07891654883752819, -0.3439190647806282, 0.1118823197428827, -0.2556075184709496, -0.1356013977072305, -0.10426343453151209, 0.009788508630461164, -0.03371094112043028, -0.2110478742807, 0.0588617422790439, 0.012773841964425865, 0.12066290413753854, -0.04356961104053038, -0.053026368738048606, -0.07421774860833669, 0.1548823780828604, -0.017889896683670855, -0.02653658909171268, 0.11767986804867785, -0.11345615682916509, -0.13592879860489457, 0.48435904642705013, -0.11190219354574327, -0.23405095672717802, 0.16123059933522232, -0.19423653544099242, -0.2322304750689202, 0.10080185113474727, 0.16775771968618589, 0.16482725256571062, -0.08087448720578794, 0.1568274887761584, -0.1791949788177455, 0.013042593047160793, 0.0006724080691734949, -0.02076141092995251, 0.10362413667004418, 0.038790454139450085, 0.013742082459093244, 0.12418966557123456, 0.0825103195729079, 0.06151294304678837, -0.3748720827753897, -0.2127945721839313, -0.15833305332947661, 0.12003256932452873, -0.13088770503937094, -0.15416788213230945, 0.4928911525618147, 0.0722063899178196, 0.16013491650422415, 0.13180614540491392, 0.12517679620672156, 0.06407324624834237, 0.13213696855085869, 0.08066302581034877, 0.13015627954155207, 0.21465479251411226, -0.15888673153326469, -0.18667878545130845, -0.030682529667737306, 0.21653991697908] |
711.4288 | Linear and non-Linear Instabilities in Unified Dark Energy Models | We revisit the paradigm of unified dark energy discussing in detail the
averaging problem in this type of scenarios, highlighting the need for a full
non-linear treatment. We also address the question of if and how models with
one or several dark fluids can be observationally distinguished. Simpler and
physically clearer derivations of some key results, most notably on the
relation between the generalized Chaplygin gas and the standard ($\Lambda$CDM)
`concordance' model and on a Jeans-type small-scale instability of some coupled
dark energy/dark matter models are presented.
| astro-ph | we revisit the paradigm of unified dark energy discussing in detail the averaging problem in this type of scenarios highlighting the need for a full nonlinear treatment we also address the question of if and how models with one or several dark fluids can be observationally distinguished simpler and physically clearer derivations of some key results most notably on the relation between the generalized chaplygin gas and the standard lambdacdm concordance model and on a jeanstype smallscale instability of some coupled dark energydark matter models are presented | [['we', 'revisit', 'the', 'paradigm', 'of', 'unified', 'dark', 'energy', 'discussing', 'in', 'detail', 'the', 'averaging', 'problem', 'in', 'this', 'type', 'of', 'scenarios', 'highlighting', 'the', 'need', 'for', 'a', 'full', 'nonlinear', 'treatment', 'we', 'also', 'address', 'the', 'question', 'of', 'if', 'and', 'how', 'models', 'with', 'one', 'or', 'several', 'dark', 'fluids', 'can', 'be', 'observationally', 'distinguished', 'simpler', 'and', 'physically', 'clearer', 'derivations', 'of', 'some', 'key', 'results', 'most', 'notably', 'on', 'the', 'relation', 'between', 'the', 'generalized', 'chaplygin', 'gas', 'and', 'the', 'standard', 'lambdacdm', 'concordance', 'model', 'and', 'on', 'a', 'jeanstype', 'smallscale', 'instability', 'of', 'some', 'coupled', 'dark', 'energydark', 'matter', 'models', 'are', 'presented']] | [-0.093976758041114, 0.09108412510651195, -0.10133389602468788, 0.16027585432152852, -0.1116598672822289, -0.17742432500824504, -0.023907610514982677, 0.29582944445997134, -0.2552934700004949, -0.3192607051767837, 0.06699385755459895, -0.21801864502459078, -0.1188154078554362, 0.2134597285158247, -0.03425795315154668, 0.012567416522598386, 0.011114969153770771, -0.022217437400129336, -0.05161770454597199, -0.2676845135317109, 0.3647359307031094, 0.06173744182043506, 0.21457762771082678, 0.03418562042088002, 0.06308683158894038, -0.08268796336494558, -0.0719687307478282, 0.014266099288374528, -0.21725045025466416, 0.08370717345795797, 0.20151891656082468, 0.1406979477043055, 0.248069684296825, -0.44653518452983476, -0.2737130555591878, 0.15780095767829266, 0.14970210276479864, 0.11491528856193368, -0.0651242139711762, -0.2814883752083727, 0.027222895973372734, -0.21091339958767438, -0.11181436275699358, -0.045209291107395945, -0.050115184355313064, -0.010787450361210081, -0.18567540850383282, 0.15807585709095376, 0.05961872632989938, -0.027068571091212076, -0.10243877709907448, -0.08346155851319347, 0.01641846214817173, 0.014020703136171589, 0.07143788286832686, -0.04294021136994506, 0.10567823273996854, -0.2173608819948745, -0.08147207776287935, 0.4532375268466856, -0.07466608556736817, -0.222958018690155, 0.22301870243404404, -0.09357433967377948, -0.1592382579913427, 0.016214585338515795, 0.10265474133835785, 0.057225842365390224, -0.15071177326815857, 0.096338713592475, -0.07670718293915364, 0.1437581670336725, 0.041183927711955774, 0.006382558066612002, 0.306468004435729, 0.17914974487161842, -0.001055959778056405, 0.0823028140832488, -0.030487972215331834, -0.12919560231097127, -0.34222984677929985, -0.14934908870564795, -0.08150717635349981, 0.007841811139382765, -0.1028000213488155, -0.1113053788270416, 0.41310293235998047, 0.16920929524148332, 0.18349069460487827, 0.03561856283474414, 0.3264446911755307, 0.07574489337509904, -0.014203870214050871, 0.04453111961269858, 0.2639754822875116, 0.14752265609715176, 0.06395961066986296, -0.18671582489349375, 0.006773773029489422, 0.029562267014521294] |
711.4289 | The role of density stratification in generating zonal flow structures
in a rotating fluid | Local generation of vorticity occurs in rotating density-stratified fluids as
fluid parcels move radially, expanding or contracting with respect to the
background density stratification. Thermal convection in rotating 2D equatorial
simulations demonstrates this mechanism. The convergence of the vorticity into
zonal flow structures as a function of radius depends on the shape of the
density profile, with the prograde jet forming in the region of the disk where
the greatest number of density scale heights occurs. The number of stable jets
that form in the fluid increases with decreasing Ekman number and decreases
with increasing thermal driving. This local form of vorticity generation via
the density stratification is likely to be of great importance in bodies that
are quickly rotating, highly turbulent, and have large density changes, such as
Jovian planets. However, it is likely to be of lesser importance in the
interiors of planets such as the Earth, which have smaller density
stratifications and are less turbulent.
| astro-ph | local generation of vorticity occurs in rotating densitystratified fluids as fluid parcels move radially expanding or contracting with respect to the background density stratification thermal convection in rotating 2d equatorial simulations demonstrates this mechanism the convergence of the vorticity into zonal flow structures as a function of radius depends on the shape of the density profile with the prograde jet forming in the region of the disk where the greatest number of density scale heights occurs the number of stable jets that form in the fluid increases with decreasing ekman number and decreases with increasing thermal driving this local form of vorticity generation via the density stratification is likely to be of great importance in bodies that are quickly rotating highly turbulent and have large density changes such as jovian planets however it is likely to be of lesser importance in the interiors of planets such as the earth which have smaller density stratifications and are less turbulent | [['local', 'generation', 'of', 'vorticity', 'occurs', 'in', 'rotating', 'densitystratified', 'fluids', 'as', 'fluid', 'parcels', 'move', 'radially', 'expanding', 'or', 'contracting', 'with', 'respect', 'to', 'the', 'background', 'density', 'stratification', 'thermal', 'convection', 'in', 'rotating', '2d', 'equatorial', 'simulations', 'demonstrates', 'this', 'mechanism', 'the', 'convergence', 'of', 'the', 'vorticity', 'into', 'zonal', 'flow', 'structures', 'as', 'a', 'function', 'of', 'radius', 'depends', 'on', 'the', 'shape', 'of', 'the', 'density', 'profile', 'with', 'the', 'prograde', 'jet', 'forming', 'in', 'the', 'region', 'of', 'the', 'disk', 'where', 'the', 'greatest', 'number', 'of', 'density', 'scale', 'heights', 'occurs', 'the', 'number', 'of', 'stable', 'jets', 'that', 'form', 'in', 'the', 'fluid', 'increases', 'with', 'decreasing', 'ekman', 'number', 'and', 'decreases', 'with', 'increasing', 'thermal', 'driving', 'this', 'local', 'form', 'of', 'vorticity', 'generation', 'via', 'the', 'density', 'stratification', 'is', 'likely', 'to', 'be', 'of', 'great', 'importance', 'in', 'bodies', 'that', 'are', 'quickly', 'rotating', 'highly', 'turbulent', 'and', 'have', 'large', 'density', 'changes', 'such', 'as', 'jovian', 'planets', 'however', 'it', 'is', 'likely', 'to', 'be', 'of', 'lesser', 'importance', 'in', 'the', 'interiors', 'of', 'planets', 'such', 'as', 'the', 'earth', 'which', 'have', 'smaller', 'density', 'stratifications', 'and', 'are', 'less', 'turbulent']] | [-0.14774620547430897, 0.24114046901865285, -0.05574814816111628, 0.025657904204688494, -0.041425078391109274, -0.022887728938868247, -0.04856457699037192, 0.30284109068562903, -0.26523520066579687, -0.30511353618378423, 0.07017532663340267, -0.24813448813378433, -0.07412555719920304, 0.16625474096140294, -0.028376251714240724, 0.019830966067700823, 0.027232186039143444, -0.014831895662966785, -0.0225807635424529, -0.18115932272918098, 0.3165701017597148, 0.09126948673573552, 0.22110520616981283, 0.006290096017425951, 0.015287914779037237, -0.11762739231380692, -0.005634915635145941, 0.0662944650047612, -0.14279945868502528, 0.058250711467148386, 0.18747519831691833, 0.08589900357801986, 0.2765691075771509, -0.47260061372071505, -0.2577866251466949, 0.06839301543386912, 0.18127968833675678, 0.07837811953292738, -0.0553272058546272, -0.200103029773771, 0.09321344097563407, -0.189547286256912, -0.18021068654812966, -0.019259377039344158, 0.0919292610775255, 0.09274935533360378, -0.24776999961254717, 0.1533556787895416, 0.06538708621188055, 0.08418260247717742, -0.08963005919203963, -0.08820217765301844, -0.15581389264309708, 0.09391370818057228, 0.12825357596554993, 0.07623939452209522, 0.23019821475233435, -0.19583508025418636, 0.050332063897453906, 0.4152195848571726, -0.09607427808326445, -0.2009171202301366, 0.2279265293220789, -0.2331458165227801, -0.055312559934947464, 0.19861566383816018, 0.20269439379460638, 0.131445524197284, -0.011902815896628683, 0.004165999165845186, -0.061691182401013574, 0.12103014164368468, 0.12316067572800984, -0.0001926986630298669, 0.323923243504442, 0.17120380149682676, 0.11806866444376167, 0.1202571495845796, -0.16059640176517628, -0.12781857163055882, -0.23572254835191783, -0.1537923868450843, -0.1588980682235494, 0.015911062283417845, -0.11705225083913987, -0.21632427999429638, 0.3338635952500744, 0.11467118117710741, 0.21131170186791806, -0.009696360137402021, 0.3311032405288159, 0.10489600712633869, 0.07923610357028327, 0.1610228570496451, 0.278973846218867, 0.18379056021789253, 0.1135639629527172, -0.23859234645526525, 0.09007206172800233, 0.03917559054002307] |
711.429 | More about QCD on compact spaces | We present some results about spontaneous breaking of global symmetries for
four-flavor, three color QCD on compact spaces with two short directions. When
the two short directions have equal length and identical boundary conditions,
there is a single transition. When the two short directions have boundary
conditions of opposite parity and are of roughly equal extent, the C-breaking
and deconfinement transitions separate. When the two short dimensions are of
different length, the transitions are modified in qualitative agreement with
expectations from dimensional reduction. These features resemble the situation
in pure gauge simulations at small and large number of colors.
| hep-lat | we present some results about spontaneous breaking of global symmetries for fourflavor three color qcd on compact spaces with two short directions when the two short directions have equal length and identical boundary conditions there is a single transition when the two short directions have boundary conditions of opposite parity and are of roughly equal extent the cbreaking and deconfinement transitions separate when the two short dimensions are of different length the transitions are modified in qualitative agreement with expectations from dimensional reduction these features resemble the situation in pure gauge simulations at small and large number of colors | [['we', 'present', 'some', 'results', 'about', 'spontaneous', 'breaking', 'of', 'global', 'symmetries', 'for', 'fourflavor', 'three', 'color', 'qcd', 'on', 'compact', 'spaces', 'with', 'two', 'short', 'directions', 'when', 'the', 'two', 'short', 'directions', 'have', 'equal', 'length', 'and', 'identical', 'boundary', 'conditions', 'there', 'is', 'a', 'single', 'transition', 'when', 'the', 'two', 'short', 'directions', 'have', 'boundary', 'conditions', 'of', 'opposite', 'parity', 'and', 'are', 'of', 'roughly', 'equal', 'extent', 'the', 'cbreaking', 'and', 'deconfinement', 'transitions', 'separate', 'when', 'the', 'two', 'short', 'dimensions', 'are', 'of', 'different', 'length', 'the', 'transitions', 'are', 'modified', 'in', 'qualitative', 'agreement', 'with', 'expectations', 'from', 'dimensional', 'reduction', 'these', 'features', 'resemble', 'the', 'situation', 'in', 'pure', 'gauge', 'simulations', 'at', 'small', 'and', 'large', 'number', 'of', 'colors']] | [-0.15077228381326704, 0.26217217865221276, -0.0435000911068096, 0.08060096231209246, -0.019590489307625428, -0.16540693674198906, -0.0352402031868508, 0.43575781762524685, -0.19743826805209422, -0.2735186752044793, 0.10715586030996885, -0.3010308647697622, -0.05978069311910958, 0.13180513875653047, -0.0021591819540569277, 0.01609055541168823, 0.037475831684364816, 0.043351983724425384, -0.11012701049089582, -0.25587375076355956, 0.34178791955263926, -0.07525532509228497, 0.30875593341999885, 0.04531338857016479, 0.030630265569521323, -0.03542212649916458, -0.012223001955208755, 0.038990202425706263, -0.137118873675589, 0.04213059910413141, 0.20367038619676323, 0.010191872824133948, 0.1935350283077269, -0.44643052511218223, -0.1723946804049039, 0.08437875757520699, 0.09084246231177164, 0.1318290869451382, -0.0068166808994261155, -0.24819122900189172, 0.09506707392971624, -0.08169134330907554, -0.12129070465053159, -0.022811095728868185, 0.03418341132746351, 0.019363494335927746, -0.23083077420979137, 0.07863309758367261, 0.03665412100728112, 0.10474063901023732, -0.0477568459358405, -0.1525592989937374, -0.014670532685939711, 0.14967027036890604, 0.12002006243453409, 0.02472140544301106, 0.03598664968622604, -0.1342791273936099, -0.1355818543780708, 0.38204505128992927, -0.04169465895069556, -0.1897388501986485, 0.25449589236329, -0.15972585358064284, -0.15970697683856042, 0.16874128815275852, 0.11238889870553682, 0.1063230921598998, -0.09318207415521046, 0.033065038359244216, -0.0499349637968334, 0.135877313534494, 0.11838407295690191, 0.08117596297035395, 0.2528948380301396, 0.11350199326430682, 0.04649364078567937, 0.1243322014766322, -0.05899928373136473, -0.14764279672920685, -0.38096655378438005, -0.07578919217639575, -0.12886807434684175, 0.0421562675631257, -0.14424185476893786, -0.09964311960143875, 0.3812799295880879, 0.12669357479340632, 0.23299961377198647, 0.04771771901428248, 0.25495210375561556, 0.08381104496580483, 0.0579589671558804, 0.04416996255197158, 0.21598337801094544, 0.09294170268453808, 0.06442053259333896, -0.22118555219383026, -0.015485720788928294, 0.0746010264036048] |
711.4291 | Absolute Continuity of the Integrated Density of States for the Almost
Mathieu Operator with Non-Critical Coupling | We show that the integrated density of states of the almost Mathieu operator
is absolutely continuous if and only if the coupling is non-critical. We deduce
for subcritical coupling that the spectrum is purely absolutely continuous for
almost every phase, settling the measure-theoretical case of Problem 6 of Barry
Simon's list of Schr\"odinger operator problems for the twenty-first century.
| math.DS math-ph math.MP math.SP | we show that the integrated density of states of the almost mathieu operator is absolutely continuous if and only if the coupling is noncritical we deduce for subcritical coupling that the spectrum is purely absolutely continuous for almost every phase settling the measuretheoretical case of problem 6 of barry simons list of schrodinger operator problems for the twentyfirst century | [['we', 'show', 'that', 'the', 'integrated', 'density', 'of', 'states', 'of', 'the', 'almost', 'mathieu', 'operator', 'is', 'absolutely', 'continuous', 'if', 'and', 'only', 'if', 'the', 'coupling', 'is', 'noncritical', 'we', 'deduce', 'for', 'subcritical', 'coupling', 'that', 'the', 'spectrum', 'is', 'purely', 'absolutely', 'continuous', 'for', 'almost', 'every', 'phase', 'settling', 'the', 'measuretheoretical', 'case', 'of', 'problem', '6', 'of', 'barry', 'simons', 'list', 'of', 'schrodinger', 'operator', 'problems', 'for', 'the', 'twentyfirst', 'century']] | [-0.1570680677196232, 0.16092625548382353, -0.0846556001106056, 0.048302339640509145, -0.042097234372365275, -0.14751845077311587, -0.011672033778375994, 0.33978264390538304, -0.2888975392995497, -0.17563057229933093, 0.15697587904978103, -0.32165289136691616, -0.1476672641869824, 0.19344431509153318, -0.033462849856054376, 0.06117963639356322, 0.05803553247035055, 0.06004167919568086, -0.033449312364209, -0.26006131290884343, 0.3702626959262889, -0.041174768927996444, 0.19022481981664896, 0.08315097799493094, 0.10965008957911346, 0.027404266831828124, 0.01899425457310626, -0.04815541172273836, -0.08898183686576855, 0.06621653787985096, 0.2311871922180309, 0.10576357297851878, 0.25934953836061186, -0.3352168261332998, -0.18682372102403413, 0.19638845060904653, 0.11418164216802787, 0.04341339667217206, -0.02523110497010856, -0.2465853097540784, 0.0660602431112932, -0.13679944654389964, -0.19467418596653616, -0.0357441909106101, 0.11966551129974551, -0.049108466022979406, -0.2802699188686023, 0.12578691368512177, 0.12597679725642932, 0.022792242656824953, -0.10944245310531835, -0.076319170066045, -0.08219118968788851, 0.11181165579453868, -0.007899839758588854, 0.03752481084024944, 0.0388812858648835, -0.10305493231073527, -0.115629611726282, 0.36926343446692167, -0.08528665519493112, -0.14583055387740418, 0.11811776812803948, -0.17964700165883465, -0.14463952392087145, 0.10659234934502233, 0.06730721122190608, 0.11852762876552041, -0.08909955646021891, 0.1937578557270295, -0.08330745028402908, 0.15883343212180218, 0.09158991019920272, -0.020541039390205327, 0.10699591990875995, 0.09978556423053397, 0.19130913016654677, 0.10560415187945306, 0.042512620373044985, -0.07358908466205506, -0.3389459031997091, -0.1549937732012595, -0.1910289430722468, 0.11246544541001825, -0.045332585382265415, -0.22825458017572509, 0.43305088635297273, 0.11140429009920207, 0.1279510809582169, 0.11347944454400469, 0.21436023382446334, 0.20871233217165633, -0.02198225318580487, 0.09475547317573327, 0.26592800257948496, 0.16509654328732168, 0.08890878728006855, -0.18048624184487735, -0.02297226042818215, 0.120215636397854] |
711.4292 | Influence of mass multipole moments on the deflection of a light ray by
an isolated axisymmetric body | Future space astrometry missions are planned to measure positions and/or
parallaxes of celestial objects with an accuracy of the order of the
microarcsecond. At such a level of accuracy, it will be indispensable to take
into account the influence of the mass multipole structure of the giant planets
on the bending of light rays. Within the parametrized post-Newtonian formalism,
we present an algorithmic procedure enabling to determine explicitly this
influence on a light ray connecting two points located at a finite distance.
Then we specialize our formulae in the cases where 1) the light source is
located at space infinity, 2) both the light source and the observer are
located at space infinity. We examine in detail the cases where the unperturbed
ray is in the equatorial plane or in a meridian plane.
| astro-ph gr-qc | future space astrometry missions are planned to measure positions andor parallaxes of celestial objects with an accuracy of the order of the microarcsecond at such a level of accuracy it will be indispensable to take into account the influence of the mass multipole structure of the giant planets on the bending of light rays within the parametrized postnewtonian formalism we present an algorithmic procedure enabling to determine explicitly this influence on a light ray connecting two points located at a finite distance then we specialize our formulae in the cases where 1 the light source is located at space infinity 2 both the light source and the observer are located at space infinity we examine in detail the cases where the unperturbed ray is in the equatorial plane or in a meridian plane | [['future', 'space', 'astrometry', 'missions', 'are', 'planned', 'to', 'measure', 'positions', 'andor', 'parallaxes', 'of', 'celestial', 'objects', 'with', 'an', 'accuracy', 'of', 'the', 'order', 'of', 'the', 'microarcsecond', 'at', 'such', 'a', 'level', 'of', 'accuracy', 'it', 'will', 'be', 'indispensable', 'to', 'take', 'into', 'account', 'the', 'influence', 'of', 'the', 'mass', 'multipole', 'structure', 'of', 'the', 'giant', 'planets', 'on', 'the', 'bending', 'of', 'light', 'rays', 'within', 'the', 'parametrized', 'postnewtonian', 'formalism', 'we', 'present', 'an', 'algorithmic', 'procedure', 'enabling', 'to', 'determine', 'explicitly', 'this', 'influence', 'on', 'a', 'light', 'ray', 'connecting', 'two', 'points', 'located', 'at', 'a', 'finite', 'distance', 'then', 'we', 'specialize', 'our', 'formulae', 'in', 'the', 'cases', 'where', '1', 'the', 'light', 'source', 'is', 'located', 'at', 'space', 'infinity', '2', 'both', 'the', 'light', 'source', 'and', 'the', 'observer', 'are', 'located', 'at', 'space', 'infinity', 'we', 'examine', 'in', 'detail', 'the', 'cases', 'where', 'the', 'unperturbed', 'ray', 'is', 'in', 'the', 'equatorial', 'plane', 'or', 'in', 'a', 'meridian', 'plane']] | [-0.1243434430877293, 0.11561800218394062, -0.08761684353554383, 0.0736386964449491, -0.07795496787735842, -0.05314078050336443, 0.04160424449859201, 0.38590936499990913, -0.232120110318975, -0.2970098383633658, 0.08062815144868161, -0.3195956440036766, -0.05346808175878473, 0.2134468379777093, -0.03530636459722051, -0.014483436644497447, 0.04629324614096615, 0.051043272147977485, -0.07966818343287796, -0.2376493910461913, 0.30584903436369804, 0.09540127373923708, 0.16472037109245258, 0.019299602202538933, 0.11511032049162523, -0.0020587639804383307, -0.030635625400573463, -0.011475041139761688, -0.12008922593996342, 0.09168354610481852, 0.24381365919051537, 0.10486577987264757, 0.21801920462210655, -0.387993600135459, -0.18327203289171526, 0.09847726441807765, 0.14591158632385104, 0.06917894387764759, 0.007837532341998434, -0.2982831927597579, 0.04333788575385732, -0.11474225398755275, -0.23551948353144012, 0.019878666973987918, 0.014905671242456463, 0.03527534430272373, -0.1952501254815335, -0.006353508996168026, 0.017688429046114135, 0.06954001757855478, -0.08110160617458921, -0.08972238221282798, -0.017557865546147963, 0.16506207207939064, 0.0316707206000679, 0.07937909094586135, 0.12095817562045627, -0.0745130090771201, -0.04356051749362491, 0.4478514200510611, -0.03756219201591706, -0.19929779725695462, 0.13619626499340462, -0.23536609041791662, -0.1292705805342, 0.12626427586393474, 0.23615241293004133, 0.14120802628156498, -0.12790731867623018, 0.09582839222034943, 0.03733098431301296, 0.13103603452612134, 0.10975977943691992, 0.030465277993729466, 0.2987021231617695, 0.14246513162340438, 0.07930431990443092, 0.10593615465576907, -0.21201131245667548, -0.038003980196116116, -0.3479315946683904, -0.1273989833721419, -0.14008720037947528, 0.006807248783823019, -0.11392290321510475, -0.12038934162618327, 0.3801467930372888, 0.14148527577421383, 0.18890927706782082, 0.019828222564218522, 0.32974316889798283, 0.07396459871906563, 0.027457936958381834, 0.11242939834482968, 0.32660502005242426, 0.0805514993643234, 0.05567207869920876, -0.19213837281891838, 0.013272490203590658, 0.055502350232038734] |
711.4293 | Randomness, chaos, and structure | We show how a simple scheme of symbolic dynamics distinguishes a chaotic from
a random time series and how it can be used to detect structural relationships
in coupled dynamics. This is relevant for the question at which scale in
complex dynamics regularities and patterns emerge.
| nlin.CD | we show how a simple scheme of symbolic dynamics distinguishes a chaotic from a random time series and how it can be used to detect structural relationships in coupled dynamics this is relevant for the question at which scale in complex dynamics regularities and patterns emerge | [['we', 'show', 'how', 'a', 'simple', 'scheme', 'of', 'symbolic', 'dynamics', 'distinguishes', 'a', 'chaotic', 'from', 'a', 'random', 'time', 'series', 'and', 'how', 'it', 'can', 'be', 'used', 'to', 'detect', 'structural', 'relationships', 'in', 'coupled', 'dynamics', 'this', 'is', 'relevant', 'for', 'the', 'question', 'at', 'which', 'scale', 'in', 'complex', 'dynamics', 'regularities', 'and', 'patterns', 'emerge']] | [-0.10414327441717235, 0.1701095100775685, -0.17282376641853023, 0.13911178343645905, -0.059552566229325275, -0.1285100178135073, 0.01047047978752981, 0.36003076217299246, -0.4019881433442883, -0.27564870881969517, 0.09009742575353416, -0.24672082872332438, -0.2961824035838894, 0.1924549553786283, -0.01917333787550097, 0.024931809905430546, 0.03065744767461539, 0.035175927540125405, 0.0020365103998261948, -0.20520953503032419, 0.3005891030087419, -0.0015589226968586445, 0.24592566644044025, -0.00014445046975236872, 0.10424809520254316, -0.05779874245838627, 0.0038727761205771694, 0.054948758617367435, -0.0868799708702642, 0.10457484987463155, 0.27536469675681513, 0.14420608718596076, 0.2530084309046683, -0.4568548403356386, -0.2252715810040093, 0.07873400333135025, 0.14332975433005588, 0.13908148715626853, -0.00020679189702091009, -0.2541812181310809, 0.06941567786523829, -0.10657612434790834, -0.11874831415226926, -0.163630681304747, 0.01420260362489068, 0.0017851540292410748, -0.2641276592874657, 0.08227049877219227, 0.05621403411192739, 0.06734695376666344, 0.02185032302108796, 0.07095288230187219, 0.021440922616697524, 0.19824828510172665, -0.01748244043783811, -0.019647656788077693, 0.12181255304376068, -0.09589489942679749, -0.13036574911245186, 0.41633733248581056, -0.08077849682582461, -0.24918986925774295, 0.24524111041556235, -0.139518604391133, -0.19428258048087035, 0.12016486720708401, 0.22999401431044805, 0.1254339935258031, -0.14327585002225215, 0.04362096329492962, -0.03680706826929489, 0.22258853444667615, 0.04518747044241299, 0.013661890695600407, 0.22040709398646394, 0.19552187439378188, 0.008957257210884405, 0.13022911313506166, -0.03762898752060921, -0.16016526678172144, -0.23479043506085873, -0.09293639210417219, -0.14009268642605646, 0.050766641901725015, -0.067193899444765, -0.13133812106578893, 0.470815861777579, 0.20605291558794028, 0.2598320512586962, 0.026653609147457326, 0.21792509191942847, 0.09043733962892514, 0.027905502923480843, 0.062012508002858936, 0.15512357010384617, 0.0690376656383033, 0.12199313448661048, -0.23063062255412503, 0.08329494090993768, 0.03898339848155561] |
711.4294 | Quantum dot cascade laser: Arguments in favor | Quantum cascade lasers are recognized as propitious candidates for future
terahertz optoelectronics. Here we demonstrate several definite advantages of
quantum dot cascade structures over quantum well devices, which suffer
fundamental performance limitations owing to continuous carrier spectrum. The
discrete spectrum of quantum dots opens an opportunity to control the
non-radiative relaxation and optical loss and also provides for more
flexibility in the choice of an optical and electrical design of the laser.
| cond-mat.other | quantum cascade lasers are recognized as propitious candidates for future terahertz optoelectronics here we demonstrate several definite advantages of quantum dot cascade structures over quantum well devices which suffer fundamental performance limitations owing to continuous carrier spectrum the discrete spectrum of quantum dots opens an opportunity to control the nonradiative relaxation and optical loss and also provides for more flexibility in the choice of an optical and electrical design of the laser | [['quantum', 'cascade', 'lasers', 'are', 'recognized', 'as', 'propitious', 'candidates', 'for', 'future', 'terahertz', 'optoelectronics', 'here', 'we', 'demonstrate', 'several', 'definite', 'advantages', 'of', 'quantum', 'dot', 'cascade', 'structures', 'over', 'quantum', 'well', 'devices', 'which', 'suffer', 'fundamental', 'performance', 'limitations', 'owing', 'to', 'continuous', 'carrier', 'spectrum', 'the', 'discrete', 'spectrum', 'of', 'quantum', 'dots', 'opens', 'an', 'opportunity', 'to', 'control', 'the', 'nonradiative', 'relaxation', 'and', 'optical', 'loss', 'and', 'also', 'provides', 'for', 'more', 'flexibility', 'in', 'the', 'choice', 'of', 'an', 'optical', 'and', 'electrical', 'design', 'of', 'the', 'laser']] | [-0.11300693837013871, 0.14115809287411846, -0.03774916240298706, -0.010168638028618362, -0.06610791455022991, -0.1905884190928191, 0.018186908039044485, 0.4845137831548022, -0.3290902184995098, -0.2702025026277018, 0.039482900399080895, -0.24889824141670638, -0.14842635584096164, 0.33541774466478574, -0.034626174297752894, 0.14587909022035697, 0.007870348661931025, -0.09348268201574683, -0.022920915194036853, -0.1655374976237201, 0.21377528874695095, 0.10357279961721765, 0.33225546538596973, 0.10480841626930568, 0.09892933536967677, -0.0022508427500724792, 0.048825285863131285, -0.08717265373302831, -0.09333747519243236, 0.1367036718454781, 0.2919347127382126, 0.03761124957236461, 0.32044996119414765, -0.43399922973993754, -0.2722664629238554, 0.048297513832545116, 0.1748850981433255, 0.12332525908358447, -0.12393536957845047, -0.2620453407936212, 0.07167881287346568, -0.18507919671376133, -0.07877893865043006, -0.10931762276191472, -0.00556161102010972, 0.013281242799065594, -0.22988183664468428, 0.006865141120619632, 0.02503453863998099, 0.03116583883123288, -0.04454825232844289, -0.07718067424139008, 0.035870434816590406, 0.133254577134115, -0.05363837009321691, -0.048018532132522926, 0.18070520917212385, -0.1670063736059496, -0.23169428145047277, 0.4172579901706841, -0.009272880490041442, -0.10751129157789466, 0.18658024222370134, -0.11800705688074231, -0.039739415851525135, 0.12531455139429049, 0.1431564493234166, 0.08045740435934728, -0.11468145130008149, 0.08546057749400562, 0.09432240393895579, 0.1625438271374959, 0.0436661487555183, 0.27813436912320966, 0.2560130490488114, 0.208213612721819, 0.10439887954594775, 0.1289767469441156, -0.10914540789639836, -0.11345189425628632, -0.24173287646327582, -0.1970970229788994, -0.2036701074232244, 0.15881341215895695, -0.04392255642132012, -0.1728421940933913, 0.4248006835890313, 0.15654078418285483, 0.11948638105402803, -0.01000557509865353, 0.3187277755803532, 0.13040993940699586, 0.054377020026246704, -0.007893576092707614, 0.25135809237447876, 0.1726210097808184, 0.09858588519758389, -0.2711581265450352, -0.03192889228618393, -0.08012065337000725] |
711.4295 | Transverse-momentum-dependent parton distribution function in
soft-collinear effective theory | Transverse-momentum-dependent parton distribution functions are analyzed in
semi-inclusive deep inelastic scattering at low transverse momentum using
soft-collinear effective theory. The transverse-momentum-dependent parton
distribution functions are defined on the lightcone without distorting the
lightcone path nor adding additional soft Wilson lines. In this approach, the
comparison between the integrated and unintegrated parton distribution
functions becomes transparent. The procedure of computing radiative corrections
in dimensional regularization is explained in detail, and the divergence, which
is a product of infrared and ultraviolet divergence, is cancelled. The
renormalization group equation for the transverse-momentum-dependent parton
distribution functions is derived. It depends only on the relevant physical
quantities and exhibits a nontrivial scaling behavior because the longitudinal
momentum fraction and the transverse momentum are coupled in the
renormalization group equation.
| hep-ph | transversemomentumdependent parton distribution functions are analyzed in semiinclusive deep inelastic scattering at low transverse momentum using softcollinear effective theory the transversemomentumdependent parton distribution functions are defined on the lightcone without distorting the lightcone path nor adding additional soft wilson lines in this approach the comparison between the integrated and unintegrated parton distribution functions becomes transparent the procedure of computing radiative corrections in dimensional regularization is explained in detail and the divergence which is a product of infrared and ultraviolet divergence is cancelled the renormalization group equation for the transversemomentumdependent parton distribution functions is derived it depends only on the relevant physical quantities and exhibits a nontrivial scaling behavior because the longitudinal momentum fraction and the transverse momentum are coupled in the renormalization group equation | [['transversemomentumdependent', 'parton', 'distribution', 'functions', 'are', 'analyzed', 'in', 'semiinclusive', 'deep', 'inelastic', 'scattering', 'at', 'low', 'transverse', 'momentum', 'using', 'softcollinear', 'effective', 'theory', 'the', 'transversemomentumdependent', 'parton', 'distribution', 'functions', 'are', 'defined', 'on', 'the', 'lightcone', 'without', 'distorting', 'the', 'lightcone', 'path', 'nor', 'adding', 'additional', 'soft', 'wilson', 'lines', 'in', 'this', 'approach', 'the', 'comparison', 'between', 'the', 'integrated', 'and', 'unintegrated', 'parton', 'distribution', 'functions', 'becomes', 'transparent', 'the', 'procedure', 'of', 'computing', 'radiative', 'corrections', 'in', 'dimensional', 'regularization', 'is', 'explained', 'in', 'detail', 'and', 'the', 'divergence', 'which', 'is', 'a', 'product', 'of', 'infrared', 'and', 'ultraviolet', 'divergence', 'is', 'cancelled', 'the', 'renormalization', 'group', 'equation', 'for', 'the', 'transversemomentumdependent', 'parton', 'distribution', 'functions', 'is', 'derived', 'it', 'depends', 'only', 'on', 'the', 'relevant', 'physical', 'quantities', 'and', 'exhibits', 'a', 'nontrivial', 'scaling', 'behavior', 'because', 'the', 'longitudinal', 'momentum', 'fraction', 'and', 'the', 'transverse', 'momentum', 'are', 'coupled', 'in', 'the', 'renormalization', 'group', 'equation']] | [-0.105940711853515, 0.21071981580086774, -0.19832907122890314, 0.17215205184766091, -0.07210804619112864, -0.04474988045741714, -0.018430177281017326, 0.43388676261078685, -0.20805747426235147, -0.20730637825815187, -0.030980782265091437, -0.31257631205352804, -0.04722112635218148, 0.10731415943460419, 0.04083290865509621, 0.10339835652660939, 0.014640593189640993, -0.06066572177599395, -0.12154287371818247, -0.16573568897494564, 0.401471795007256, 0.04011895986918863, 0.31303192394214774, 0.1312760400751065, 0.12997093901879364, 0.12750990481365607, -0.11858741240388143, -0.030129864481427977, -0.08206186667760654, 0.05783035030101253, 0.21367628511600947, 0.017996798284471996, 0.15304050576448772, -0.37165744287983304, -0.17002388395579351, 0.03163281613360009, 0.18813251788472576, 0.06488480543128154, 0.019605887259521913, -0.20938378399718674, -0.033958581609523766, -0.22741930834167906, -0.17854388510327665, -0.13302167024343245, -0.04990783368327444, -0.009078105091072259, -0.28222792451607903, 0.12830049927170847, -0.06311759226504833, 0.03577439634940557, 0.00042184645445236276, -0.17256645214999275, -0.09216688835107151, 0.052046916391249864, 0.08341455554980184, 0.10817223592312075, 0.17300921289866128, -0.22520702534934717, -0.08412138929575562, 0.3461784259115736, -0.0006409423545964303, -0.2557204373316058, 0.07951132541394702, -0.20269892538987822, -0.12270094503107812, 0.16454057058528573, 0.17732121964124212, 0.1277320255795794, -0.21892462869835716, 0.1683138913825631, -0.013823789067476267, 0.11376231886735637, 0.09670172577288243, 0.09312879220458618, 0.15854397635220882, 0.1124066733604958, -0.04371937573136341, 0.09325598078946988, -0.0868091530264205, -0.16394115259390674, -0.3983556828311374, -0.08005945896729827, -0.18134277586960384, 0.08830831437033691, -0.15503695659701347, -0.18357881712126395, 0.3691690113064983, 0.08219329883456428, 0.21372982221392675, 0.037711761644928746, 0.34354025193099536, 0.22713320862948744, 0.13454678897640757, 0.11557326693042752, 0.21585596850772779, 0.16211987432513025, 0.11150741413052122, -0.26627266790432436, 0.04297127642278229, 0.12461824859530034] |
711.4296 | Multicritical end-point of the first-order ferromagnetic transition in
colossal magnetoresistive manganites | We have studied the bandwidth-temperature-magnetic field phase diagram of
RE(0.55)Sr(0.45)MnO(3) colossal magnetoresistance manganites with ferromagnetic
metallic (FM) ground state. The bandwidth (or equivalently the double exchange
interaction) was controlled both via chemical substitution and hydrostatic
pressure with a focus on the vicinity of the critical pressure p* where the
character of the zero-field FM transition changes from first to second order.
Below p* the first-order FM transition extends up to a critical magnetic field,
H_cr. It is suppressed by pressure and approaches zero on the larger bandwidth
side where the surface of the first-order FM phase boundary is terminated by a
multicritical end-point (p*~32 kbar, T*~188 K, H*=0). The change in the
character of the transition and the decrease of the CMR effect is attributed to
the reduced CO/OO fluctuations.
| cond-mat.str-el | we have studied the bandwidthtemperaturemagnetic field phase diagram of re055sr045mno3 colossal magnetoresistance manganites with ferromagnetic metallic fm ground state the bandwidth or equivalently the double exchange interaction was controlled both via chemical substitution and hydrostatic pressure with a focus on the vicinity of the critical pressure p where the character of the zerofield fm transition changes from first to second order below p the firstorder fm transition extends up to a critical magnetic field h_cr it is suppressed by pressure and approaches zero on the larger bandwidth side where the surface of the firstorder fm phase boundary is terminated by a multicritical endpoint p32 kbar t188 k h0 the change in the character of the transition and the decrease of the cmr effect is attributed to the reduced cooo fluctuations | [['we', 'have', 'studied', 'the', 'bandwidthtemperaturemagnetic', 'field', 'phase', 'diagram', 'of', 're055sr045mno3', 'colossal', 'magnetoresistance', 'manganites', 'with', 'ferromagnetic', 'metallic', 'fm', 'ground', 'state', 'the', 'bandwidth', 'or', 'equivalently', 'the', 'double', 'exchange', 'interaction', 'was', 'controlled', 'both', 'via', 'chemical', 'substitution', 'and', 'hydrostatic', 'pressure', 'with', 'a', 'focus', 'on', 'the', 'vicinity', 'of', 'the', 'critical', 'pressure', 'p', 'where', 'the', 'character', 'of', 'the', 'zerofield', 'fm', 'transition', 'changes', 'from', 'first', 'to', 'second', 'order', 'below', 'p', 'the', 'firstorder', 'fm', 'transition', 'extends', 'up', 'to', 'a', 'critical', 'magnetic', 'field', 'h_cr', 'it', 'is', 'suppressed', 'by', 'pressure', 'and', 'approaches', 'zero', 'on', 'the', 'larger', 'bandwidth', 'side', 'where', 'the', 'surface', 'of', 'the', 'firstorder', 'fm', 'phase', 'boundary', 'is', 'terminated', 'by', 'a', 'multicritical', 'endpoint', 'p32', 'kbar', 't188', 'k', 'h0', 'the', 'change', 'in', 'the', 'character', 'of', 'the', 'transition', 'and', 'the', 'decrease', 'of', 'the', 'cmr', 'effect', 'is', 'attributed', 'to', 'the', 'reduced', 'cooo', 'fluctuations']] | [-0.19312084517276693, 0.2389702005971839, -0.029347217722436574, -0.004870333350410201, -0.04428994321579656, -0.12998125348863462, 0.14601534823740386, 0.32315803854542924, -0.2859956423832676, -0.2646821673270168, 0.05567115773978518, -0.32717729268932905, -0.07287129818271171, 0.11436606590694741, 0.06869659130278183, -0.002324840022921544, -0.08001576591737744, 0.0828434622765878, -0.1593764983878405, -0.20341782916454584, 0.34252644170398316, -0.004227375193667693, 0.2894047511389523, 0.09132076480231563, -0.017471512104934594, -0.021566995412228614, 0.16007688051038313, 0.033114299575035554, -0.18475766902547477, -0.01846100101067536, 0.214934524836653, -0.10648352172643709, 0.2059471475686438, -0.3485570057023933, -0.1962899282999982, 0.05948511888933053, 0.0976449823168319, 0.10371582054599064, -0.012591900896119673, -0.30733363385363593, 0.10983530096123069, -0.12326345708602526, -0.09820313573132937, -0.04390083339182645, -0.01670836909274446, -0.020853140529366137, -0.2774688918510173, 0.12050617360106604, 0.10224271133197398, 0.13436413741868547, -0.06516464681027266, -0.1599650997558506, -0.07164124977283591, 0.09385382040682447, 0.06116137174911445, 0.14715552255217954, 0.164077953255816, -0.10595767604421795, -0.0658653945273419, 0.36161432539178867, -0.07912629046092381, -0.029050651607726973, 0.14144093527157944, -0.21512130770362972, -0.021717143318373856, 0.23155285312801482, 0.11512539117582377, 0.07649676932945965, -0.07615257131566447, 0.11308604978092793, 0.08926736366271415, 0.21232206638770426, 0.05591785901145437, -0.04127101328473274, 0.216752905996267, 0.1798910876501381, 0.05423021182513202, 0.17112105286232834, -0.10917545521382506, -0.09513344325851208, -0.24255042597944812, -0.14479092479221464, -0.20311649242694688, 0.04156203088203929, -0.09905912902347806, -0.20207936844722493, 0.32283397565236477, 0.14702507533778356, 0.2053878364908531, -0.0745883238626512, 0.2530243344436304, 0.13687889749829577, 0.07563761779745146, 0.02746389352617507, 0.2369396883231683, 0.20038918696901226, 0.1573679966294742, -0.32400693752252685, 0.10047106020057237, 0.030785868936181654] |
711.4297 | A multispectral view of the periodic events in eta Carinae | A full description of the 5.5-yr low excitation events in Eta Carinae is
presented. We show that they are not as simple and brief as previously thought,
but a combination of two components. The first, the 'slow variation' component,
is revealed by slow changes in the ionization level of circumstellar matter
across the whole cycle and is caused by gradual changes in the wind-wind
collision shock-cone orientation, angular opening and gaseous content. The
second, the 'collapse' component, is restricted to around the minimum, and is
due to a temporary global collapse of the wind-wind collision shock. High
energy photons (E > 16 eV) from the companion star are strongly shielded,
leaving the Weigelt objects at low ionization state for >6 months. High energy
phenomena are sensitive only to the 'collapse', low energy only to the 'slow
variation' and intermediate energies to both components. Simple eclipses and
mechanisms effective only near periastron (e.g., shell ejection or accretion
onto the secondary star) cannot account for the whole 5.5-yr cycle.
We find anti-correlated changes in the intensity and the radial velocity of P
Cygni absorption profiles in FeII 6455 and HeI 7065 lines, indicating that the
former is associated to the primary and the latter to the secondary star. We
present a set of light curves representative of the whole spectrum, useful for
monitoring the next event (2009 January 11).
| astro-ph | a full description of the 55yr low excitation events in eta carinae is presented we show that they are not as simple and brief as previously thought but a combination of two components the first the slow variation component is revealed by slow changes in the ionization level of circumstellar matter across the whole cycle and is caused by gradual changes in the windwind collision shockcone orientation angular opening and gaseous content the second the collapse component is restricted to around the minimum and is due to a temporary global collapse of the windwind collision shock high energy photons e 16 ev from the companion star are strongly shielded leaving the weigelt objects at low ionization state for 6 months high energy phenomena are sensitive only to the collapse low energy only to the slow variation and intermediate energies to both components simple eclipses and mechanisms effective only near periastron eg shell ejection or accretion onto the secondary star cannot account for the whole 55yr cycle we find anticorrelated changes in the intensity and the radial velocity of p cygni absorption profiles in feii 6455 and hei 7065 lines indicating that the former is associated to the primary and the latter to the secondary star we present a set of light curves representative of the whole spectrum useful for monitoring the next event 2009 january 11 | [['a', 'full', 'description', 'of', 'the', '55yr', 'low', 'excitation', 'events', 'in', 'eta', 'carinae', 'is', 'presented', 'we', 'show', 'that', 'they', 'are', 'not', 'as', 'simple', 'and', 'brief', 'as', 'previously', 'thought', 'but', 'a', 'combination', 'of', 'two', 'components', 'the', 'first', 'the', 'slow', 'variation', 'component', 'is', 'revealed', 'by', 'slow', 'changes', 'in', 'the', 'ionization', 'level', 'of', 'circumstellar', 'matter', 'across', 'the', 'whole', 'cycle', 'and', 'is', 'caused', 'by', 'gradual', 'changes', 'in', 'the', 'windwind', 'collision', 'shockcone', 'orientation', 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711.4298 | Steering quantum transitions between three crossing energy levels | We calculate the propagator and the transition probabilities for a coherently
driven three-state quantum system. The energies of the three states change
linearly in time, whereas the interactions between them are pulse-shaped. We
derive a highly accurate analytic approximation by assuming independent
pairwise Landau-Zener transitions occurring instantly at the relevant avoided
crossings, and adiabatic evolution elsewhere. Quantum interferences are
identified, which occur due to different possible evolution paths in Hilbert
space between an initial and a final state. A detailed comparison with
numerical results for Gaussian-shaped pulses demonstrates a remarkable accuracy
of the analytic approximation. We use the analytic results to derive estimates
for the half-width of the excitation profile, and for the parameters required
for creation of a maximally coherent superposition of the three states. These
results are of potential interest in ladder climbing in alkali atoms by chirped
laser pulses, in quantum rotors, in transitions between Zeeman sublevels of a
J=1 level in a magnetic field, and in control of entanglement of a pair of
spin-1/2 particles. The results for the three-state system can be generalized,
without essential difficulties, to higher dimensions.
| quant-ph | we calculate the propagator and the transition probabilities for a coherently driven threestate quantum system the energies of the three states change linearly in time whereas the interactions between them are pulseshaped we derive a highly accurate analytic approximation by assuming independent pairwise landauzener transitions occurring instantly at the relevant avoided crossings and adiabatic evolution elsewhere quantum interferences are identified which occur due to different possible evolution paths in hilbert space between an initial and a final state a detailed comparison with numerical results for gaussianshaped pulses demonstrates a remarkable accuracy of the analytic approximation we use the analytic results to derive estimates for the halfwidth of the excitation profile and for the parameters required for creation of a maximally coherent superposition of the three states these results are of potential interest in ladder climbing in alkali atoms by chirped laser pulses in quantum rotors in transitions between zeeman sublevels of a j1 level in a magnetic field and in control of entanglement of a pair of spin12 particles the results for the threestate system can be generalized without essential difficulties to higher dimensions | [['we', 'calculate', 'the', 'propagator', 'and', 'the', 'transition', 'probabilities', 'for', 'a', 'coherently', 'driven', 'threestate', 'quantum', 'system', 'the', 'energies', 'of', 'the', 'three', 'states', 'change', 'linearly', 'in', 'time', 'whereas', 'the', 'interactions', 'between', 'them', 'are', 'pulseshaped', 'we', 'derive', 'a', 'highly', 'accurate', 'analytic', 'approximation', 'by', 'assuming', 'independent', 'pairwise', 'landauzener', 'transitions', 'occurring', 'instantly', 'at', 'the', 'relevant', 'avoided', 'crossings', 'and', 'adiabatic', 'evolution', 'elsewhere', 'quantum', 'interferences', 'are', 'identified', 'which', 'occur', 'due', 'to', 'different', 'possible', 'evolution', 'paths', 'in', 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711.4299 | Quantum computers can search rapidly by using almost any selective
transformations | The search problem is to find a state satisfying certain properties out of a
given set. Grover's algorithm drives a quantum computer from a prepared initial
state to the target state and solves the problem quadratically faster than a
classical computer. The algorithm uses selective transformations to distinguish
the initial state and target state from other states. It does not succeed
unless the selective transformations are very close to phase-inversions. Here
we show a way to go beyond this limitation. An important application lies in
quantum error-correction, where the errors can cause the selective
transformations to deviate from phase-inversions. The algorithms presented here
are robust to errors as long as the errors are reproducible and reversible.
This particular class of systematic errors arise often from imperfections in
apparatus setup. Hence our algorithms offer a significant flexibility in the
physical implementation of quantum search.
| quant-ph | the search problem is to find a state satisfying certain properties out of a given set grovers algorithm drives a quantum computer from a prepared initial state to the target state and solves the problem quadratically faster than a classical computer the algorithm uses selective transformations to distinguish the initial state and target state from other states it does not succeed unless the selective transformations are very close to phaseinversions here we show a way to go beyond this limitation an important application lies in quantum errorcorrection where the errors can cause the selective transformations to deviate from phaseinversions the algorithms presented here are robust to errors as long as the errors are reproducible and reversible this particular class of systematic errors arise often from imperfections in apparatus setup hence our algorithms offer a significant flexibility in the physical implementation of quantum search | [['the', 'search', 'problem', 'is', 'to', 'find', 'a', 'state', 'satisfying', 'certain', 'properties', 'out', 'of', 'a', 'given', 'set', 'grovers', 'algorithm', 'drives', 'a', 'quantum', 'computer', 'from', 'a', 'prepared', 'initial', 'state', 'to', 'the', 'target', 'state', 'and', 'solves', 'the', 'problem', 'quadratically', 'faster', 'than', 'a', 'classical', 'computer', 'the', 'algorithm', 'uses', 'selective', 'transformations', 'to', 'distinguish', 'the', 'initial', 'state', 'and', 'target', 'state', 'from', 'other', 'states', 'it', 'does', 'not', 'succeed', 'unless', 'the', 'selective', 'transformations', 'are', 'very', 'close', 'to', 'phaseinversions', 'here', 'we', 'show', 'a', 'way', 'to', 'go', 'beyond', 'this', 'limitation', 'an', 'important', 'application', 'lies', 'in', 'quantum', 'errorcorrection', 'where', 'the', 'errors', 'can', 'cause', 'the', 'selective', 'transformations', 'to', 'deviate', 'from', 'phaseinversions', 'the', 'algorithms', 'presented', 'here', 'are', 'robust', 'to', 'errors', 'as', 'long', 'as', 'the', 'errors', 'are', 'reproducible', 'and', 'reversible', 'this', 'particular', 'class', 'of', 'systematic', 'errors', 'arise', 'often', 'from', 'imperfections', 'in', 'apparatus', 'setup', 'hence', 'our', 'algorithms', 'offer', 'a', 'significant', 'flexibility', 'in', 'the', 'physical', 'implementation', 'of', 'quantum', 'search']] | [-0.08697865073113366, 0.123330902250534, -0.0977563590656781, 0.06631440199260989, -0.06242385704453427, -0.18599587524679642, 0.0968899471265865, 0.3763650901407558, -0.3216081767983682, -0.3192502233259221, 0.09838439045054508, -0.23241776033760386, -0.13506210464009924, 0.22845790037845679, -0.1029983694988785, 0.10283152663300857, 0.1034122054702074, 0.020124772173874345, -0.11234755937261044, -0.2279924577141696, 0.2606444943990188, 0.0527832852882921, 0.277581162750721, -0.01492702896237796, 0.09115998576401818, -0.019849984845516425, 0.019799053160381233, 0.006850930320508514, -0.0691216136328876, 0.067803586690756, 0.2711652258794147, 0.1456844441572878, 0.29889660555842923, -0.4173470691559797, -0.1850843949529098, 0.11757022973004702, 0.1198481962230083, 0.23624364599083544, -0.05286584044839685, -0.28883974786504363, 0.07207372855949909, -0.1338581105278052, -0.09969905210024815, -0.09553419521032232, -0.011070095702794427, -0.02654212412708406, -0.25865279487561244, 0.0375315635555906, 0.08556554887397545, 0.007974944048741146, -0.0008045418505021867, -0.10370433631399316, 0.048759545235901224, 0.13599845152084075, -0.009568635343346111, 0.05866406481475272, 0.17687163057122776, -0.12177354977334064, -0.13601173217084708, 0.40855478442353294, -0.006464395264732479, -0.21233461499346276, 0.20122803372978265, -0.0688460050679162, -0.13462226836552435, 0.12660240783217422, 0.16500631912697292, 0.11910945957969107, -0.12064360532619006, 0.07123493221431561, 0.009311538843556922, 0.2068638706460912, 0.01612313166723078, 0.07522451662927443, 0.17697788004561968, 0.1224932679856949, 0.10342830335325066, 0.17181713593147813, -0.05220637032997477, -0.14262583814825572, -0.30590360966950314, -0.15199364719133004, -0.16940135320859914, 0.06010238928086676, -0.0028321929107765265, -0.1844363682936375, 0.3727312272526852, 0.20060430038249755, 0.19003105693305214, 0.03564202267980428, 0.2990511698938959, 0.0658339736901648, 0.05717862731522628, 0.07792443138421744, 0.23795642096182687, 0.08218232739109096, 0.0736123311911513, -0.22029600800048058, 0.10918232510923177, -0.010146862052790556] |
711.43 | Reconstruction of scalar potentials in two-field cosmological models | We study the procedure of the reconstruction of phantom-scalar field
potentials in two-field cosmological models. It is shown that while in the
one-field case the chosen cosmological evolution defines uniquely the form of
the scalar potential, in the two-field case one has an infinite number of
possibilities. The classification of a large class of possible potentials is
presented and the dependence of cosmological dynamics on the choice of initial
conditions is investigated qualitatively and numerically for two particular
models.
| gr-qc astro-ph hep-th | we study the procedure of the reconstruction of phantomscalar field potentials in twofield cosmological models it is shown that while in the onefield case the chosen cosmological evolution defines uniquely the form of the scalar potential in the twofield case one has an infinite number of possibilities the classification of a large class of possible potentials is presented and the dependence of cosmological dynamics on the choice of initial conditions is investigated qualitatively and numerically for two particular models | [['we', 'study', 'the', 'procedure', 'of', 'the', 'reconstruction', 'of', 'phantomscalar', 'field', 'potentials', 'in', 'twofield', 'cosmological', 'models', 'it', 'is', 'shown', 'that', 'while', 'in', 'the', 'onefield', 'case', 'the', 'chosen', 'cosmological', 'evolution', 'defines', 'uniquely', 'the', 'form', 'of', 'the', 'scalar', 'potential', 'in', 'the', 'twofield', 'case', 'one', 'has', 'an', 'infinite', 'number', 'of', 'possibilities', 'the', 'classification', 'of', 'a', 'large', 'class', 'of', 'possible', 'potentials', 'is', 'presented', 'and', 'the', 'dependence', 'of', 'cosmological', 'dynamics', 'on', 'the', 'choice', 'of', 'initial', 'conditions', 'is', 'investigated', 'qualitatively', 'and', 'numerically', 'for', 'two', 'particular', 'models']] | [-0.1444467399135017, 0.09825763055768896, -0.08838310415068498, 0.06580664699700159, -0.03255236115103635, -0.1316124361474067, -0.07884947235027376, 0.3331147883660518, -0.2330529186874628, -0.27850853654150015, 0.0729913768486884, -0.22183355103987148, -0.16100009743315288, 0.1941614845672097, 0.011072849580206169, 0.055696798231787026, 0.041245819887337394, 0.06741123870970347, -0.03923866603872739, -0.2978565071781094, 0.39023936316609764, 0.04640823925057283, 0.24020577346285185, 0.03306859960325827, 0.10312450016872624, -0.03159487511341771, -0.010608884792488355, 0.04358876184321558, -0.16773693386858213, 0.04136667978197623, 0.1532415701834767, 0.13236138610861814, 0.2567404815688347, -0.36070818702379864, -0.24508882322324774, 0.1430421059485525, 0.12054042199937005, 0.16162427983139283, -0.07111988363650222, -0.22425038187812346, 0.05543239316783655, -0.1610775922353451, -0.16530095451386073, -0.06692668873195846, 0.030495095539850015, -0.002013827964382915, -0.2849673979008236, 0.059111462094080754, 0.013812799714147471, -0.0176575595799547, -0.11686668411876337, -0.07001407325076751, -0.029777132947809804, 0.09478661709297927, 0.09015076874026981, -0.022269964680815928, 0.08090269738115752, -0.18806010908566606, -0.0700193626092723, 0.4179900336580781, -0.10532146839138407, -0.25215947675781375, 0.18155535649603757, -0.13720976724289358, -0.14260280699445269, 0.06793785335806508, 0.1273434477714965, 0.14951978074625516, -0.15619110023507324, 0.18160166665284821, -0.006438751089332912, 0.12457726869541101, 0.05058612461942129, -0.018674296213504978, 0.2135863627713078, 0.183171624595371, 0.03259416568116882, 0.15077083598888025, -0.05563765675581705, -0.12774962989258198, -0.3604202359580459, -0.10028446806021608, -0.18597144250256512, 0.03078716146783569, -0.1333665181102846, -0.2049192173166935, 0.47358306555543095, 0.14594414073806733, 0.1811819763448185, 0.03397857904052123, 0.23487440515787172, 0.0966368963679251, 0.03510274372708339, 0.012532897842809176, 0.26625833566336393, 0.14017617616217393, 0.07560474678384474, -0.24118870084221739, 0.011905315893296247, 0.038999599691193834] |
711.4301 | Spatial amplitude and phase modulation using commercial twisted nematic
LCDs | We present a method for full spatial phase and amplitude control of a laser
beam using a twisted nematic liquid crystal display combined with a spatial
filter. By spatial filtering we combine four neighboring pixels into one
superpixel. At each superpixel we are able to independently modulate the phase
and the amplitude of light. We demonstrate experimentally the independent phase
and amplitude modulation using this novel technique. Our technique does not
impose special requirements on the spatial light modulator and allows precise
control of fields even with imperfect modulators.
| physics.optics | we present a method for full spatial phase and amplitude control of a laser beam using a twisted nematic liquid crystal display combined with a spatial filter by spatial filtering we combine four neighboring pixels into one superpixel at each superpixel we are able to independently modulate the phase and the amplitude of light we demonstrate experimentally the independent phase and amplitude modulation using this novel technique our technique does not impose special requirements on the spatial light modulator and allows precise control of fields even with imperfect modulators | [['we', 'present', 'a', 'method', 'for', 'full', 'spatial', 'phase', 'and', 'amplitude', 'control', 'of', 'a', 'laser', 'beam', 'using', 'a', 'twisted', 'nematic', 'liquid', 'crystal', 'display', 'combined', 'with', 'a', 'spatial', 'filter', 'by', 'spatial', 'filtering', 'we', 'combine', 'four', 'neighboring', 'pixels', 'into', 'one', 'superpixel', 'at', 'each', 'superpixel', 'we', 'are', 'able', 'to', 'independently', 'modulate', 'the', 'phase', 'and', 'the', 'amplitude', 'of', 'light', 'we', 'demonstrate', 'experimentally', 'the', 'independent', 'phase', 'and', 'amplitude', 'modulation', 'using', 'this', 'novel', 'technique', 'our', 'technique', 'does', 'not', 'impose', 'special', 'requirements', 'on', 'the', 'spatial', 'light', 'modulator', 'and', 'allows', 'precise', 'control', 'of', 'fields', 'even', 'with', 'imperfect', 'modulators']] | [-0.11513784074674496, 0.1615832467835522, -0.133299430452936, -0.011428716546709367, -0.09226069534511379, -0.1856954006917691, 0.07242394852703123, 0.5047892233294048, -0.23461241559243207, -0.30691601678184915, 0.08471838350334529, -0.20447756384588972, -0.14609500380583484, 0.16460141470509299, -0.06655828498471973, 0.06394506922106813, 0.0035037902390500637, -0.033763961908355185, -0.0760992657565878, -0.18355619787039718, 0.2753411713265552, -0.0007696850643901343, 0.3498472702909219, -0.016010712957784033, 0.20392692010075356, 0.0822362231373201, -0.047146340277506395, -0.004589285795691978, -0.11180556540408831, 0.08328266521350722, 0.18137866395932434, 0.042409720640218154, 0.20128632163147578, -0.44171981425600104, -0.24059070417594708, 0.06136009108086818, 0.1532674031750707, 0.1594906501848711, -0.05281300843252507, -0.29508183166133556, 0.04785693246410804, -0.09724033601958765, -0.11694406214159693, -0.09587525052614929, -0.07987422487185744, 0.050979291329230965, -0.2869678413615761, 0.03630020111548097, 0.012002775760817477, 0.0365023191474127, -0.013500816607978614, -0.07550517567747346, -0.019916099519730453, 0.09750951248943136, -0.06891411423599453, 0.033079227160536843, 0.12495502639232266, -0.08340131421050245, -0.07877216868761801, 0.3260401893574535, -0.07601539479840673, -0.20092497577922147, 0.12263461163665136, -0.16800394077691133, -0.09066634360449703, 0.19128369806423323, 0.195952414534332, 0.10185830463561114, -0.09633337857013338, -0.016680533989866294, 0.03981965637420503, 0.3005701337595669, 0.09710659761128299, 0.09431935527644465, 0.2281659235445301, 0.20797172097719452, 0.07423552101624481, 0.15481882916470424, -0.20034686765068452, -0.020359127624012697, -0.26338692671839103, -0.0916493241779841, -0.15124499066889788, -0.0740097278826857, -0.1197768936105062, -0.11787887743224254, 0.4524229004811705, 0.18472052758999086, 0.16276637104266647, -0.006351740455275841, 0.3513377241874009, 0.09419383749684967, 0.09172388366057296, 0.012462601034242786, 0.23392728489059744, 0.12322665131755509, 0.13065194962755516, -0.22985345803808127, -0.002890292623111706, 0.040006066306253495] |
711.4302 | Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld
category and the category of Uq(g)-modules | We discuss the proof of Kazhdan and Lusztig of the equivalence of the
Drinfeld category D(g,h) of g-modules and the category of finite dimensional
Uq(g)-modules, q=exp(\pi ih), for h\in C\Q*. Aiming at operator algebraists the
result is formulated as the existence for each h\in iR of a normalized unitary
2-cochain F on the dual \hat G of a compact simple Lie group G such that the
convolution algebra of G with the coproduct twisted by F is *-isomorphic to the
convolution algebra of the q-deformation G_q of G, while the coboundary of
F^{-1} coincides with Drinfeld's KZ-associator defined via monodromy of the
Knizhnik-Zamolodchikov equations.
| math.QA math.OA | we discuss the proof of kazhdan and lusztig of the equivalence of the drinfeld category dgh of gmodules and the category of finite dimensional uqgmodules qexppi ih for hin cq aiming at operator algebraists the result is formulated as the existence for each hin ir of a normalized unitary 2cochain f on the dual hat g of a compact simple lie group g such that the convolution algebra of g with the coproduct twisted by f is isomorphic to the convolution algebra of the qdeformation g_q of g while the coboundary of f1 coincides with drinfelds kzassociator defined via monodromy of the knizhnikzamolodchikov equations | [['we', 'discuss', 'the', 'proof', 'of', 'kazhdan', 'and', 'lusztig', 'of', 'the', 'equivalence', 'of', 'the', 'drinfeld', 'category', 'dgh', 'of', 'gmodules', 'and', 'the', 'category', 'of', 'finite', 'dimensional', 'uqgmodules', 'qexppi', 'ih', 'for', 'hin', 'cq', 'aiming', 'at', 'operator', 'algebraists', 'the', 'result', 'is', 'formulated', 'as', 'the', 'existence', 'for', 'each', 'hin', 'ir', 'of', 'a', 'normalized', 'unitary', '2cochain', 'f', 'on', 'the', 'dual', 'hat', 'g', 'of', 'a', 'compact', 'simple', 'lie', 'group', 'g', 'such', 'that', 'the', 'convolution', 'algebra', 'of', 'g', 'with', 'the', 'coproduct', 'twisted', 'by', 'f', 'is', 'isomorphic', 'to', 'the', 'convolution', 'algebra', 'of', 'the', 'qdeformation', 'g_q', 'of', 'g', 'while', 'the', 'coboundary', 'of', 'f1', 'coincides', 'with', 'drinfelds', 'kzassociator', 'defined', 'via', 'monodromy', 'of', 'the', 'knizhnikzamolodchikov', 'equations']] | [-0.175764106069375, 0.045771311683743036, -0.06582601529600333, 0.010297543161833496, -0.12736897076507217, -0.13049175996261025, -0.018204437482885076, 0.3406261148347149, -0.35921010420232724, -0.17738286538944734, 0.0758214829426295, -0.21561394983595147, -0.12250376840854443, 0.17527160215761187, -0.14979117234843303, -0.026973126361200823, 0.05880752375837669, 0.17661575029504675, -0.1283973757589001, -0.24304500719514285, 0.4289679166689081, -0.0337124999829577, 0.20980870394596776, 0.003887532577280281, 0.13593429722145056, -0.002094126008089306, -0.0009990407233646374, -0.06575903077655047, -0.14594058576753438, 0.1225062244689291, 0.2863134653985645, 0.02941713222411, 0.2109881867959788, -0.31370270733260414, -0.057440876531260975, 0.1534562985575532, 0.10371830027202343, -0.09422933221263449, -0.001286509131461165, -0.3227776398032325, 0.08068272482278277, -0.22037351341212838, -0.12838227279118072, -0.020001454348901954, 0.12392749329994984, -0.0017312253148349236, -0.2686795516174684, 0.021105618984664527, 0.09764949216064318, 0.09877492700820988, -0.06250176683646962, -0.1334312304049658, -0.13966442953379263, 0.072778137086538, -0.08913392272271506, 0.09050357079097224, 0.10571669331114306, -0.11546919220422443, -0.14024333154457141, 0.385095991519759, -0.10500097564575307, -0.18279311290797462, 0.07528523157703355, -0.1786699447898393, -0.18411782191776968, 0.05509843900618912, -0.0038940552712499518, 0.1475681690408767, -0.00899996034330824, 0.2643012222325321, -0.16203045753707873, 0.001553333319217256, 0.09821870134582797, -0.01687211135076811, 0.10930464310273166, 0.09995657586700564, 0.0577989396982763, 0.1487823272557947, 0.06821105901594952, 0.02595590406834392, -0.3979985854470903, -0.19354762836784414, -0.1348901829338696, 0.161696518066077, -0.1363628488664122, -0.17749432249681898, 0.4054955939029895, 0.06532758471806922, 0.1634363202283213, 0.11264508550091493, 0.14608091785057079, 0.14020649642000896, 0.1176386060762825, 0.024512530797278706, 0.10015272378505578, 0.3176143763482896, -0.06906673799775251, -0.21133614299836959, -0.07454684172368166, 0.28757569370610475] |
711.4303 | More on Non-standard Interaction at MINOS | We discuss about effects of the non-standard interaction of neutrinos with
matter on the nu_e appearance search in the MINOS experiment. We consider the
effects of the complex phase of the interaction and of the uncertainty on
theta_23 also. We show that the oscillation probability can be so large that
can not be explained by the ordinary oscillation. We show also how much
constraints on the non-standard effects can be improved if the experiment does
not observe nu_e appearance signal.
| hep-ph | we discuss about effects of the nonstandard interaction of neutrinos with matter on the nu_e appearance search in the minos experiment we consider the effects of the complex phase of the interaction and of the uncertainty on theta_23 also we show that the oscillation probability can be so large that can not be explained by the ordinary oscillation we show also how much constraints on the nonstandard effects can be improved if the experiment does not observe nu_e appearance signal | [['we', 'discuss', 'about', 'effects', 'of', 'the', 'nonstandard', 'interaction', 'of', 'neutrinos', 'with', 'matter', 'on', 'the', 'nu_e', 'appearance', 'search', 'in', 'the', 'minos', 'experiment', 'we', 'consider', 'the', 'effects', 'of', 'the', 'complex', 'phase', 'of', 'the', 'interaction', 'and', 'of', 'the', 'uncertainty', 'on', 'theta_23', 'also', 'we', 'show', 'that', 'the', 'oscillation', 'probability', 'can', 'be', 'so', 'large', 'that', 'can', 'not', 'be', 'explained', 'by', 'the', 'ordinary', 'oscillation', 'we', 'show', 'also', 'how', 'much', 'constraints', 'on', 'the', 'nonstandard', 'effects', 'can', 'be', 'improved', 'if', 'the', 'experiment', 'does', 'not', 'observe', 'nu_e', 'appearance', 'signal']] | [-0.096567243617028, 0.23531666416092775, -0.0895960040005889, 0.1698861328884959, -0.10538905775174498, -0.07493274270091206, 0.06767860934196505, 0.3192031855229288, -0.27367672834079715, -0.32517472518375146, 0.07334566310019, -0.2967412797617726, -0.16860534101433586, 0.168683415275882, -0.029773751040920615, -0.043813983010477384, 0.11594420620240271, 0.056949275406077506, -0.10199142312048934, -0.2207233826717129, 0.30774141252040865, 0.07353550184052438, 0.22127622094121763, 0.10633802157826722, 0.04544326043687761, -0.028793164814123882, -0.03438462654594332, 0.020215025148354472, -0.09759149878027529, -0.0025463504483923317, 0.18857185329106868, 0.15508047931689362, 0.1203973394818604, -0.44521835194900633, -0.20688488598680124, 0.2121087855019141, 0.1566811373922974, 0.12365382725838572, -0.04613336563197663, -0.37116432781331243, 0.040851520307478496, -0.1699479097616859, -0.08967134578269906, -0.06702397353947162, -0.0503785852342844, 0.01751449677394703, -0.2919814878492616, 0.08568069037792156, 0.04363112459541298, -0.015435239276848733, 0.00654398410115391, -0.13871549647301434, 0.017133647564332933, 0.07483691362431273, 0.09286851875222055, -0.03871470228768885, 0.09943258237908595, -0.1330568630961352, -0.09805256228428334, 0.4029740223661065, -0.12065836661495269, -0.20351842322270386, 0.12464308174967301, -0.23816132497158832, -0.09743489668471739, 0.09831862622813788, 0.18386023924686015, 0.03520214637974277, -0.120206295553362, 0.08155647026069346, -0.06723578327801079, 0.19730253384914248, 0.034276219696039334, 0.021344201569445432, 0.2262121602660045, 0.1974866375559941, 0.10560481660650112, 0.028689099264738616, -0.15091656904842238, -0.01557496627792716, -0.34833311587572097, -0.09155965199461207, -0.10188029305427335, 0.057827988796998395, -0.04206175867566344, -0.09352883028332144, 0.4156612197635695, 0.19311341708526014, 0.21603112928569318, -0.022770431183744222, 0.27171398340724406, 0.10840534911258146, 0.062352531612850724, -0.017487975960830227, 0.37103426503017545, 0.05425945087627042, 0.07254178493167274, -0.3258522863034159, 0.10576128106040414, 0.008937315590446814] |
711.4304 | Form factors and other measures of strangeness in the nucleon | We discuss the phenomenology of strange-quark dynamics in the nucleon, based
on experimental and theoretical results for electroweak form factors and for
parton densities. In particular, we construct a model for the generalized
parton distribution that relates the asymmetry s(x)-sbar(x) between the
longitudinal momentum distributions of strange quarks and antiquarks with the
form factor F1^s(t), which describes the distribution of strangeness in
transverse position space.
| hep-ph | we discuss the phenomenology of strangequark dynamics in the nucleon based on experimental and theoretical results for electroweak form factors and for parton densities in particular we construct a model for the generalized parton distribution that relates the asymmetry sxsbarx between the longitudinal momentum distributions of strange quarks and antiquarks with the form factor f1st which describes the distribution of strangeness in transverse position space | [['we', 'discuss', 'the', 'phenomenology', 'of', 'strangequark', 'dynamics', 'in', 'the', 'nucleon', 'based', 'on', 'experimental', 'and', 'theoretical', 'results', 'for', 'electroweak', 'form', 'factors', 'and', 'for', 'parton', 'densities', 'in', 'particular', 'we', 'construct', 'a', 'model', 'for', 'the', 'generalized', 'parton', 'distribution', 'that', 'relates', 'the', 'asymmetry', 'sxsbarx', 'between', 'the', 'longitudinal', 'momentum', 'distributions', 'of', 'strange', 'quarks', 'and', 'antiquarks', 'with', 'the', 'form', 'factor', 'f1st', 'which', 'describes', 'the', 'distribution', 'of', 'strangeness', 'in', 'transverse', 'position', 'space']] | [-0.05664641503983783, 0.2599568739902997, -0.17163322697437944, 0.14312062081363466, -0.031421456005542525, -0.00925237224215553, 0.02356448459128539, 0.34796822053335963, -0.16014769215077634, -0.23001422372365754, -0.08648278847861562, -0.29309414565149283, -0.031024981216187516, 0.09703275468570018, 0.05399592849056399, 0.0891608249632612, 0.029232073708304336, -0.01151274959187186, -0.09800297751771433, -0.170667880761718, 0.4027016929661234, -0.00879329688928371, 0.2736173825013259, 0.17339339482760618, 0.12374211422034673, 0.07518103729844802, -0.039973345555601614, -0.06593969779963132, -0.1487231451824228, 0.1028841296802201, 0.15438174560577386, 0.07713354243675158, 0.10376314226064891, -0.3825734756473038, -0.13479802428582122, 0.07017621893938335, 0.12084877461061946, 0.10602304014000333, -0.041979899587449694, -0.24334901858062025, 0.03685386533597632, -0.2351820491224764, -0.20243388395165168, -0.14676897128718713, 0.003003253342790736, 0.057255766724073696, -0.3105515477853635, 0.140492202654954, -0.01815927235616578, 0.009514073915188275, -0.03746029310342339, -0.22992386592049446, -0.039693146973611815, 0.04311212053936389, 0.11818318275756956, 0.08132008633886774, 0.11872782838338661, -0.24893038278622998, -0.13377017110940956, 0.41329065804916715, -0.040928047623426195, -0.26328531971999575, 0.0475938256039092, -0.23471312576697934, -0.16101465383101077, 0.0517705137405308, 0.2645257829525878, 0.04534529711282442, -0.15668122870995413, 0.08555591457970588, -0.06234180730664068, 0.1569073446065424, 0.06615015077552507, 0.07284744406148555, 0.2098864425003292, 0.20123090269413615, -0.02215453526300807, 0.08739817830260903, -0.0973622651127655, -0.17427915673229902, -0.4031399928979457, -0.13179178643853418, -0.11714212841812581, 0.05031902495298594, -0.11067700466544862, -0.11566690209188632, 0.4531568593478629, 0.10525462785811951, 0.27709907497323694, 0.0073166635083330295, 0.2845434430572722, 0.09900186688358349, 0.03614489871653773, 0.11170148401565495, 0.2067182618267243, 0.19780649274351106, 0.11837555232295205, -0.26942129238020807, 0.06204166184253399, 0.06842709892976379] |
711.4305 | 2MTF I. The Tully-Fisher Relation in the 2MASS J, H and K Bands | The 2 Micron All-Sky Survey (2MASS) Tully-Fisher Survey (2MTF) aims to
measure Tully-Fisher (TF) distances to all bright inclined spirals in the 2MASS
Redshift Survey (2MRS). Essential to this project is a universal calibration of
the TF relation in the 2MASS J (1.2 um), H (1.6 um) and K (2.2 um) bands. We
present the first bias corrected or universal TF template in these bands. We
find that the slope of the TF relation becomes steeper as the wavelength
increases being close to L \propto v^4 in K-band and L \propto v^3.6 in J and
H-bands. We also investigate the dependence on galaxy morphology showing that
in all three bands the relation is steeper for later type spirals which also
have a dimmer TF zeropoint than earlier type spirals. We correct the final
relation to that for Sc galaxies. Finally we study the scatter from the TF
relation fitting for a width dependent intrinsic scatter which is not found to
vary significantly with wavelength.
| astro-ph | the 2 micron allsky survey 2mass tullyfisher survey 2mtf aims to measure tullyfisher tf distances to all bright inclined spirals in the 2mass redshift survey 2mrs essential to this project is a universal calibration of the tf relation in the 2mass j 12 um h 16 um and k 22 um bands we present the first bias corrected or universal tf template in these bands we find that the slope of the tf relation becomes steeper as the wavelength increases being close to l propto v4 in kband and l propto v36 in j and hbands we also investigate the dependence on galaxy morphology showing that in all three bands the relation is steeper for later type spirals which also have a dimmer tf zeropoint than earlier type spirals we correct the final relation to that for sc galaxies finally we study the scatter from the tf relation fitting for a width dependent intrinsic scatter which is not found to vary significantly with wavelength | [['the', '2', 'micron', 'allsky', 'survey', '2mass', 'tullyfisher', 'survey', '2mtf', 'aims', 'to', 'measure', 'tullyfisher', 'tf', 'distances', 'to', 'all', 'bright', 'inclined', 'spirals', 'in', 'the', '2mass', 'redshift', 'survey', '2mrs', 'essential', 'to', 'this', 'project', 'is', 'a', 'universal', 'calibration', 'of', 'the', 'tf', 'relation', 'in', 'the', '2mass', 'j', '12', 'um', 'h', '16', 'um', 'and', 'k', '22', 'um', 'bands', 'we', 'present', 'the', 'first', 'bias', 'corrected', 'or', 'universal', 'tf', 'template', 'in', 'these', 'bands', 'we', 'find', 'that', 'the', 'slope', 'of', 'the', 'tf', 'relation', 'becomes', 'steeper', 'as', 'the', 'wavelength', 'increases', 'being', 'close', 'to', 'l', 'propto', 'v4', 'in', 'kband', 'and', 'l', 'propto', 'v36', 'in', 'j', 'and', 'hbands', 'we', 'also', 'investigate', 'the', 'dependence', 'on', 'galaxy', 'morphology', 'showing', 'that', 'in', 'all', 'three', 'bands', 'the', 'relation', 'is', 'steeper', 'for', 'later', 'type', 'spirals', 'which', 'also', 'have', 'a', 'dimmer', 'tf', 'zeropoint', 'than', 'earlier', 'type', 'spirals', 'we', 'correct', 'the', 'final', 'relation', 'to', 'that', 'for', 'sc', 'galaxies', 'finally', 'we', 'study', 'the', 'scatter', 'from', 'the', 'tf', 'relation', 'fitting', 'for', 'a', 'width', 'dependent', 'intrinsic', 'scatter', 'which', 'is', 'not', 'found', 'to', 'vary', 'significantly', 'with', 'wavelength']] | [-0.02932228739146234, 0.08110921246939475, -0.10532152463068686, 0.14856701555644822, -0.1366384810620419, -0.11377783954745477, 0.06632485671576521, 0.45174765461919514, -0.18635199042945738, -0.32158583894417414, -0.015215784183699104, -0.3405300954061492, -0.05775594471835974, 0.17464883310192197, -0.03159267084088131, -0.04832105767606508, -0.038693963618886586, -0.11920180620636972, -0.07811839392303316, -0.24729209193511206, 0.2575861490558742, 0.05799706928679015, 0.25337988316690513, -0.0784280687121947, 0.01484378249236814, -0.06344797128453715, -0.12327572239723295, -0.009088869208027041, -0.2623226894626075, 0.017053273875584325, 0.24989957827506815, 0.047355065062619384, 0.19016239212303446, -0.24341797573128487, -0.1235593661088099, 0.10846611901708855, 0.21614808297329924, 0.04321703726422928, 0.011496352610354334, -0.21652083363875224, 0.08070843678717388, -0.1306689654493977, -0.13794417999522965, 0.0708470046044634, 0.14715910786989986, 0.04464660638733199, -0.1791465153787058, 0.1843004679494032, 0.07725625395740769, 0.1424196978133717, -0.12320732037400509, -0.1614700436134959, -0.07976503882886524, 0.06886753788545853, -0.053069504466271254, 0.16172332291792305, 0.1364426818142486, -0.128414558608755, 0.03854619650306498, 0.36135711518638747, -0.10856213186175077, -0.019292988357270453, 0.16902447891174588, -0.200237579329263, -0.14424876305760911, 0.08196476733854335, 0.09502868151587503, 0.024798004039018075, -0.16691690986044705, 0.039314122020519655, -0.0002863046758603759, 0.2677356078290869, 0.05074088301555049, 0.05558264147067547, 0.22840541629291072, 0.08201135491537748, 0.06848327332267129, 0.09290353731513477, -0.2343975195062074, 0.008473994672829398, -0.2785262837778868, -0.10168270743168073, -0.13268642785828333, 0.06422057432108687, -0.09010234869785519, -0.09620367439049182, 0.3324559875763953, 0.11291494900815008, 0.23303610646441328, 0.1470665763566702, 0.2783658320265936, 0.09022288036279993, 0.1582748783112038, 0.09985765602678151, 0.298301038178956, 0.11623800731769468, 0.07533391357595441, -0.2549606635158586, -0.043189138443799825, 0.020029411929455107] |
711.4306 | Shot Noise in Ballistic Graphene | We have investigated shot noise in graphene field effect devices in the
temperature range of 4.2--30 K at low frequency ($f$ = 600--850 MHz). We find
that for our graphene samples with large width over length ratio $W/L$, the
Fano factor $\mathfrak{F}$ reaches a maximum $\mathfrak{F} \sim$ 1/3 at the
Dirac point and that it decreases strongly with increasing charge density. For
smaller $W/L$, the Fano factor at Dirac point is significantly lower. Our
results are in good agreement with the theory describing that transport at the
Dirac point in clean graphene arises from evanescent electronic states.
| cond-mat.mes-hall | we have investigated shot noise in graphene field effect devices in the temperature range of 4230 k at low frequency f 600850 mhz we find that for our graphene samples with large width over length ratio wl the fano factor mathfrakf reaches a maximum mathfrakf sim 13 at the dirac point and that it decreases strongly with increasing charge density for smaller wl the fano factor at dirac point is significantly lower our results are in good agreement with the theory describing that transport at the dirac point in clean graphene arises from evanescent electronic states | [['we', 'have', 'investigated', 'shot', 'noise', 'in', 'graphene', 'field', 'effect', 'devices', 'in', 'the', 'temperature', 'range', 'of', '4230', 'k', 'at', 'low', 'frequency', 'f', '600850', 'mhz', 'we', 'find', 'that', 'for', 'our', 'graphene', 'samples', 'with', 'large', 'width', 'over', 'length', 'ratio', 'wl', 'the', 'fano', 'factor', 'mathfrakf', 'reaches', 'a', 'maximum', 'mathfrakf', 'sim', '13', 'at', 'the', 'dirac', 'point', 'and', 'that', 'it', 'decreases', 'strongly', 'with', 'increasing', 'charge', 'density', 'for', 'smaller', 'wl', 'the', 'fano', 'factor', 'at', 'dirac', 'point', 'is', 'significantly', 'lower', 'our', 'results', 'are', 'in', 'good', 'agreement', 'with', 'the', 'theory', 'describing', 'that', 'transport', 'at', 'the', 'dirac', 'point', 'in', 'clean', 'graphene', 'arises', 'from', 'evanescent', 'electronic', 'states']] | [-0.15503857598983142, 0.18040634129000338, -0.002646603062748909, -0.0035614223550318887, 0.0329832010632871, -0.15990345470705314, 0.08651108497533162, 0.3917259074747562, -0.23780673694257673, -0.30452445906243825, -0.04192379967456585, -0.3632462409668063, -0.1123176995713852, 0.2280226219543501, 0.017993628635610406, -0.0037651101715470616, 0.027153471626929545, -0.00685140145452399, -0.10121123383654967, -0.21005418298667983, 0.29000648045912386, 0.07472733908185833, 0.3281331463275771, 0.09214102188125253, 0.048317079383291696, -0.00530576402027356, 0.07902926277387642, 0.04620368123838776, -0.16781473815016829, -0.006220521290762056, 0.2718274911767558, -0.07210272679007367, 0.22353307993494367, -0.3400951249328883, -0.19622315280997243, 0.030308570193224832, 0.117498781332305, 0.10631855371849318, -0.05163085883189189, -0.23236926556809953, 0.16925796376247154, -0.09890797652892376, -0.13566582356564283, 0.011350263792433236, 0.029250004609409522, -0.037970782110565586, -0.24400370140608987, 0.1364036964350625, -0.001847200527002937, 0.07431281370594853, -0.007782703566542631, -0.19767210488452724, -0.05960486588607493, 0.03889453781180476, 0.0035083178332761715, 0.0734275451763288, 0.20168893979372163, -0.15896470433003024, -0.03293546324987945, 0.3341296394992816, -0.13874505668094284, -0.09668781251499528, 0.14641048568791074, -0.2515770359062835, -0.05956803846516107, 0.23193381624786477, 0.10816019121802559, 0.07025742944035875, -0.06561611115711888, 0.11176949621784794, -0.04457199265322599, 0.1822402839888941, 0.11968588814825604, 0.0937291711341363, 0.2391292692235622, 0.14492200604198793, 0.1068596852036487, 0.08266092996897274, -0.1441430264985875, -0.002906248779771359, -0.2569998404697368, -0.10000820877520662, -0.21097217244218644, 0.12953317075183518, -0.13967136230892624, -0.14842782019098338, 0.39774982294950045, 0.15160852624103427, 0.22799377715411154, 0.04138159458035309, 0.24223393516088101, 0.20778003013692797, 0.08533078661482585, 0.0835616188663009, 0.24904309056552226, 0.1387219428489181, 0.09032584751196401, -0.23505902240592005, -0.03164649568007965, -0.026044129097442095] |
711.4307 | Generation of Large-Scale Magnetic Fields in Single-Field Inflation | We consider the generation of large-scale magnetic fields in slow-roll
inflation. The inflaton field is described in a supergravity framework where
the conformal invariance of the electromagnetic field is generically and
naturally broken. For each class of inflationary scenarios, we determine the
functional dependence of the gauge coupling that is consistent with the
observations on the magnetic field strength at various astrophysical scales
and, at the same time, avoid a back-reaction problem. Then, we study whether
the required coupling functions can naturally emerge in well-motivated,
possibly string-inspired, models. We argue that this is non trivial and can be
realized only for a restricted class of scenarios. This includes power-law
inflation where the inflaton field is interpreted as a modulus. However, this
scenario seems to be consistent only if the energy scale of inflation is low
and the reheating stage prolonged. Another reasonable possibility appears to be
small field models since no back-reaction problem is present in this case but,
unfortunately, the corresponding scenario cannot be justified in a stringy
framework. Finally, large field models do not lead to sensible model building.
| astro-ph gr-qc hep-ph hep-th | we consider the generation of largescale magnetic fields in slowroll inflation the inflaton field is described in a supergravity framework where the conformal invariance of the electromagnetic field is generically and naturally broken for each class of inflationary scenarios we determine the functional dependence of the gauge coupling that is consistent with the observations on the magnetic field strength at various astrophysical scales and at the same time avoid a backreaction problem then we study whether the required coupling functions can naturally emerge in wellmotivated possibly stringinspired models we argue that this is non trivial and can be realized only for a restricted class of scenarios this includes powerlaw inflation where the inflaton field is interpreted as a modulus however this scenario seems to be consistent only if the energy scale of inflation is low and the reheating stage prolonged another reasonable possibility appears to be small field models since no backreaction problem is present in this case but unfortunately the corresponding scenario cannot be justified in a stringy framework finally large field models do not lead to sensible model building | [['we', 'consider', 'the', 'generation', 'of', 'largescale', 'magnetic', 'fields', 'in', 'slowroll', 'inflation', 'the', 'inflaton', 'field', 'is', 'described', 'in', 'a', 'supergravity', 'framework', 'where', 'the', 'conformal', 'invariance', 'of', 'the', 'electromagnetic', 'field', 'is', 'generically', 'and', 'naturally', 'broken', 'for', 'each', 'class', 'of', 'inflationary', 'scenarios', 'we', 'determine', 'the', 'functional', 'dependence', 'of', 'the', 'gauge', 'coupling', 'that', 'is', 'consistent', 'with', 'the', 'observations', 'on', 'the', 'magnetic', 'field', 'strength', 'at', 'various', 'astrophysical', 'scales', 'and', 'at', 'the', 'same', 'time', 'avoid', 'a', 'backreaction', 'problem', 'then', 'we', 'study', 'whether', 'the', 'required', 'coupling', 'functions', 'can', 'naturally', 'emerge', 'in', 'wellmotivated', 'possibly', 'stringinspired', 'models', 'we', 'argue', 'that', 'this', 'is', 'non', 'trivial', 'and', 'can', 'be', 'realized', 'only', 'for', 'a', 'restricted', 'class', 'of', 'scenarios', 'this', 'includes', 'powerlaw', 'inflation', 'where', 'the', 'inflaton', 'field', 'is', 'interpreted', 'as', 'a', 'modulus', 'however', 'this', 'scenario', 'seems', 'to', 'be', 'consistent', 'only', 'if', 'the', 'energy', 'scale', 'of', 'inflation', 'is', 'low', 'and', 'the', 'reheating', 'stage', 'prolonged', 'another', 'reasonable', 'possibility', 'appears', 'to', 'be', 'small', 'field', 'models', 'since', 'no', 'backreaction', 'problem', 'is', 'present', 'in', 'this', 'case', 'but', 'unfortunately', 'the', 'corresponding', 'scenario', 'can', 'not', 'be', 'justified', 'in', 'a', 'stringy', 'framework', 'finally', 'large', 'field', 'models', 'do', 'not', 'lead', 'to', 'sensible', 'model', 'building']] | 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