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708.3949 | Categorification of Wedderburn's basis for \mathbb{C}[S_n] | M. Neunh{\"o}ffer studies in \cite{Ne} a certain basis of $\mathbb{C}[S_n]$
with the origins in \cite{Lu} and shows that this basis is in fact Wedderburn's
basis. In particular, in this basis the right regular representation of $S_n$
decomposes into a direct sum of irreducible representations (i.e. Specht or
cell modules). In the present paper we rediscover essentially the same basis
with a categorical origin coming from projective-injective modules in certain
subcategories of the BGG-category $\mathcal{O}$. An important role in our
arguments is played by the dominant projective module in each of these
categories. As a biproduct of the study of this dominant projective module we
show that {\it Kostant's problem} (\cite{Jo}) has a negative answer for some
simple highest weight module over the Lie algebra $\mathfrak{sl}_4$, which
disproves the general belief that Kostant's problem should have a positive
answer for all simple highest weight modules in type $A$.
| math.RT math.GR | m neunhoffer studies in citene a certain basis of mathbbcs_n with the origins in citelu and shows that this basis is in fact wedderburns basis in particular in this basis the right regular representation of s_n decomposes into a direct sum of irreducible representations ie specht or cell modules in the present paper we rediscover essentially the same basis with a categorical origin coming from projectiveinjective modules in certain subcategories of the bggcategory mathcalo an important role in our arguments is played by the dominant projective module in each of these categories as a biproduct of the study of this dominant projective module we show that it kostants problem citejo has a negative answer for some simple highest weight module over the lie algebra mathfraksl_4 which disproves the general belief that kostants problem should have a positive answer for all simple highest weight modules in type a | [['m', 'neunhoffer', 'studies', 'in', 'citene', 'a', 'certain', 'basis', 'of', 'mathbbcs_n', 'with', 'the', 'origins', 'in', 'citelu', 'and', 'shows', 'that', 'this', 'basis', 'is', 'in', 'fact', 'wedderburns', 'basis', 'in', 'particular', 'in', 'this', 'basis', 'the', 'right', 'regular', 'representation', 'of', 's_n', 'decomposes', 'into', 'a', 'direct', 'sum', 'of', 'irreducible', 'representations', 'ie', 'specht', 'or', 'cell', 'modules', 'in', 'the', 'present', 'paper', 'we', 'rediscover', 'essentially', 'the', 'same', 'basis', 'with', 'a', 'categorical', 'origin', 'coming', 'from', 'projectiveinjective', 'modules', 'in', 'certain', 'subcategories', 'of', 'the', 'bggcategory', 'mathcalo', 'an', 'important', 'role', 'in', 'our', 'arguments', 'is', 'played', 'by', 'the', 'dominant', 'projective', 'module', 'in', 'each', 'of', 'these', 'categories', 'as', 'a', 'biproduct', 'of', 'the', 'study', 'of', 'this', 'dominant', 'projective', 'module', 'we', 'show', 'that', 'it', 'kostants', 'problem', 'citejo', 'has', 'a', 'negative', 'answer', 'for', 'some', 'simple', 'highest', 'weight', 'module', 'over', 'the', 'lie', 'algebra', 'mathfraksl_4', 'which', 'disproves', 'the', 'general', 'belief', 'that', 'kostants', 'problem', 'should', 'have', 'a', 'positive', 'answer', 'for', 'all', 'simple', 'highest', 'weight', 'modules', 'in', 'type', 'a']] | [-0.13904911803058836, 0.03352002525090328, -0.08056476434132645, 0.04371440201473481, -0.092343146505707, -0.10808990084585714, 0.00018638127949088812, 0.3554277475272025, -0.33533890834534086, -0.17176555414273814, 0.0871800410128166, -0.20139975213212485, -0.17386513034213932, 0.18212822535550677, -0.1084977966184578, -0.06900874494047432, 0.10272335905868274, 0.11513098856186742, -0.06328051987794468, -0.268134327904953, 0.4114167295344226, 0.05612313592077031, 0.24906855699169886, 0.03537611109920992, 0.14958329303059859, 0.04072860384138523, -0.02591677416454662, -0.013731893090941532, -0.10376488273470602, 0.14970537408261553, 0.34069380171961716, 0.11884911807410263, 0.28165118093928, -0.35964822590227363, -0.11621410374112844, 0.16633240143944333, 0.1660839511420239, 0.041912882946190666, -0.044512096515667815, -0.2067052702927454, 0.11526018581060055, -0.22179791323801543, -0.08839039711958983, -0.02914995565632736, 0.057788448437553395, -0.022905706807358803, -0.24349388348629009, 0.006311065673671819, 0.1131504602938682, 0.10602649596317873, -0.11878195104076872, -0.16164144977741596, -0.019734490270420284, 0.11314218555954839, -0.04280077339706088, 0.02196427254035574, 0.054779875206181425, -0.14357058915319376, -0.1437575917339304, 0.3573950883245317, -0.04408962320344249, -0.22606227191985695, 0.14212135355789346, -0.18731705950234423, -0.17449429643281794, 0.10404927107925573, 0.06932942927456819, 0.11373087323687554, -0.06697359473047244, 0.14430918283654715, -0.18684180743888124, 0.07723161825581316, 0.08458131129228204, 0.01794932681580328, 0.1913176044067482, 0.13900431035692198, 0.03624128073069651, 0.12982953913588, 0.03182328051490175, 0.0037658380969733626, -0.3517300017777231, -0.23268524088760043, -0.1140207552678323, 0.09791960929680397, -0.08126656595062728, -0.16460668480909474, 0.4383783243153687, 0.1209043025175904, 0.23449104015208241, 0.08175497185650536, 0.21206595510947746, 0.07850341302166869, 0.11069263513704723, 0.022415567638834455, 0.14445714194956888, 0.18401712268571388, -0.006472283387328726, -0.11409805748787533, 0.02472546793743512, 0.16814426289728054] |
708.395 | Noncommutative Minisuperspace Cosmology | We consider the noncommutative minisuperspace classical and quantum
cosmologies.
| hep-th | we consider the noncommutative minisuperspace classical and quantum cosmologies | [['we', 'consider', 'the', 'noncommutative', 'minisuperspace', 'classical', 'and', 'quantum', 'cosmologies']] | [-0.16307885944843292, 0.15901545942243603, -0.09789778768188423, 0.2597746555176046, -0.10579260273112191, -0.2685537238915761, -0.14574224556175372, 0.27453409673439133, -0.2738395581642787, -0.14926205896255043, -0.03395700174021638, -0.22178981653673369, -0.17080802718798319, 0.10568581666383478, -0.15986895892355177, 0.08543043045534028, -0.04020660246411959, 0.01692004522515668, -0.17968615817113054, -0.3663128583640274, 0.4772903811600473, 0.08824025760663466, 0.1848267138314744, -0.1856023313270675, 0.16702792959080803, 0.08957871924050981, -0.08919118448264068, 0.01776552903983328, -0.35359157621860504, -0.022158937942650583, 0.2718336424893803, 0.06696333513698643, 0.19877486013703877, -0.4657558798789978, -0.31237361104124123, 0.20454093772504064, 0.08096810999429888, 0.24529665749933985, 0.03663702588528395, -0.33827070477936005, -0.06377178831543359, -0.2384245990154644, -0.10844745900895861, -0.07738742315106922, -0.09315228917532498, -0.13686424079868528, -0.08393850384487046, 0.1989668481465843, -0.016529080768426258, -0.038255962543189526, -0.0410726818566521, 0.044301089313295156, 0.21011057837555805, -0.058538697039087616, -0.07869025357326286, -0.06334677612822917, 0.12026128654057781, -0.06805232953694132, -0.27872109827068114, 0.5028083903921975, -0.058525783423748284, -0.2602038002676434, 0.0066721998155117035, -0.1501870738963286, -0.16369191888305876, -0.19591378958688843, 0.0189901702105999, 0.1553428570429484, -0.009631343548082642, 0.40859496303083787, 0.002507168385717604, 0.03795753409051233, 0.08135741421331961, 0.09824427041328615, 0.2924831637905704, -0.07986948535674149, -0.017570244872735605, 0.196212290889687, -0.004976382427331474, -0.463434843139516, -0.4261460743016667, -0.20192014508777195, -0.06097983858651585, 0.273872724837727, -0.2798007401207643, -0.2505672259463204, 0.33570486472712624, 0.12794839447855744, 0.05471949600097206, 0.048041946991967656, 0.19836383644077513, 0.12825991130537456, -0.12428070501320893, 0.07598666101694107, 0.21458233147859573, 0.20876835038264593, 0.10883735637697908, -0.22335202950570318, -0.27427564188838005, 0.11033197864890099] |
708.3951 | Gauge Model in D=3, N=5 Harmonic Superspace | We construct the Grassmann-analytic gauge superfields in D=3, N=5 harmonic
superspace using the SO(5)/U(1)xU(1) harmonics. These gauge N=5 superfields
contain an infinite number of bosonic and fermionic fields arising from
decompositions in harmonics and Grassmann coordinates. The bosonic sector of
this supermultiplet includes the gauge field A_m, the additional nongauge
vector field B_m, the scalar field S, two SO(5)-vector scalar fields and an
infinite number of auxiliary fields with SO(5) indices. The nonabelian
Chern-Simons-type action in the N=5 analytic harmonic superspace is
constructed. This action is also invariant with respect to the sixth
supersymmetry realized on the N=5 gauge superfields. The component Lagrangian
describes the scale-invariant nontrivial interactions of the gauge Chern-Simons
field A_m with B_m, S and other basic and auxiliary fields. All auxiliary
fields can be excluded from this Lagrangian.
| hep-th | we construct the grassmannanalytic gauge superfields in d3 n5 harmonic superspace using the so5u1xu1 harmonics these gauge n5 superfields contain an infinite number of bosonic and fermionic fields arising from decompositions in harmonics and grassmann coordinates the bosonic sector of this supermultiplet includes the gauge field a_m the additional nongauge vector field b_m the scalar field s two so5vector scalar fields and an infinite number of auxiliary fields with so5 indices the nonabelian chernsimonstype action in the n5 analytic harmonic superspace is constructed this action is also invariant with respect to the sixth supersymmetry realized on the n5 gauge superfields the component lagrangian describes the scaleinvariant nontrivial interactions of the gauge chernsimons field a_m with b_m s and other basic and auxiliary fields all auxiliary fields can be excluded from this lagrangian | [['we', 'construct', 'the', 'grassmannanalytic', 'gauge', 'superfields', 'in', 'd3', 'n5', 'harmonic', 'superspace', 'using', 'the', 'so5u1xu1', 'harmonics', 'these', 'gauge', 'n5', 'superfields', 'contain', 'an', 'infinite', 'number', 'of', 'bosonic', 'and', 'fermionic', 'fields', 'arising', 'from', 'decompositions', 'in', 'harmonics', 'and', 'grassmann', 'coordinates', 'the', 'bosonic', 'sector', 'of', 'this', 'supermultiplet', 'includes', 'the', 'gauge', 'field', 'a_m', 'the', 'additional', 'nongauge', 'vector', 'field', 'b_m', 'the', 'scalar', 'field', 's', 'two', 'so5vector', 'scalar', 'fields', 'and', 'an', 'infinite', 'number', 'of', 'auxiliary', 'fields', 'with', 'so5', 'indices', 'the', 'nonabelian', 'chernsimonstype', 'action', 'in', 'the', 'n5', 'analytic', 'harmonic', 'superspace', 'is', 'constructed', 'this', 'action', 'is', 'also', 'invariant', 'with', 'respect', 'to', 'the', 'sixth', 'supersymmetry', 'realized', 'on', 'the', 'n5', 'gauge', 'superfields', 'the', 'component', 'lagrangian', 'describes', 'the', 'scaleinvariant', 'nontrivial', 'interactions', 'of', 'the', 'gauge', 'chernsimons', 'field', 'a_m', 'with', 'b_m', 's', 'and', 'other', 'basic', 'and', 'auxiliary', 'fields', 'all', 'auxiliary', 'fields', 'can', 'be', 'excluded', 'from', 'this', 'lagrangian']] | [-0.24086152438016595, 0.29432848181829124, -0.006520695401835724, 0.07739953187297914, -0.11925845952386889, -0.14352334297240474, -0.1238223198104592, 0.32056243974686593, -0.1611784939805782, -0.27458543159553145, 0.04790981021951595, -0.2562623422289657, -0.15772074662408855, 0.052564283399283165, -0.004838349066616953, -0.018666789408542158, -0.07044084695918673, 0.1554166133869295, -0.06689723369362223, -0.33067329840142595, 0.3256241781925855, -0.0857780508177225, 0.18494401404330896, -0.022531434221681867, 0.15754850572715115, 0.03823442551011379, -0.006787026371417004, -0.06944935999146497, -0.05850071097947946, 0.1346021771156626, 0.20771360919132192, 0.0491279085787634, 0.06183404429454055, -0.4201130031413117, -0.18689546317526307, 0.13382886033216418, 0.17372810575649028, 0.11168588532650187, 0.0023158525555329614, -0.2978410001829729, -0.022297566272895926, -0.15622477047145367, -0.17558300444520578, -0.15489828717252313, -0.021974079693530418, -0.0955370004729245, -0.3093349223346413, 0.0596140460420288, 0.026698219605230604, 0.14976416900573486, -0.04563800583173008, -0.13622966651306595, -0.11526973409101714, 0.012554360387572485, 0.14703367309926382, 0.1186797882776794, 0.11936567173981967, -0.22708982425063212, -0.1324769010471339, 0.36543300553665375, -0.1307295581773501, -0.2855950451867525, 0.1266809325564162, -0.1022366121259713, -0.19717042611969648, 0.12814821988748487, 0.0888170579145121, 0.13943668033985435, -0.12200778540108324, 0.30105272874501426, -0.05868899261275696, 0.13680441416944414, 0.10751658825333728, 0.022439734490458354, 0.2295293892019017, -0.033680140156327754, 0.05543113227973353, 0.1408761405713618, 0.028266688012842867, -0.09281720340526266, -0.47311788879681466, -0.15228561261423337, -0.13505522750567125, 0.10040066193413827, -0.16963258019028965, -0.14172416035259186, 0.42416706243746505, 0.11988334521261412, 0.11824069335847343, 0.016425427432034827, 0.2093363982993503, 0.12429146998915677, 0.133887907786136, 0.019650574268181193, 0.20313648768662756, 0.25370334372530845, 0.01440787311758875, -0.22444679129321865, -0.2929350366281678, 0.215185157498056] |
708.3952 | Liftable D_4-Covers | Let k be an algebraically closed field of characteristic p and let G be a
subgroup of Aut(k[[t]]) be a faithful action on a local power series ring over
k. Let R be a discrete valuation ring of characteristic 0 with residue field k.
One asks, whether it is possible to find a faithful action G inside Aut(R[[t]])
which reduces to the given action, i.e. a lift to characteristic 0. We show
that liftable actions exists in the case that G = D_4 and p = 2. In fact we
introduce a family, the supersimple D_4 -actions, which can always be lifted to
characteristic 0.
| math.AG math.NT | let k be an algebraically closed field of characteristic p and let g be a subgroup of autkt be a faithful action on a local power series ring over k let r be a discrete valuation ring of characteristic 0 with residue field k one asks whether it is possible to find a faithful action g inside autrt which reduces to the given action ie a lift to characteristic 0 we show that liftable actions exists in the case that g d_4 and p 2 in fact we introduce a family the supersimple d_4 actions which can always be lifted to characteristic 0 | [['let', 'k', 'be', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'p', 'and', 'let', 'g', 'be', 'a', 'subgroup', 'of', 'autkt', 'be', 'a', 'faithful', 'action', 'on', 'a', 'local', 'power', 'series', 'ring', 'over', 'k', 'let', 'r', 'be', 'a', 'discrete', 'valuation', 'ring', 'of', 'characteristic', '0', 'with', 'residue', 'field', 'k', 'one', 'asks', 'whether', 'it', 'is', 'possible', 'to', 'find', 'a', 'faithful', 'action', 'g', 'inside', 'autrt', 'which', 'reduces', 'to', 'the', 'given', 'action', 'ie', 'a', 'lift', 'to', 'characteristic', '0', 'we', 'show', 'that', 'liftable', 'actions', 'exists', 'in', 'the', 'case', 'that', 'g', 'd_4', 'and', 'p', '2', 'in', 'fact', 'we', 'introduce', 'a', 'family', 'the', 'supersimple', 'd_4', 'actions', 'which', 'can', 'always', 'be', 'lifted', 'to', 'characteristic', '0']] | [-0.23327448987171495, 0.13307222026520718, -0.14358732773286134, -0.02265179291307594, -0.12113871381129368, -0.20806000057589447, -0.011088141682788287, 0.3609112449137881, -0.3771448141646267, -0.21052888210973528, 0.03875576990822533, -0.2121297745725675, -0.09131665374290678, 0.1762979241263232, -0.07962569521421954, -0.1370420325824087, 0.007301390051177823, 0.22880392940253905, -0.05214147809212843, -0.28289263133688064, 0.3129597145068173, -0.07435407738966665, 0.1639193396296094, 0.01805616478149844, 0.08289004400796672, -0.008831701075455339, 0.08790271395430116, 0.05965251895244058, -0.154505984669368, 0.04165796451916051, 0.3212223003553872, 0.10803752825457123, 0.25915506408356204, -0.3346595079684169, -0.18276054153016003, 0.275984947094786, 0.15208570904439628, -0.026183958271389255, 0.0328551396464763, -0.23751385464323777, 0.21387114996404047, -0.18267095175636286, -0.13891133157268978, -0.060492190970384545, 0.15975918020767224, -0.06300930627206765, -0.34543625547522955, -0.03505816494199991, 0.10326273817716554, 0.1603582726773059, -0.04092708520480607, -0.09445305123445716, -0.033376719682744825, 0.06196279838072634, -0.015955974423962804, 0.13880638364647138, 0.09244127895240442, -0.08545156454870312, -0.09632867904804131, 0.39268137180041246, -0.148452105516992, -0.19519977068925037, 0.09541529575063118, -0.20404794929309353, -0.07086491665922769, 0.18278119190236425, 0.10357954313904785, 0.18465850999265318, 0.00426966128963055, 0.22220273560148174, -0.13724479180677693, 0.13982466691736095, 0.049385740513922555, -0.050400324396346466, 0.1974854668980409, 0.025046560961734687, 0.11395861006556263, 0.10036112656148316, 0.009235762120777796, 0.05846419159523534, -0.37393702528817524, -0.16812423029730078, -0.12560586191455622, 0.24550134197135667, -0.06025096227496742, -0.1402936811365261, 0.398488960016777, 0.07500603455487675, 0.19310200770240332, 0.10850971913896501, 0.1693619987915851, 0.09487141359892518, 0.07286928000740044, 0.11323522095393279, 0.004615190245284892, 0.17883136748603665, -0.1363417595120073, -0.2121680327783348, -0.022857229229948012, 0.11815216297302211] |
708.3953 | Taking the Measure of the Universe: Precision Astrometry with SIM
PlanetQuest | Precision astrometry at microarcsecond accuracy has application to a wide
range of astrophysical problems. This paper is a study of the science questions
that can be addressed using an instrument that delivers parallaxes at about 4
microarcsec on targets as faint as V = 20, differential accuracy of 0.6
microarcsec on bright targets, and with flexible scheduling. The science topics
are drawn primarily from the Team Key Projects, selected in 2000, for the Space
Interferometry Mission PlanetQuest (SIM PlanetQuest). We use the capabilities
of this mission to illustrate the importance of the next level of astrometric
precision in modern astrophysics. SIM PlanetQuest is currently in the detailed
design phase, having completed all of the enabling technologies needed for the
flight instrument in 2005. It will be the first space-based long baseline
Michelson interferometer designed for precision astrometry. SIM will contribute
strongly to many astronomical fields including stellar and galactic
astrophysics, planetary systems around nearby stars, and the study of quasar
and AGN nuclei. SIM will search for planets with masses as small as an Earth
orbiting in the `habitable zone' around the nearest stars using differential
astrometry, and could discover many dozen if Earth-like planets are common. It
will be the most capable instrument for detecting planets around young stars,
thereby providing insights into how planetary systems are born and how they
evolve with time. SIM will observe significant numbers of very high- and
low-mass stars, providing stellar masses to 1%, the accuracy needed to
challenge physical models. Using precision proper motion measurements, SIM will
probe the galactic mass distribution and the formation and evolution of the
Galactic halo. (abridged)
| astro-ph | precision astrometry at microarcsecond accuracy has application to a wide range of astrophysical problems this paper is a study of the science questions that can be addressed using an instrument that delivers parallaxes at about 4 microarcsec on targets as faint as v 20 differential accuracy of 06 microarcsec on bright targets and with flexible scheduling the science topics are drawn primarily from the team key projects selected in 2000 for the space interferometry mission planetquest sim planetquest we use the capabilities of this mission to illustrate the importance of the next level of astrometric precision in modern astrophysics sim planetquest is currently in the detailed design phase having completed all of the enabling technologies needed for the flight instrument in 2005 it will be the first spacebased long baseline michelson interferometer designed for precision astrometry sim will contribute strongly to many astronomical fields including stellar and galactic astrophysics planetary systems around nearby stars and the study of quasar and agn nuclei sim will search for planets with masses as small as an earth orbiting in the habitable zone around the nearest stars using differential astrometry and could discover many dozen if earthlike planets are common it will be the most capable instrument for detecting planets around young stars thereby providing insights into how planetary systems are born and how they evolve with time sim will observe significant numbers of very high and lowmass stars providing stellar masses to 1 the accuracy needed to challenge physical models using precision proper motion measurements sim will probe the galactic mass distribution and the formation and evolution of the galactic halo abridged | [['precision', 'astrometry', 'at', 'microarcsecond', 'accuracy', 'has', 'application', 'to', 'a', 'wide', 'range', 'of', 'astrophysical', 'problems', 'this', 'paper', 'is', 'a', 'study', 'of', 'the', 'science', 'questions', 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708.3954 | Non-commutative phase space and its space-time symmetry | First a description of 2+1 dimensional non-commutative(NC) phase space is
presented, where the deformation of the planck constant is given. We find that
in this new formulation, generalized Bopp's shift has a symmetric
representation and one can easily and straightforwardly define the star product
on NC phase space. Then we define non-commutative Lorentz transformations both
on NC space and NC phase space. We also discuss the Poincare symmetry. Finally
we point out that our NC phase space formulation and the NC Lorentz
transformations can be applicable to any even dimensional NC space and NC phase
space.
| hep-th | first a description of 21 dimensional noncommutativenc phase space is presented where the deformation of the planck constant is given we find that in this new formulation generalized bopps shift has a symmetric representation and one can easily and straightforwardly define the star product on nc phase space then we define noncommutative lorentz transformations both on nc space and nc phase space we also discuss the poincare symmetry finally we point out that our nc phase space formulation and the nc lorentz transformations can be applicable to any even dimensional nc space and nc phase space | [['first', 'a', 'description', 'of', '21', 'dimensional', 'noncommutativenc', 'phase', 'space', 'is', 'presented', 'where', 'the', 'deformation', 'of', 'the', 'planck', 'constant', 'is', 'given', 'we', 'find', 'that', 'in', 'this', 'new', 'formulation', 'generalized', 'bopps', 'shift', 'has', 'a', 'symmetric', 'representation', 'and', 'one', 'can', 'easily', 'and', 'straightforwardly', 'define', 'the', 'star', 'product', 'on', 'nc', 'phase', 'space', 'then', 'we', 'define', 'noncommutative', 'lorentz', 'transformations', 'both', 'on', 'nc', 'space', 'and', 'nc', 'phase', 'space', 'we', 'also', 'discuss', 'the', 'poincare', 'symmetry', 'finally', 'we', 'point', 'out', 'that', 'our', 'nc', 'phase', 'space', 'formulation', 'and', 'the', 'nc', 'lorentz', 'transformations', 'can', 'be', 'applicable', 'to', 'any', 'even', 'dimensional', 'nc', 'space', 'and', 'nc', 'phase', 'space']] | [-0.1209462959280548, 0.18932394308891767, -0.10938697445089929, 0.06763475390228753, -0.08185218225601905, -0.10613382370987286, 0.04579372029790344, 0.3680004727987883, -0.2615430195243486, -0.22683851588711454, 0.08984144672649563, -0.17441800295879753, -0.2069606969404655, 0.12794271096936427, -0.07966024907121512, -0.025458096725439344, -0.04686271717461447, 0.04588726035823735, -0.20762104304109621, -0.24759627914560647, 0.3800184112236214, -0.001688273309506864, 0.2773585076938616, -0.027447269632830285, 0.11050163017353043, 0.03294696710751547, -0.023092878283932805, 0.07666048248726536, -0.13617887780204305, 0.07672876798703025, 0.21358162522665225, 0.10408188471531805, 0.10720405714043106, -0.35594088224509807, -0.22666544938692823, 0.134919103521194, 0.12014900446714212, 0.10546671323633443, -0.03582396936690202, -0.3087626903046233, -0.00030564248057392734, -0.17483074146245295, -0.10622241463473377, -0.1404068557555244, 0.026081049361285597, -0.08826954099155652, -0.27290205371779547, -4.3125985939695965e-05, 0.02233161797145537, -0.03664104901448203, -0.07489294493279886, -0.05132048087883353, -0.016982050163884804, 0.03807162064670896, -0.034368346396756046, 0.12015632822779783, 0.10432462780469602, -0.0269786369240137, -0.09348739851945236, 0.44319309915105504, -0.048641180612927805, -0.24312570466039082, 0.1407509113147777, -0.20516373785600686, -0.17386723895227382, 0.09074398351367563, 0.16357253078604117, 0.10668111303433155, -0.06552769284462556, 0.20018559721150572, -0.035683918569702655, 0.17500633220121622, 0.08952008025759521, 0.04147184521813566, 0.1562918478254384, 0.11123871667465816, 0.0867814130615443, 0.1369740189584263, -0.0828330493325969, -0.1511356612027157, -0.40698809612270753, -0.23886946381632393, -0.1333495118888095, 0.060356834069049604, -0.1618944137727946, -0.09203514377198492, 0.31620888245621853, 0.08508703210948927, 0.17619408736936748, 0.02034872938626601, 0.23706436183905075, 0.13200235975697674, 0.06052701182246286, 0.034665464860154316, 0.21670468604618995, 0.1155529174041779, 0.08437752926935597, -0.17692234709344726, -0.07042256193381036, 0.15187995329324622] |
708.3955 | Evolution of geometric structures in intense turbulence | We report measurements of the evolution of lines, planes, and volumes in an
intensely turbulent laboratory flow using high-speed particle tracking. We find
that the classical characteristic time scale of an eddy at the initial scale of
the object considered is the natural time scale for the subsequent evolution.
The initial separation may only be neglected if this time scale is much smaller
than the largest turbulence time scale, implying extremely high turbulence
levels.
| physics.flu-dyn | we report measurements of the evolution of lines planes and volumes in an intensely turbulent laboratory flow using highspeed particle tracking we find that the classical characteristic time scale of an eddy at the initial scale of the object considered is the natural time scale for the subsequent evolution the initial separation may only be neglected if this time scale is much smaller than the largest turbulence time scale implying extremely high turbulence levels | [['we', 'report', 'measurements', 'of', 'the', 'evolution', 'of', 'lines', 'planes', 'and', 'volumes', 'in', 'an', 'intensely', 'turbulent', 'laboratory', 'flow', 'using', 'highspeed', 'particle', 'tracking', 'we', 'find', 'that', 'the', 'classical', 'characteristic', 'time', 'scale', 'of', 'an', 'eddy', 'at', 'the', 'initial', 'scale', 'of', 'the', 'object', 'considered', 'is', 'the', 'natural', 'time', 'scale', 'for', 'the', 'subsequent', 'evolution', 'the', 'initial', 'separation', 'may', 'only', 'be', 'neglected', 'if', 'this', 'time', 'scale', 'is', 'much', 'smaller', 'than', 'the', 'largest', 'turbulence', 'time', 'scale', 'implying', 'extremely', 'high', 'turbulence', 'levels']] | [-0.1744859183861597, 0.22940354790842174, -0.10268074928663319, 0.1016417505011919, -0.0021884304666388277, -0.04402717252299693, -0.07006584291623251, 0.3351181562788583, -0.3037266497424728, -0.34175286718921083, 0.13438449297855432, -0.18693633130877405, -0.008558484823191288, 0.21882711442319575, 0.019861671950894635, 0.052576766606786826, 0.07736082473216024, -0.0028155301319988998, -0.020124562018601275, -0.1951934859798466, 0.3087236536415042, 0.1611482377315091, 0.270762174151133, 0.021716264152043575, 0.12736929823468263, -0.10289836243248067, -0.05974173965561833, 0.04275299457052874, -0.13017350412337692, 0.011163929150112578, 0.1883739362867247, 0.05402979042028656, 0.28015872005473924, -0.47383672175173824, -0.2118323557566524, 0.09482273650418564, 0.18622366209338242, 0.12663474009447806, -0.03667848241339262, -0.2283799065327322, 0.08625475514831173, -0.09691053316645273, -0.11507205872142033, 0.010566660328894048, 0.10895460070035345, -0.0242140198290046, -0.22838841154667977, 0.1444246234982652, 0.007021001659686098, 0.11895536738007355, -0.06524138121765007, -0.06641243398818816, 0.010130705444041538, 0.12238816968542901, 0.05309211026335991, 0.03412508451681886, 0.17546681406580517, -0.16818311066379318, -0.042362829368259455, 0.42090518188637654, -0.07657749831737051, -0.15091400321673704, 0.23038039807028868, -0.2238981829754807, -0.09771886764950044, 0.16434678145860498, 0.18381044814816197, 0.14401784598374287, -0.07760048264203392, 0.02068591389625736, -0.0474311592107689, 0.24369945233637416, 0.04789261839579086, 0.029667984231727552, 0.1966061909003435, 0.2328717581978118, 0.08744114933132723, 0.05841780706494417, -0.17246180925379834, -0.07775435916060028, -0.2855519000440836, -0.15662727480427036, -0.1945691441148016, 0.05306870323555494, -0.10651737603817506, -0.13656974604000915, 0.3579077674956942, 0.18449662006350007, 0.2223813400377293, 0.04845673060422209, 0.2955509369588784, 0.13427812246309995, 0.10438758499819685, 0.1150872838758939, 0.2599949566899119, 0.04345140847805384, 0.1742107293039963, -0.2384018397267052, 0.08418288704234402, 0.02322785429832702] |
708.3956 | The asymptotic behaviour of recurrence coefficients for orthogonal
polynomials with varying exponential weights | We consider orthogonal polynomials $\{p_{n,N}(x)\}_{n=0}^{\infty}$ on the
real line with respect to a weight $w(x)=e^{-NV(x)}$ and in particular the
asymptotic behaviour of the coefficients $a_{n,N}$ and $b_{n,N}$ in the three
term recurrence $x \pi_{n,N}(x) = \pi_{n+1,N}(x) + b_{n,N} \pi_{n,N}(x) +
a_{n,N} \pi_{n-1,N}(x)$. For one-cut regular $V$ we show, using the Deift-Zhou
method of steepest descent for Riemann-Hilbert problems, that the diagonal
recurrence coefficients $a_{n,n}$ and $b_{n,n}$ have asymptotic expansions as
$n \to \infty$ in powers of $1/n^2$ and powers of $1/n$, respectively.
| math.CA math.CV | we consider orthogonal polynomials p_nnx_n0infty on the real line with respect to a weight wxenvx and in particular the asymptotic behaviour of the coefficients a_nn and b_nn in the three term recurrence x pi_nnx pi_n1nx b_nn pi_nnx a_nn pi_n1nx for onecut regular v we show using the deiftzhou method of steepest descent for riemannhilbert problems that the diagonal recurrence coefficients a_nn and b_nn have asymptotic expansions as n to infty in powers of 1n2 and powers of 1n respectively | [['we', 'consider', 'orthogonal', 'polynomials', 'p_nnx_n0infty', 'on', 'the', 'real', 'line', 'with', 'respect', 'to', 'a', 'weight', 'wxenvx', 'and', 'in', 'particular', 'the', 'asymptotic', 'behaviour', 'of', 'the', 'coefficients', 'a_nn', 'and', 'b_nn', 'in', 'the', 'three', 'term', 'recurrence', 'x', 'pi_nnx', 'pi_n1nx', 'b_nn', 'pi_nnx', 'a_nn', 'pi_n1nx', 'for', 'onecut', 'regular', 'v', 'we', 'show', 'using', 'the', 'deiftzhou', 'method', 'of', 'steepest', 'descent', 'for', 'riemannhilbert', 'problems', 'that', 'the', 'diagonal', 'recurrence', 'coefficients', 'a_nn', 'and', 'b_nn', 'have', 'asymptotic', 'expansions', 'as', 'n', 'to', 'infty', 'in', 'powers', 'of', '1n2', 'and', 'powers', 'of', '1n', 'respectively']] | [-0.16793265015728873, 0.057079309584853584, -0.06612152437845321, 0.03807512038763715, -0.018180510705362442, -0.13961800789358478, 0.008342409965722528, 0.36044261034271896, -0.2796440719792696, -0.1375691610275232, 0.11111877294901554, -0.3389199735622292, -0.16051669414027606, 0.1841091284247702, -0.00279941575678244, 0.07096695519779643, 0.017338575910113445, 0.09470633553238968, -0.13255004409687873, -0.26664156913565956, 0.2962987335424309, -0.026503051069807517, 0.19877021790845703, 0.0057143160869201565, 0.10696872543186357, 0.01952812667578867, -0.006844893726201294, -0.049527097978208166, -0.1318749111271918, 0.09341891786109095, 0.2579026792089978, 0.04655439135529203, 0.20929785547395274, -0.35723232079858647, -0.07192413567578139, 0.16077382065202683, 0.22194635992461484, -0.01263947498168133, 0.06704072514389425, -0.20985551145284959, 0.10898357109574933, -0.13330292293789145, -0.19291963692346256, -0.0728571495704659, 0.08767333075608293, 0.12561341266032972, -0.3720289333532118, 0.11024305040705694, 0.06698346622798541, 0.06839581530171204, 0.0019869398300166, -0.22573632184313994, 0.05875959235868634, 0.051126144953990635, 0.08111169581996813, -0.013209643856660552, -0.01454730948101576, -0.09528805577030329, -0.09131965913797079, 0.326988436613385, -0.0927203942651618, -0.21178171736481663, 0.06304708186996309, -0.19703375121055502, -0.15946500844079747, 0.085830614299271, 0.14379501737628694, 0.18577302729532327, -0.0480425586184002, 0.1755361115521662, -0.029687839713304826, 0.10015580717678348, 0.17512495418985005, -0.0067344699884216265, 0.03622190845645454, 0.012157027874371572, 0.04592161161557146, 0.13414977840466857, -0.0366595866292562, -0.0704672730540576, -0.31948258577246375, -0.14489486698086743, -0.1665596499758428, 0.11067709413497415, -0.23270685266470537, -0.17865296593573812, 0.36782774338115976, 0.08280364417611327, 0.24700908383277997, 0.1653942761891713, 0.19632966714362576, 0.19581960825319722, -0.014310620878249, 0.03488229144976972, 0.11336318400930868, 0.20424967968504723, 0.07962406368619979, -0.26373948812586806, -0.02068637251616328, 0.2266178354748512] |
708.3957 | Hyperon decay form factors in chiral perturbation theory | We present a complete calculation of the SU(3)-breaking corrections to the
hyperon vector form factors up to O(p^4) in covariant baryon chiral
perturbation theory. Partial higher-order contributions are obtained, and we
discuss chiral extrapolations of the vector form factor at zero momentum
transfer. In addition we derive low-energy theorems for the subleading moments
in hyperon decays, the weak Dirac radii and the weak anomalous magnetic
moments, up to O(p^4).
| hep-ph hep-ex hep-lat | we present a complete calculation of the su3breaking corrections to the hyperon vector form factors up to op4 in covariant baryon chiral perturbation theory partial higherorder contributions are obtained and we discuss chiral extrapolations of the vector form factor at zero momentum transfer in addition we derive lowenergy theorems for the subleading moments in hyperon decays the weak dirac radii and the weak anomalous magnetic moments up to op4 | [['we', 'present', 'a', 'complete', 'calculation', 'of', 'the', 'su3breaking', 'corrections', 'to', 'the', 'hyperon', 'vector', 'form', 'factors', 'up', 'to', 'op4', 'in', 'covariant', 'baryon', 'chiral', 'perturbation', 'theory', 'partial', 'higherorder', 'contributions', 'are', 'obtained', 'and', 'we', 'discuss', 'chiral', 'extrapolations', 'of', 'the', 'vector', 'form', 'factor', 'at', 'zero', 'momentum', 'transfer', 'in', 'addition', 'we', 'derive', 'lowenergy', 'theorems', 'for', 'the', 'subleading', 'moments', 'in', 'hyperon', 'decays', 'the', 'weak', 'dirac', 'radii', 'and', 'the', 'weak', 'anomalous', 'magnetic', 'moments', 'up', 'to', 'op4']] | [-0.14761497131953744, 0.2303636892280285, -0.040505864596723215, 0.14910612721671013, -0.11270169483875667, -0.04013762188454469, 0.0658461777864537, 0.29076797698718915, -0.20001246208878423, -0.2131957983787077, -0.05814527847594919, -0.3659319675568005, -0.03710428816333845, 0.04258131806441731, 0.12180941588366809, 0.06701929510935493, -0.033581505097664784, 0.07834004389419072, -0.14873632213667684, -0.19434105639980323, 0.355298538847516, -0.01591471927173004, 0.2038819031668422, 0.14638001263897488, 0.019370684359708557, -0.013884469070404337, -0.03797118049924788, -0.0151273174940244, -0.17998486340207898, 0.0918024861923608, 0.21119065320902114, -0.03014272818530815, 0.1289562094092801, -0.42551127022159274, -0.11603441537506338, 0.055550182967082314, 0.1247679925813893, 0.2167167080215354, 0.006653773247439793, -0.2884937022016316, 0.12889784200629895, -0.1830727252366858, -0.22858207284108453, -0.27262654501026956, -0.023562838417896324, -0.05915306878370651, -0.3427198132149119, 0.1381266525696855, 0.02452374892174334, 0.029414584323682862, -0.05262696588465917, -0.2313226844197598, 0.0025770903254548707, 0.07919312095053602, 0.1420138128425764, 0.06844622371853262, 0.12571773927091903, -0.18362233715057644, -0.11431188235545288, 0.378558289570113, -0.12930294042588145, -0.19055276215616343, 0.017055238738818014, -0.22193595275714778, -0.1887109931760832, 0.1461411441905775, 0.21146427966364106, 0.10934003441893171, -0.17636141322715126, 0.12345623457635604, 0.030195263545096353, 0.10551465707291188, 0.10188889570291275, 0.08438622619470824, 0.1842537088508623, 0.05355561578956743, -0.005380252207480911, 0.06366479037788467, -0.06009099010270143, -0.07858502074225765, -0.432669999482839, -0.05789026088904643, -0.07742443334554201, 0.09081790638088748, -0.12278681255681305, -0.15302576271790094, 0.3469458934041145, 0.10393794924965587, 0.19703196217238472, 0.03943775544293981, 0.30915953132553375, 0.1893741931712282, 0.10931533033811096, 0.07097733658535973, 0.32237116285208345, 0.2950731225520966, 0.11439130115626461, -0.2865159343523176, -0.09482337195642185, 0.156596335231502] |
708.3958 | Cruising through molecular bound state manifolds with radio frequency | The emerging field of ultracold molecules with their rich internal structure
is currently attracting a lot of interest. Various methods have been developed
to produce ultracold molecules in pre-set quantum states. For future
experiments it will be important to efficiently transfer these molecules from
their initial quantum state to other quantum states of interest. Optical Raman
schemes are excellent tools for transfer, but can be involved in terms of
equipment, laser stabilization and finding the right transitions. Here we
demonstrate a very general and simple way for transfer of molecules from one
quantum state to a neighboring quantum state with better than 99% efficiency.
The scheme is based on Zeeman tuning the molecular state to avoided level
crossings where radio-frequency transitions can then be carried out. By
repeating this process at different crossings, molecules can be successively
transported through a large manifold of quantum states. As an important
spin-off of our experiments, we demonstrate a high-precision spectroscopy
method for investigating level crossings.
| quant-ph | the emerging field of ultracold molecules with their rich internal structure is currently attracting a lot of interest various methods have been developed to produce ultracold molecules in preset quantum states for future experiments it will be important to efficiently transfer these molecules from their initial quantum state to other quantum states of interest optical raman schemes are excellent tools for transfer but can be involved in terms of equipment laser stabilization and finding the right transitions here we demonstrate a very general and simple way for transfer of molecules from one quantum state to a neighboring quantum state with better than 99 efficiency the scheme is based on zeeman tuning the molecular state to avoided level crossings where radiofrequency transitions can then be carried out by repeating this process at different crossings molecules can be successively transported through a large manifold of quantum states as an important spinoff of our experiments we demonstrate a highprecision spectroscopy method for investigating level crossings | [['the', 'emerging', 'field', 'of', 'ultracold', 'molecules', 'with', 'their', 'rich', 'internal', 'structure', 'is', 'currently', 'attracting', 'a', 'lot', 'of', 'interest', 'various', 'methods', 'have', 'been', 'developed', 'to', 'produce', 'ultracold', 'molecules', 'in', 'preset', 'quantum', 'states', 'for', 'future', 'experiments', 'it', 'will', 'be', 'important', 'to', 'efficiently', 'transfer', 'these', 'molecules', 'from', 'their', 'initial', 'quantum', 'state', 'to', 'other', 'quantum', 'states', 'of', 'interest', 'optical', 'raman', 'schemes', 'are', 'excellent', 'tools', 'for', 'transfer', 'but', 'can', 'be', 'involved', 'in', 'terms', 'of', 'equipment', 'laser', 'stabilization', 'and', 'finding', 'the', 'right', 'transitions', 'here', 'we', 'demonstrate', 'a', 'very', 'general', 'and', 'simple', 'way', 'for', 'transfer', 'of', 'molecules', 'from', 'one', 'quantum', 'state', 'to', 'a', 'neighboring', 'quantum', 'state', 'with', 'better', 'than', '99', 'efficiency', 'the', 'scheme', 'is', 'based', 'on', 'zeeman', 'tuning', 'the', 'molecular', 'state', 'to', 'avoided', 'level', 'crossings', 'where', 'radiofrequency', 'transitions', 'can', 'then', 'be', 'carried', 'out', 'by', 'repeating', 'this', 'process', 'at', 'different', 'crossings', 'molecules', 'can', 'be', 'successively', 'transported', 'through', 'a', 'large', 'manifold', 'of', 'quantum', 'states', 'as', 'an', 'important', 'spinoff', 'of', 'our', 'experiments', 'we', 'demonstrate', 'a', 'highprecision', 'spectroscopy', 'method', 'for', 'investigating', 'level', 'crossings']] | [-0.09761447558627913, 0.17877589790863746, -0.07359235383926627, 0.04065656798493477, -0.02460561824652056, -0.18150965113158304, 0.08513672366726821, 0.41553873423900867, -0.2645390776250465, -0.3146175945861794, 0.05912091103411153, -0.24939617990619606, -0.10670838326095017, 0.24759029968135796, 0.011909393760387176, 0.0878422790513098, 0.11313391632090013, 0.003009582314939227, -0.03132819547605367, -0.21913994595920092, 0.2815235436514572, 0.08658269851038773, 0.2748863007442129, 0.06693470785983574, 0.08548323262517375, -0.06225711195859023, 0.07285540930518628, -0.026755116213067077, -0.08149363827603484, 0.16023892089099348, 0.3207349907549351, 0.0660147196110223, 0.2606225297915646, -0.47970306877920654, -0.24195344214626577, 0.08536920390080338, 0.1747881580175786, 0.19923203918266535, -0.07436574703832674, -0.3189187610556406, 0.03770543388658732, -0.15882374567301644, -0.09837682659875739, -0.16283857885512443, -0.012099803670059407, 0.014092355846559606, -0.2369337859150327, 0.0016560343260888333, -0.015381298870147194, 0.08972784299633385, -0.006287086894448249, -0.10931298513012869, -0.006488335016327278, 0.15485486901871123, -0.04743207436084408, 0.030750338081917208, 0.1606273551264571, -0.1398303436063644, -0.14347767406200737, 0.38596841194063286, -0.04811467862744416, -0.1750055989537986, 0.21991632200697045, -0.12363398050670915, -0.11726049107591403, 0.1471650462244051, 0.1429397960388918, 0.140032476292101, -0.10867026114849271, 0.024779161525298094, 0.017956975899222825, 0.15988166080493146, 0.05819622100112431, 0.08250627682700949, 0.2603702725221713, 0.13816945817620482, 0.05949555642839613, 0.15128215019667327, -0.10148324130568653, -0.13989711185503337, -0.2293495642794526, -0.18343028476437334, -0.196564451524022, 0.0827930849736282, 0.010408271992482808, -0.09622995729592664, 0.3938009196851375, 0.12186174445935054, 0.18992954363218612, -0.0750118649929739, 0.3105022247167833, 0.1219839853634138, 0.05729416902406992, 0.011849233458094575, 0.24138409482246195, 0.11611832653166565, 0.041676813983760864, -0.23504268242057735, 0.04266674145998686, -0.00634868261921737] |
708.3959 | Surface Plasmon Polariton Self-Focusing by Ponderomotive Forces | Nonlinear properties of Surface Plasmon Polaritons stemming from the inherent
electron plasma nonlinearity of the metal layers are investigated. A
fluid-mechanics plasma model is used to describe the electron motion in metals.
The nonlinear ponderomotive force repels the electrons from the high field
intensity region, effectively reducing the local plasma frequency and the
corresponding real part of the refractive index results in Kerr like
self-focusing. The field confinement to the low carrier density region also
assists also in reducing the propagation losses, which usually inhibit
practical nanoplasmonic circuits. Surface plasmon self focusing and nonlinear
spectrum modifications, predicted by our model, are demonstrated by preliminary
experiments.
| physics.optics | nonlinear properties of surface plasmon polaritons stemming from the inherent electron plasma nonlinearity of the metal layers are investigated a fluidmechanics plasma model is used to describe the electron motion in metals the nonlinear ponderomotive force repels the electrons from the high field intensity region effectively reducing the local plasma frequency and the corresponding real part of the refractive index results in kerr like selffocusing the field confinement to the low carrier density region also assists also in reducing the propagation losses which usually inhibit practical nanoplasmonic circuits surface plasmon self focusing and nonlinear spectrum modifications predicted by our model are demonstrated by preliminary experiments | [['nonlinear', 'properties', 'of', 'surface', 'plasmon', 'polaritons', 'stemming', 'from', 'the', 'inherent', 'electron', 'plasma', 'nonlinearity', 'of', 'the', 'metal', 'layers', 'are', 'investigated', 'a', 'fluidmechanics', 'plasma', 'model', 'is', 'used', 'to', 'describe', 'the', 'electron', 'motion', 'in', 'metals', 'the', 'nonlinear', 'ponderomotive', 'force', 'repels', 'the', 'electrons', 'from', 'the', 'high', 'field', 'intensity', 'region', 'effectively', 'reducing', 'the', 'local', 'plasma', 'frequency', 'and', 'the', 'corresponding', 'real', 'part', 'of', 'the', 'refractive', 'index', 'results', 'in', 'kerr', 'like', 'selffocusing', 'the', 'field', 'confinement', 'to', 'the', 'low', 'carrier', 'density', 'region', 'also', 'assists', 'also', 'in', 'reducing', 'the', 'propagation', 'losses', 'which', 'usually', 'inhibit', 'practical', 'nanoplasmonic', 'circuits', 'surface', 'plasmon', 'self', 'focusing', 'and', 'nonlinear', 'spectrum', 'modifications', 'predicted', 'by', 'our', 'model', 'are', 'demonstrated', 'by', 'preliminary', 'experiments']] | [-0.09526916317242597, 0.19728768920148945, -0.02375047914683819, 0.054337434203452654, -0.05378705903311216, -0.12414978702242176, -0.012783225993847564, 0.39143616489711264, -0.2518150234240152, -0.29444456605152003, -0.004488108093140736, -0.29702443311966603, -0.16524794842338278, 0.23440053500678568, 0.0036081292040069544, 0.0657544705129805, -0.017416636753339498, -0.06422057341606845, -0.0026431794544415814, -0.12979071956305277, 0.2893517318846924, 0.10581071455741213, 0.3534386288773801, 0.11351014304950478, 0.06273754179211599, -0.005641053359778154, 0.019364812469021195, 0.00434602816101341, -0.08688905959341875, 0.08111218623816967, 0.21739248253759882, -0.0512131397235429, 0.25303319740508284, -0.49115263272431636, -0.3224897626343937, -0.009690164025163367, 0.1462979648240088, 0.13936727891698303, -0.10593342267730761, -0.28970705633761273, -0.008001096890629491, -0.11688768053870825, -0.16314480340196974, -0.020148007882138094, -0.02653311932171207, 0.05446862786830891, -0.26187595895358495, 0.08682275294891692, 0.06139421359236751, 0.018400742723384784, -0.06265680499463563, -0.05935711831830087, -0.07312270219526476, 0.0572991350887432, 0.045412719875041925, 0.00383520660522793, 0.24373856465820046, -0.1766733095626391, -0.04671416725919005, 0.38517164769804196, -0.08194360880107047, -0.16035984712209375, 0.18550129578936667, -0.21444266843027435, 0.05370825293163459, 0.2247803468922419, 0.20762880037405662, 0.0724168060547007, -0.10519422558801515, 0.0698959517350886, 0.03301325054018803, 0.16874705956184438, 0.10679984315786334, 0.07449290116894103, 0.22203456285808768, 0.15076644285360263, 0.00781974485587506, 0.12122933033277236, -0.1084285319428004, -0.00030391098754036996, -0.24397233140216917, -0.11909841477338756, -0.1793722470047041, -0.014009663289678948, -0.09343099484325475, -0.16712792207531277, 0.4317400107603698, 0.13580238255006927, 0.13400600784946057, -0.06720561227162501, 0.3390119413845241, 0.17729679537116594, 0.055860926259802435, 0.050970153302131664, 0.310191863615598, 0.17477113792362312, 0.12205482421531563, -0.31212914084926957, -0.0125680953619026, 0.03239175534496705] |
708.396 | Quantum indirect estimation theory and joint estimate of all moments of
two incompatible observables | We introduce the quantum indirect estimation theory, which provides a general
framework to address the problem of which ensemble averages can be estimated by
means of an available set of measuring apparatuses, e. g. estimate the ensemble
average of an observable by measuring other observable. A main ingredient in
this approach is that of informationally complete (infocomplete in short)
measurements, which allow to estimate the ensemble average of any arbitrary
system operator, as for quantum tomography. This naturally leads to the more
stringent concept of AB-informationally complete measurements, by which one can
estimate jointly all the moments of two incompatible observables A and B. After
analyzing all general properties of such measurements, we address the problem
of their optimality, and we completely solve the case of qubits, showing that a
sigma_x sigma_y-infocomplete measurement is less noisy than any infocomplete
one. We will also discuss the relation between the concept of
AB-infocompleteness and the notion of joint measurement of observables A and B.
| quant-ph | we introduce the quantum indirect estimation theory which provides a general framework to address the problem of which ensemble averages can be estimated by means of an available set of measuring apparatuses e g estimate the ensemble average of an observable by measuring other observable a main ingredient in this approach is that of informationally complete infocomplete in short measurements which allow to estimate the ensemble average of any arbitrary system operator as for quantum tomography this naturally leads to the more stringent concept of abinformationally complete measurements by which one can estimate jointly all the moments of two incompatible observables a and b after analyzing all general properties of such measurements we address the problem of their optimality and we completely solve the case of qubits showing that a sigma_x sigma_yinfocomplete measurement is less noisy than any infocomplete one we will also discuss the relation between the concept of abinfocompleteness and the notion of joint measurement of observables a and b | [['we', 'introduce', 'the', 'quantum', 'indirect', 'estimation', 'theory', 'which', 'provides', 'a', 'general', 'framework', 'to', 'address', 'the', 'problem', 'of', 'which', 'ensemble', 'averages', 'can', 'be', 'estimated', 'by', 'means', 'of', 'an', 'available', 'set', 'of', 'measuring', 'apparatuses', 'e', 'g', 'estimate', 'the', 'ensemble', 'average', 'of', 'an', 'observable', 'by', 'measuring', 'other', 'observable', 'a', 'main', 'ingredient', 'in', 'this', 'approach', 'is', 'that', 'of', 'informationally', 'complete', 'infocomplete', 'in', 'short', 'measurements', 'which', 'allow', 'to', 'estimate', 'the', 'ensemble', 'average', 'of', 'any', 'arbitrary', 'system', 'operator', 'as', 'for', 'quantum', 'tomography', 'this', 'naturally', 'leads', 'to', 'the', 'more', 'stringent', 'concept', 'of', 'abinformationally', 'complete', 'measurements', 'by', 'which', 'one', 'can', 'estimate', 'jointly', 'all', 'the', 'moments', 'of', 'two', 'incompatible', 'observables', 'a', 'and', 'b', 'after', 'analyzing', 'all', 'general', 'properties', 'of', 'such', 'measurements', 'we', 'address', 'the', 'problem', 'of', 'their', 'optimality', 'and', 'we', 'completely', 'solve', 'the', 'case', 'of', 'qubits', 'showing', 'that', 'a', 'sigma_x', 'sigma_yinfocomplete', 'measurement', 'is', 'less', 'noisy', 'than', 'any', 'infocomplete', 'one', 'we', 'will', 'also', 'discuss', 'the', 'relation', 'between', 'the', 'concept', 'of', 'abinfocompleteness', 'and', 'the', 'notion', 'of', 'joint', 'measurement', 'of', 'observables', 'a', 'and', 'b']] | [-0.11224542762717131, 0.13811991298678747, -0.09042792608160644, 0.0580861232455547, -0.02993586905312481, -0.13608608539898398, 0.05226309945106886, 0.3261089856057149, -0.2654662620466036, -0.3164380097370239, 0.10348802442650554, -0.2663535627411904, -0.11231698764296795, 0.2042390569617414, -0.05198452938763294, 0.06474508647362043, 0.08394501310814718, 0.05496661085519564, -0.11214158565523756, -0.20501279768498412, 0.3321240233631128, 0.05785258391213598, 0.24753360858388768, 0.03789852556007303, 0.12646467703436115, 0.060542827334171934, -0.06038666754415271, 0.05365276739081356, -0.1191025971243889, 0.1641780004249352, 0.23017332480128877, 0.17875361512563412, 0.26742735974324544, -0.38347210553563704, -0.1812255467246672, 0.16714946188590235, 0.10335672985477622, 0.1263843869129018, 0.015979212697926806, -0.2784143423967087, 0.08088720088622942, -0.1569287421858045, -0.10244351834396885, -0.08359349242435282, 0.007280879081553145, -0.02692702090201579, -0.3059088312227362, 0.0836305585702819, 0.07710520743991539, 0.03269726773101101, -0.04768132633725359, -0.06548318195462251, 0.04806609019921843, 0.1404832976226618, -0.01823056420121508, 0.01888494499051457, 0.11292697048514702, -0.08848108670853708, -0.13389018582251327, 0.3751719039953818, -0.06684192163755918, -0.204388101825455, 0.127832941666459, -0.1533227086417187, -0.12987788675269882, 0.04585174618549882, 0.1525795305159631, 0.15098428572557723, -0.20293421963834837, 0.03457585051744749, -0.05883520343441036, 0.14472187671715478, 0.00656193520897513, 0.07898996038596698, 0.19085716534477132, 0.11861732734551143, 0.11779641061368737, 0.13261458702099208, -0.06337201369297542, -0.0557718123457614, -0.33381051211884827, -0.1773549821109149, -0.19435161553993585, 0.08267904117786486, -0.08207681411647409, -0.13287991298077878, 0.3911754073675983, 0.18950786365709227, 0.23599314809462446, 0.031101312107187074, 0.31084648928468583, 0.12809673624617793, 0.035662626765689154, 0.03159262803175552, 0.2372427806020922, 0.15990966138916363, 0.013230028998990584, -0.20507281486413614, 0.09261284861120449, 0.03278446740435235] |
708.3961 | Chess, Chance and Conspiracy | Chess and chance are seemingly strange bedfellows. Luck and/or randomness
have no apparent role in move selection when the game is played at the highest
levels. However, when competition is at the ultimate level, that of the World
Chess Championship (WCC), chess and conspiracy are not strange bedfellows,
there being a long and colorful history of accusations levied between
participants. One such accusation, frequently repeated, was that all the games
in the 1985 WCC (Karpov vs Kasparov) were fixed and prearranged move by move.
That this claim was advanced by a former World Champion, Bobby Fischer, argues
that it ought be investigated. That the only published, concrete basis for this
claim consists of an observed run of particular moves, allows this
investigation to be performed using probabilistic and statistical methods. In
particular, we employ imbedded finite Markov chains to evaluate run statistic
distributions. Further, we demonstrate how both chess computers and game data
bases can be brought to bear on the problem.
| stat.ME | chess and chance are seemingly strange bedfellows luck andor randomness have no apparent role in move selection when the game is played at the highest levels however when competition is at the ultimate level that of the world chess championship wcc chess and conspiracy are not strange bedfellows there being a long and colorful history of accusations levied between participants one such accusation frequently repeated was that all the games in the 1985 wcc karpov vs kasparov were fixed and prearranged move by move that this claim was advanced by a former world champion bobby fischer argues that it ought be investigated that the only published concrete basis for this claim consists of an observed run of particular moves allows this investigation to be performed using probabilistic and statistical methods in particular we employ imbedded finite markov chains to evaluate run statistic distributions further we demonstrate how both chess computers and game data bases can be brought to bear on the problem | [['chess', 'and', 'chance', 'are', 'seemingly', 'strange', 'bedfellows', 'luck', 'andor', 'randomness', 'have', 'no', 'apparent', 'role', 'in', 'move', 'selection', 'when', 'the', 'game', 'is', 'played', 'at', 'the', 'highest', 'levels', 'however', 'when', 'competition', 'is', 'at', 'the', 'ultimate', 'level', 'that', 'of', 'the', 'world', 'chess', 'championship', 'wcc', 'chess', 'and', 'conspiracy', 'are', 'not', 'strange', 'bedfellows', 'there', 'being', 'a', 'long', 'and', 'colorful', 'history', 'of', 'accusations', 'levied', 'between', 'participants', 'one', 'such', 'accusation', 'frequently', 'repeated', 'was', 'that', 'all', 'the', 'games', 'in', 'the', '1985', 'wcc', 'karpov', 'vs', 'kasparov', 'were', 'fixed', 'and', 'prearranged', 'move', 'by', 'move', 'that', 'this', 'claim', 'was', 'advanced', 'by', 'a', 'former', 'world', 'champion', 'bobby', 'fischer', 'argues', 'that', 'it', 'ought', 'be', 'investigated', 'that', 'the', 'only', 'published', 'concrete', 'basis', 'for', 'this', 'claim', 'consists', 'of', 'an', 'observed', 'run', 'of', 'particular', 'moves', 'allows', 'this', 'investigation', 'to', 'be', 'performed', 'using', 'probabilistic', 'and', 'statistical', 'methods', 'in', 'particular', 'we', 'employ', 'imbedded', 'finite', 'markov', 'chains', 'to', 'evaluate', 'run', 'statistic', 'distributions', 'further', 'we', 'demonstrate', 'how', 'both', 'chess', 'computers', 'and', 'game', 'data', 'bases', 'can', 'be', 'brought', 'to', 'bear', 'on', 'the', 'problem']] | [-0.06271025510914859, 0.11937649657229714, -0.1300088281387393, 0.11395812519231471, -0.07555169894934029, -0.15814045220672054, 0.08620920014983546, 0.39481628801872803, -0.22317128985792212, -0.34849087210992974, 0.10286138469789692, -0.29910886269101195, -0.11409364962282609, 0.1343294488025958, -0.09936931832406506, -0.012575086507852535, 0.08457994400435742, 0.019006739593105122, 0.03729473885131192, -0.31121965234809257, 0.30028046147001664, 0.055302387274766586, 0.2630025514711936, 0.026176812105999567, 0.0683430714997479, -0.003901005479501291, -0.03828832016761397, 0.05845449526600961, -0.07969903931100948, 0.06197971251936711, 0.27921212694912256, 0.18214594043275845, 0.34478623432007693, -0.4396106513603678, -0.13354324801102332, 0.1395722492451563, 0.11258303767374758, 0.08465821666162719, -0.027908307831857423, -0.2782137909517536, 0.0774916605262449, -0.1719605288918221, -0.08436983584392664, -0.06245712802376387, 0.05041954881341765, 0.007562771886909299, -0.20132226063782033, -0.005464318668932519, 0.06702888406133689, 0.0881464065304436, 0.013741738180140819, -0.13580891166655523, -0.01826332555498061, 0.19297673925061845, 0.033440631435036006, 0.041239736223360524, 0.10707551263179044, -0.10896935667098558, -0.19446018574841367, 0.3635477322218178, -0.023008623116491538, -0.1420337313598713, 0.19601628851473518, -0.14414951498049117, -0.16705602967713332, 0.08095063332983721, 0.10662249622371563, 0.08420445486455101, -0.11527841186913099, 0.05832165687377184, -0.08857441930182325, 0.18640152209529173, 0.11852094895973708, -0.04021763555638187, 0.21226901886691837, 0.15556244763293825, 0.03112936152420563, 0.10676952851892291, -0.027725714983699738, -0.1566120858476995, -0.22590939966528295, -0.15289823325210303, -0.15392245297611593, 0.018923125304548954, -0.03660346459800161, -0.1258072488906108, 0.29661654875139304, 0.16310057267048778, 0.1389978660501938, 0.029413983423508844, 0.24333337805696628, 0.07038523024240942, 0.05434979409427505, 0.071285496730908, 0.2365903183287039, 0.051557594707452414, 0.11818395139731513, -0.16070675561145978, 0.12812141206338065, 0.026919321206734376] |
708.3962 | A course on Combinatorial Algorithms | The paper presents a course on Combinatorial Algorithms that is based on the
drafts of the author that he used while teaching the course in the Department
of Informatics and Applied Mathematics of Yerevan State University, Armenia
from February 2007 to June 2007.
| cs.DM | the paper presents a course on combinatorial algorithms that is based on the drafts of the author that he used while teaching the course in the department of informatics and applied mathematics of yerevan state university armenia from february 2007 to june 2007 | [['the', 'paper', 'presents', 'a', 'course', 'on', 'combinatorial', 'algorithms', 'that', 'is', 'based', 'on', 'the', 'drafts', 'of', 'the', 'author', 'that', 'he', 'used', 'while', 'teaching', 'the', 'course', 'in', 'the', 'department', 'of', 'informatics', 'and', 'applied', 'mathematics', 'of', 'yerevan', 'state', 'university', 'armenia', 'from', 'february', '2007', 'to', 'june', '2007']] | [0.05188277537046477, 0.03615429213400497, -0.18131262111629165, 0.011063465905419095, -0.13071452115857324, -0.09035825368753353, 0.062231232566477425, 0.27104258145270654, -0.15481973902950452, -0.4229915264214194, 0.1498260848240407, -0.2524634520414957, -0.15494507265298865, 0.23914783933134967, -0.19391332291673088, -0.018628350383233884, 0.15118385914734803, 0.011451490613263707, 0.0121169203412137, -0.3721322972587375, 0.28216932326295346, 0.1341155903457209, 0.34788824340631797, 0.03644904543559045, 0.1332648851540546, 0.0620111346374764, -0.06151831830136998, -0.07491741294777671, -0.09537015076311099, 0.1482310403398303, 0.3541831055352854, 0.2096464695885431, 0.3506315857778455, -0.42877416412324404, -0.07930323942889307, -0.005073767729363469, -0.02005019684343837, 0.05033023069006239, 0.002355820472287231, -0.3617560767330403, -0.04641167245545359, -0.1990921172898176, -0.04349511628970504, 0.059038949177362195, 0.08030013921995495, 0.010137711130461633, -0.1477489656400542, 0.012718758199277312, 0.04417268253408026, 0.2266861458937096, -0.04503440449750701, -0.21233741934736108, 0.02546123976191116, 0.19093214029576197, 0.003607087763199626, 0.0719489949148928, 0.07252396404916464, -0.10091086560291736, -0.2083290574075871, 0.34742945649249607, 0.014665891394712204, 0.03985155775850682, 0.2061775846807503, -0.11075137737531994, -0.22391018062440116, 0.0923016288772572, 0.27873836345104286, 0.08575576172361887, -0.1376375618910547, 0.16118886633532467, -0.030037591320484183, 0.1858931743583187, 0.09240625770545977, -0.1596376046668305, 0.14022496002617962, 0.09954590458682804, -0.012659105580559996, 0.09678621109315129, -0.08123120599491306, -0.10149554388467656, -0.29475700045221076, -0.20274123727062413, -0.1835659829585618, 0.03466191435189441, 0.10821380722911779, -0.08417213900924422, 0.4562993489725645, 0.14596126835013545, 0.03669982578951952, -0.07437986542665681, 0.17171246073273724, 0.05654688871487282, -0.056695899557928704, 0.16066615442680413, 0.24530503460812533, 0.1240675579973085, 0.3223805770895249, -0.11846705795222418, 0.06512022606465359, 0.1306590644945932] |
708.3963 | Localization of light in a lamellar structure with left-handed medium :
the light wheel | The contra-directional coupling between a left-handed monomode waveguide and
a right-handed monomode waveguide is rigorously studied using a complex plane
analysis. Light is shown to rotate in this lamellar structure forming a very
exotic mode which we have called a light wheel. The light wheel can be excited
using evanescent coupling or by placing sources in one of the waveguides. This
structure can thus be seen as a new type of cavity. It is a way to suppress the
guided mode of a dielectric slab.
| physics.optics | the contradirectional coupling between a lefthanded monomode waveguide and a righthanded monomode waveguide is rigorously studied using a complex plane analysis light is shown to rotate in this lamellar structure forming a very exotic mode which we have called a light wheel the light wheel can be excited using evanescent coupling or by placing sources in one of the waveguides this structure can thus be seen as a new type of cavity it is a way to suppress the guided mode of a dielectric slab | [['the', 'contradirectional', 'coupling', 'between', 'a', 'lefthanded', 'monomode', 'waveguide', 'and', 'a', 'righthanded', 'monomode', 'waveguide', 'is', 'rigorously', 'studied', 'using', 'a', 'complex', 'plane', 'analysis', 'light', 'is', 'shown', 'to', 'rotate', 'in', 'this', 'lamellar', 'structure', 'forming', 'a', 'very', 'exotic', 'mode', 'which', 'we', 'have', 'called', 'a', 'light', 'wheel', 'the', 'light', 'wheel', 'can', 'be', 'excited', 'using', 'evanescent', 'coupling', 'or', 'by', 'placing', 'sources', 'in', 'one', 'of', 'the', 'waveguides', 'this', 'structure', 'can', 'thus', 'be', 'seen', 'as', 'a', 'new', 'type', 'of', 'cavity', 'it', 'is', 'a', 'way', 'to', 'suppress', 'the', 'guided', 'mode', 'of', 'a', 'dielectric', 'slab']] | [-0.16337729789289263, 0.22107173613656092, -0.09449595342225889, 0.002175335445003036, -0.14195133123327705, -0.19340382645673612, 0.026946058421505287, 0.46238995619556483, -0.25285295928444934, -0.25762313175467116, 0.07453443289953558, -0.25319837749771335, -0.14251053976716802, 0.19341980468426995, 0.027369819559595165, -0.008964014064301463, 0.0255403222187477, -0.034109257468405894, 0.01651079979560831, -0.11254527471850023, 0.24770648277857724, 0.001356406296219896, 0.2548519739662023, 0.026586965789251467, 0.08012385436278932, -0.008578460584120715, 0.09345109458355343, 0.003456626766744782, -0.04973098820842364, 0.12197426257600241, 0.19997904712115142, -0.014485359789036653, 0.20869579182061201, -0.41173224074437337, -0.21396142112858155, 0.051097365370129835, 0.2067688486593611, 0.14470593559363967, -0.07651013166588895, -0.29703744325567694, 0.03023791335084859, -0.10785172065336476, -0.1854973292142591, -0.008587000091724537, -0.05745604027281789, -0.03258011734441799, -0.2734629863558118, -0.01960829253691961, 0.05109407340779024, -0.0005688711124307969, 0.03883214212324032, -0.007032335001756164, -0.06704410750638036, 0.045902923804105204, -0.0029796464998713313, 0.03650177906760398, 0.13450779709417154, -0.10872207251377404, -0.0901591225691578, 0.4078192507957711, -0.0926186247893116, -0.21516218351967195, 0.13622407170067377, -0.12560973604593206, 0.003018122604664634, 0.15207254437401013, 0.19962895215105483, 0.117556213639567, -0.1399809031158357, 0.026625665747697518, -0.07384994186680106, 0.21776208246455472, 0.17594137081109426, 0.06825436976026086, 0.2888452877564465, 0.22028779293520048, 0.020020150217939826, 0.1892987505888895, -0.09083671529558213, -0.014583214473746279, -0.258533954168396, -0.1657489148023374, -0.15513106564621387, 0.035181726429008825, -0.04758495107166442, -0.1771417663545649, 0.4291580597048297, 0.031401742764693846, 0.17132251372232157, -0.05931237320114365, 0.31003948143299886, 0.11135693622944767, 0.14775840024847317, 0.0480714109753642, 0.375223490080851, 0.20218516169937656, 0.08063333544003613, -0.21252029062084415, -0.008552938990075799, -0.007217014509746257] |
708.3964 | Separation of the strain and finite size effect on the ferromagnetic
properties of La_{0.5}Sr_{0.5}CoO_3 thin films | The ferromagnetic properties of epitaxial La$_{0.5}$Sr$_{0.5}$CoO$_3$ thin
films have been studied. The magnetic transition is affected by both strain and
finite thickness. We have used a series of films of different thickness and on
different substrates in order to quantitatively determine the change in Curie
temperature contributed by each effect. The phase diagram of T$_C$ versus
in-plane strain suggests that the ferromagnetic transition temperature is
suppressed by tensile strain and enhanced by compressive strain. The general
method of separating strain and finite thickness effects should be applicable
to any ordering phase transition in thin films.
| cond-mat.mtrl-sci | the ferromagnetic properties of epitaxial la_05sr_05coo_3 thin films have been studied the magnetic transition is affected by both strain and finite thickness we have used a series of films of different thickness and on different substrates in order to quantitatively determine the change in curie temperature contributed by each effect the phase diagram of t_c versus inplane strain suggests that the ferromagnetic transition temperature is suppressed by tensile strain and enhanced by compressive strain the general method of separating strain and finite thickness effects should be applicable to any ordering phase transition in thin films | [['the', 'ferromagnetic', 'properties', 'of', 'epitaxial', 'la_05sr_05coo_3', 'thin', 'films', 'have', 'been', 'studied', 'the', 'magnetic', 'transition', 'is', 'affected', 'by', 'both', 'strain', 'and', 'finite', 'thickness', 'we', 'have', 'used', 'a', 'series', 'of', 'films', 'of', 'different', 'thickness', 'and', 'on', 'different', 'substrates', 'in', 'order', 'to', 'quantitatively', 'determine', 'the', 'change', 'in', 'curie', 'temperature', 'contributed', 'by', 'each', 'effect', 'the', 'phase', 'diagram', 'of', 't_c', 'versus', 'inplane', 'strain', 'suggests', 'that', 'the', 'ferromagnetic', 'transition', 'temperature', 'is', 'suppressed', 'by', 'tensile', 'strain', 'and', 'enhanced', 'by', 'compressive', 'strain', 'the', 'general', 'method', 'of', 'separating', 'strain', 'and', 'finite', 'thickness', 'effects', 'should', 'be', 'applicable', 'to', 'any', 'ordering', 'phase', 'transition', 'in', 'thin', 'films']] | [-0.13538780284947471, 0.2773850969798667, -0.04134163312417896, -0.0630530572520863, -0.03350988251990394, -0.11864816747899902, 0.07777516561511316, 0.4703760185524037, -0.29538450901837726, -0.27341366225951597, 0.03431611055336697, -0.25687244969763257, -0.09258154296855393, 0.17601412121010454, 0.0370961593267949, 0.02953782050233138, -0.12550425927497838, -0.11210861502117232, -0.14885306578668717, -0.23455844603871046, 0.2874151372105668, -0.0015916033010733755, 0.4064463177303735, 0.11345706785980024, -0.019840055959005103, -0.037975650446452694, 0.14407900183608657, 0.12605188748750248, -0.22682809809408164, -0.03246332200146035, 0.2643927069650473, -0.16230689390804878, 0.17658873352369195, -0.45923757098223034, -0.23611250933700878, -0.015241110141045953, 0.10476395684833589, 0.12067196913504678, -0.04831833728270507, -0.26296704819327904, 0.10786130617519743, -0.10814865172448519, -0.07675065822703274, -0.08133707338649976, -0.0021604698666028285, -0.015437500374881844, -0.2535989617499964, 0.1360577671543548, 0.07292844169332009, 0.15996151885115786, -0.11154366223827789, -0.13387234951001836, -0.13179055396467448, 0.06887015824353224, 0.10929034037368471, 0.0844805995051406, 0.24606930080703215, -0.06989867834276274, -0.06242112813909587, 0.32401189917796536, -0.043155657613993086, -0.05583000936006245, 0.11393973462675747, -0.2012681852634016, -0.029742150185139555, 0.21312019312754274, 0.14378035856704963, 0.11141466820906652, -0.12033537237561848, 0.07394805062611244, 0.11332622590033632, 0.21423904666383015, 0.09204504043354016, -0.01300826494912862, 0.22563679477101878, 0.23456626479440418, -0.00794375950078431, 0.18578766523492768, -0.09832298347824499, 0.02491268634207939, -0.1696748833907278, -0.15858267128075423, -0.23814996686813078, 0.031910466623345485, -0.16344552664024953, -0.21478985162745964, 0.3691962960029119, 0.17942313273486338, 0.13641327505833226, -0.07943715856312529, 0.2070984764661836, 0.09741152868066963, 0.0921226943254863, -0.017517465578490182, 0.31542688438570815, 0.2188869470779441, 0.11940188618701589, -0.2705720537121555, 0.18824279363218108, -0.006447783107624242] |
708.3965 | Maty's Biography of Abraham De Moivre, Translated, Annotated and
Augmented | November 27, 2004, marked the 250th anniversary of the death of Abraham De
Moivre, best known in statistical circles for his famous large-sample
approximation to the binomial distribution, whose generalization is now
referred to as the Central Limit Theorem. De Moivre was one of the great
pioneers of classical probability theory. He also made seminal contributions in
analytic geometry, complex analysis and the theory of annuities. The first
biography of De Moivre, on which almost all subsequent ones have since relied,
was written in French by Matthew Maty. It was published in 1755 in the Journal
britannique. The authors provide here, for the first time, a complete
translation into English of Maty's biography of De Moivre. New material, much
of it taken from modern sources, is given in footnotes, along with numerous
annotations designed to provide additional clarity to Maty's biography for
contemporary readers.
| stat.ME | november 27 2004 marked the 250th anniversary of the death of abraham de moivre best known in statistical circles for his famous largesample approximation to the binomial distribution whose generalization is now referred to as the central limit theorem de moivre was one of the great pioneers of classical probability theory he also made seminal contributions in analytic geometry complex analysis and the theory of annuities the first biography of de moivre on which almost all subsequent ones have since relied was written in french by matthew maty it was published in 1755 in the journal britannique the authors provide here for the first time a complete translation into english of matys biography of de moivre new material much of it taken from modern sources is given in footnotes along with numerous annotations designed to provide additional clarity to matys biography for contemporary readers | [['november', '27', '2004', 'marked', 'the', '250th', 'anniversary', 'of', 'the', 'death', 'of', 'abraham', 'de', 'moivre', 'best', 'known', 'in', 'statistical', 'circles', 'for', 'his', 'famous', 'largesample', 'approximation', 'to', 'the', 'binomial', 'distribution', 'whose', 'generalization', 'is', 'now', 'referred', 'to', 'as', 'the', 'central', 'limit', 'theorem', 'de', 'moivre', 'was', 'one', 'of', 'the', 'great', 'pioneers', 'of', 'classical', 'probability', 'theory', 'he', 'also', 'made', 'seminal', 'contributions', 'in', 'analytic', 'geometry', 'complex', 'analysis', 'and', 'the', 'theory', 'of', 'annuities', 'the', 'first', 'biography', 'of', 'de', 'moivre', 'on', 'which', 'almost', 'all', 'subsequent', 'ones', 'have', 'since', 'relied', 'was', 'written', 'in', 'french', 'by', 'matthew', 'maty', 'it', 'was', 'published', 'in', '1755', 'in', 'the', 'journal', 'britannique', 'the', 'authors', 'provide', 'here', 'for', 'the', 'first', 'time', 'a', 'complete', 'translation', 'into', 'english', 'of', 'matys', 'biography', 'of', 'de', 'moivre', 'new', 'material', 'much', 'of', 'it', 'taken', 'from', 'modern', 'sources', 'is', 'given', 'in', 'footnotes', 'along', 'with', 'numerous', 'annotations', 'designed', 'to', 'provide', 'additional', 'clarity', 'to', 'matys', 'biography', 'for', 'contemporary', 'readers']] | [-0.0557493143120325, 0.03997064738286485, -0.12594335113832955, 0.10235799431194477, -0.12456725523539101, -0.09608465161429142, 0.042187168623870175, 0.2658620354880264, -0.17744546976248673, -0.3356383665458118, 0.08398161042588863, -0.3109642781799646, -0.13784906047516965, 0.21882090740334645, -0.16474272866847275, 0.008498955069096398, 0.022992397960034206, 0.04483075101027372, 0.024358865724568315, -0.33571710210400735, 0.2468229922928291, 0.12517881444856363, 0.27665991148837715, 0.009495570562217089, 0.08247597959364107, 0.03977466032927414, -0.12548780185337977, -0.05031534776480185, -0.13220896638248103, 0.11995474182834795, 0.28078047186471256, 0.1683790756811609, 0.31203304643896845, -0.4033032706335669, -0.14909657394419684, 0.0458767262208711, 0.09264666739794285, 0.09734848114450817, 0.0019251702030075432, -0.33201415391250266, 0.014211420465609153, -0.17185736006367014, -0.12624214804336, -0.013192681302550992, 0.09409150964640778, 0.011105074808537532, -0.11978979918288349, 0.06166908401378645, 0.09789783645608871, 0.10522442121235001, -0.025732995396171757, -0.18672088313539573, 0.019262054626890224, 0.1426320095519743, 0.05787881492911805, 0.0571234327315507, 0.01062748133265179, -0.08009449613327496, -0.14583815937097983, 0.3685244198004119, -0.060147309622211424, -0.1197600354551063, 0.13930976173418352, -0.14389194811781425, -0.2015386346983891, 0.09812255594343376, 0.12097557700781834, 0.09764850839470822, -0.1429110864653058, 0.11957238241988268, -0.029325860549139677, 0.12460009156719601, 0.18085454922946667, -0.03696064314664268, 0.17118119130835688, 0.11139902571658436, -0.03458941409409569, 0.09989744155808426, -0.007694192883967281, -0.13673133977601748, -0.27453693937805057, -0.2048461171965912, -0.18090519213650322, 0.09343383874218214, -0.0017357693628949054, -0.1990945115873905, 0.35150845496238564, 0.09984684937002083, 0.11261539432561869, 0.009860387216858137, 0.22471242699530913, 0.053629415296520634, 0.03525618274140058, 0.05791440989199034, 0.23417140433578182, 0.13092069951448884, 0.19441057822378954, -0.06809838354275997, 0.06360322477215592, 0.11343421731747204] |
708.3966 | PAC Fields over Finitely Generated Fields | We prove the following theorem for a finitely generated field $K$: Let $M$ be
a Galois extension of $K$ which is not separably closed. Then $M$ is not PAC
over $K$.
| math.NT | we prove the following theorem for a finitely generated field k let m be a galois extension of k which is not separably closed then m is not pac over k | [['we', 'prove', 'the', 'following', 'theorem', 'for', 'a', 'finitely', 'generated', 'field', 'k', 'let', 'm', 'be', 'a', 'galois', 'extension', 'of', 'k', 'which', 'is', 'not', 'separably', 'closed', 'then', 'm', 'is', 'not', 'pac', 'over', 'k']] | [-0.2275072433234703, 0.18801655322914163, -0.15743462729357904, -0.02323132145759319, -0.13132729023815162, -0.20503338471415541, -0.007377096001178988, 0.35228865930149633, -0.36301695939994627, -0.21955073367984546, 0.02167487022797427, -0.20437908322820741, -0.057336892850036104, 0.26599852162443344, -0.11507133862394239, -0.13540727890006476, -0.025404672228520917, 0.23360045088995848, -0.021411183951122147, -0.3589591818951791, 0.29678263539268124, -0.1206040678605918, 0.09875605639911467, 0.07378392498339376, 0.11199108720006, 0.0329949525485356, 0.04960187069410758, 0.09644290272356762, -0.1636230011710957, 0.0487548245056983, 0.4162144820776678, 0.13979871164736968, 0.3050307905481708, -0.2848525389187759, -0.20413584502473955, 0.3084549364603816, 0.12155080799974742, -0.08311360199079518, 0.007781389221969632, -0.24931629506811018, 0.29932609930514326, -0.08415449398659891, -0.08081800088046058, -0.06889050814413256, 0.11950852156000873, -0.04956762324417791, -0.3413955134549929, -0.08217822501976643, 0.21370877403645747, 0.2243304265542857, -0.05272469073233585, -0.11735062763815926, 0.029570297608452457, -0.022931026865638072, -0.05912827419477605, 0.13893187182745145, 0.09958373644058743, 0.0002910401071271589, -0.06891799644537029, 0.30909149492940596, -0.1846555259619509, -0.17147932478016423, 0.053711762351374474, -0.18757794034336844, -0.07220226275404135, 0.19318871512528388, 0.05600640249078072, 0.21618626098478994, -0.09479332264632948, 0.3163244387795848, -0.2636954965250146, 0.1253734274256614, 0.07627137206614978, -0.08610289459747653, 0.17067532719022804, 0.01481150955923142, 0.13300010637049714, 0.09119751739631136, 0.037120760088005376, 0.06677917763590813, -0.3893171683434517, -0.17227538146318927, -0.169023392061072, 0.2274220242294588, -0.021798894485278476, -0.11617851293375416, 0.3102743841948048, 0.06901809583688455, 0.1705808439442227, 0.154801269936856, 0.23132535827256018, 0.05695484704788654, 0.04860815210568328, 0.19544517050587362, 0.01703666306791767, 0.30397077565712316, -0.10070740163040857, -0.1139585628294416, -0.009216381011590842, 0.12573377523691423] |
708.3967 | The dynamical viability of scalar-tensor gravity theories | We establish the dynamical attractor behavior in scalar-tensor theories of
dark energy, providing a powerful framework to analyze classes of theories,
predicting common evolutionary characteristics that can be compared against
cosmological constraints. In the Jordan frame the theories are viewed as a
coupling between a scalar field, \Phi, and the Ricci scalar, R, F(\Phi)R. The
Jordan frame evolution is described in terms of dynamical variables m \equiv
d\ln F/d\ln \Phi and r \equiv -\Phi F/f, where F(\Phi) = d f(\Phi)/d\Phi. The
evolution can be alternatively viewed in the Einstein frame as a general
coupling between scalar dark energy and matter, \beta. We present a complete,
consistent picture of evolution in the Einstein and Jordan frames and consider
the conditions on the form of the coupling F and \beta required to give the
observed cold dark matter (CDM) dominated era that transitions into a late time
accelerative phase, including transitory accelerative eras that have not
previously been investigated. We find five classes of evolutionary behavior of
which four are qualitatively similar to those for f(R) theories (which have
\beta=1/2). The fifth class exists only for |\beta| < \sqrt{3}/4, i.e. not for
f(R) theories. In models giving transitory late time acceleration, we find a
viable accelerative region of the (r,m) plane accessible to scalar-tensor
theories with any coupling, \beta (at least in the range |\beta| \leq 1/2,
which we study in detail), and an additional region open only to theories with
|\beta| < \sqrt{3}/4.
| astro-ph gr-qc | we establish the dynamical attractor behavior in scalartensor theories of dark energy providing a powerful framework to analyze classes of theories predicting common evolutionary characteristics that can be compared against cosmological constraints in the jordan frame the theories are viewed as a coupling between a scalar field phi and the ricci scalar r fphir the jordan frame evolution is described in terms of dynamical variables m equiv dln fdln phi and r equiv phi ff where fphi d fphidphi the evolution can be alternatively viewed in the einstein frame as a general coupling between scalar dark energy and matter beta we present a complete consistent picture of evolution in the einstein and jordan frames and consider the conditions on the form of the coupling f and beta required to give the observed cold dark matter cdm dominated era that transitions into a late time accelerative phase including transitory accelerative eras that have not previously been investigated we find five classes of evolutionary behavior of which four are qualitatively similar to those for fr theories which have beta12 the fifth class exists only for beta sqrt34 ie not for fr theories in models giving transitory late time acceleration we find a viable accelerative region of the rm plane accessible to scalartensor theories with any coupling beta at least in the range beta leq 12 which we study in detail and an additional region open only to theories with beta sqrt34 | [['we', 'establish', 'the', 'dynamical', 'attractor', 'behavior', 'in', 'scalartensor', 'theories', 'of', 'dark', 'energy', 'providing', 'a', 'powerful', 'framework', 'to', 'analyze', 'classes', 'of', 'theories', 'predicting', 'common', 'evolutionary', 'characteristics', 'that', 'can', 'be', 'compared', 'against', 'cosmological', 'constraints', 'in', 'the', 'jordan', 'frame', 'the', 'theories', 'are', 'viewed', 'as', 'a', 'coupling', 'between', 'a', 'scalar', 'field', 'phi', 'and', 'the', 'ricci', 'scalar', 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708.3968 | Spectral evolution of GRB 060904A observed with Swift and Suzaku --
Possibility of Inefficient Electron Acceleration | We observed an X-ray afterglow of GRB 060904A with the Swift and Suzaku
satellites. We found rapid spectral softening during both the prompt tail phase
and the decline phase of an X-ray flare in the BAT and XRT data. The observed
spectra were fit by power-law photon indices which rapidly changed from $\Gamma
= 1.51^{+0.04}_{-0.03}$ to $\Gamma = 5.30^{+0.69}_{-0.59}$ within a few hundred
seconds in the prompt tail. This is one of the steepest X-ray spectra ever
observed, making it quite difficult to explain by simple electron acceleration
and synchrotron radiation. Then, we applied an alternative spectral fitting
using a broken power-law with exponential cutoff (BPEC) model. It is valid to
consider the situation that the cutoff energy is equivalent to the synchrotron
frequency of the maximum energy electrons in their energy distribution. Since
the spectral cutoff appears in the soft X-ray band, we conclude the electron
acceleration has been inefficient in the internal shocks of GRB 060904A. These
cutoff spectra suddenly disappeared at the transition time from the prompt tail
phase to the shallow decay one. After that, typical afterglow spectra with the
photon indices of 2.0 are continuously and preciously monitored by both XRT and
Suzaku/XIS up to 1 day since the burst trigger time. We could successfully
trace the temporal history of two characteristic break energies (peak energy
and cutoff energy) and they show the time dependence of $\propto t^{-3} \sim
t^{-4}$ while the following afterglow spectra are quite stable. This fact
indicates that the emitting material of prompt tail is due to completely
different dynamics from the shallow decay component. Therefore we conclude the
emission sites of two distinct phenomena obviously differ from each other.
| astro-ph | we observed an xray afterglow of grb 060904a with the swift and suzaku satellites we found rapid spectral softening during both the prompt tail phase and the decline phase of an xray flare in the bat and xrt data the observed spectra were fit by powerlaw photon indices which rapidly changed from gamma 151004_003 to gamma 530069_059 within a few hundred seconds in the prompt tail this is one of the steepest xray spectra ever observed making it quite difficult to explain by simple electron acceleration and synchrotron radiation then we applied an alternative spectral fitting using a broken powerlaw with exponential cutoff bpec model it is valid to consider the situation that the cutoff energy is equivalent to the synchrotron frequency of the maximum energy electrons in their energy distribution since the spectral cutoff appears in the soft xray band we conclude the electron acceleration has been inefficient in the internal shocks of grb 060904a these cutoff spectra suddenly disappeared at the transition time from the prompt tail phase to the shallow decay one after that typical afterglow spectra with the photon indices of 20 are continuously and preciously monitored by both xrt and suzakuxis up to 1 day since the burst trigger time we could successfully trace the temporal history of two characteristic break energies peak energy and cutoff energy and they show the time dependence of propto t3 sim t4 while the following afterglow spectra are quite stable this fact indicates that the emitting material of prompt tail is due to completely different dynamics from the shallow decay component therefore we conclude the emission sites of two distinct phenomena obviously differ from each other | [['we', 'observed', 'an', 'xray', 'afterglow', 'of', 'grb', '060904a', 'with', 'the', 'swift', 'and', 'suzaku', 'satellites', 'we', 'found', 'rapid', 'spectral', 'softening', 'during', 'both', 'the', 'prompt', 'tail', 'phase', 'and', 'the', 'decline', 'phase', 'of', 'an', 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708.3969 | Asymmetric quantum error correction via code conversion | In many physical systems it is expected that environmental decoherence will
exhibit an asymmetry between dephasing and relaxation that may result in qubits
experiencing discrete phase errors more frequently than discrete bit errors. In
the presence of such an error asymmetry, an appropriately asymmetric quantum
code - that is, a code that can correct more phase errors than bit errors -
will be more efficient than a traditional, symmetric quantum code. Here we
construct fault tolerant circuits to convert between an asymmetric subsystem
code and a symmetric subsystem code. We show that, for a moderate error
asymmetry, the failure rate of a logical circuit can be reduced by using a
combined symmetric asymmetric system and that doing so does not preclude
universality.
| quant-ph | in many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing discrete phase errors more frequently than discrete bit errors in the presence of such an error asymmetry an appropriately asymmetric quantum code that is a code that can correct more phase errors than bit errors will be more efficient than a traditional symmetric quantum code here we construct fault tolerant circuits to convert between an asymmetric subsystem code and a symmetric subsystem code we show that for a moderate error asymmetry the failure rate of a logical circuit can be reduced by using a combined symmetric asymmetric system and that doing so does not preclude universality | [['in', 'many', 'physical', 'systems', 'it', 'is', 'expected', 'that', 'environmental', 'decoherence', 'will', 'exhibit', 'an', 'asymmetry', 'between', 'dephasing', 'and', 'relaxation', 'that', 'may', 'result', 'in', 'qubits', 'experiencing', 'discrete', 'phase', 'errors', 'more', 'frequently', 'than', 'discrete', 'bit', 'errors', 'in', 'the', 'presence', 'of', 'such', 'an', 'error', 'asymmetry', 'an', 'appropriately', 'asymmetric', 'quantum', 'code', 'that', 'is', 'a', 'code', 'that', 'can', 'correct', 'more', 'phase', 'errors', 'than', 'bit', 'errors', 'will', 'be', 'more', 'efficient', 'than', 'a', 'traditional', 'symmetric', 'quantum', 'code', 'here', 'we', 'construct', 'fault', 'tolerant', 'circuits', 'to', 'convert', 'between', 'an', 'asymmetric', 'subsystem', 'code', 'and', 'a', 'symmetric', 'subsystem', 'code', 'we', 'show', 'that', 'for', 'a', 'moderate', 'error', 'asymmetry', 'the', 'failure', 'rate', 'of', 'a', 'logical', 'circuit', 'can', 'be', 'reduced', 'by', 'using', 'a', 'combined', 'symmetric', 'asymmetric', 'system', 'and', 'that', 'doing', 'so', 'does', 'not', 'preclude', 'universality']] | [-0.1631752192983792, 0.1563296073625679, -0.08559701578633394, 0.13211512206471526, -0.009889770733813445, -0.23795335777880003, 0.050287242447181295, 0.39936149676019944, -0.2583849431636433, -0.27819131494810184, 0.10195247381246493, -0.22588624708199254, -0.13563072982166582, 0.24306130457359057, -0.11884939020189146, 0.04551537653120855, 0.0696823986973565, -0.008784289822991316, -0.1332987111643888, -0.22482315038796513, 0.24967528459771227, 0.11092214618111029, 0.24849071510058518, -0.009159684658516198, 0.040108872468893726, -0.029244023229693994, 0.041885289697286984, 0.014124520487772923, -0.053785778552871005, 0.053222153118501106, 0.2402131018830308, 0.11653516876200835, 0.2360515752652039, -0.45857558751789235, -0.20972985338109235, 0.13993031377225026, 0.1709717517097791, 0.2366290718006591, -0.055863409093459875, -0.2401789825914117, 0.09446168743694822, -0.23640215660173755, -0.05552505483695616, -0.05580188009577493, 0.05237945998863627, -0.0342963677792189, -0.2904138527538938, 0.08597747575258836, 0.10917177203421792, 0.03932844712398946, 0.04449956707733994, -0.06795453422528226, -0.016391181899234653, 0.10568118180332628, -0.053844918904360384, 0.04786644129975078, 0.16186070477609368, -0.05144811427841584, -0.1371596965783586, 0.3629394533733527, -0.031106499576587034, -0.23281078833776217, 0.1425959055913457, -0.07493763698730618, -0.08902005595737136, 0.15924007675106017, 0.1891097643878311, 0.042646201063568395, -0.1569279975956306, 0.005777959919942077, 0.015538432821631431, 0.2829352283627183, 0.017356951565792162, 0.09285662618155281, 0.18773272930799673, 0.07509802303199346, 0.1048954846720638, 0.14943659767547313, -0.0632736818457488, -0.12141430887083213, -0.3133637716372808, -0.1529777832639714, -0.1815401624868779, 0.08467736510610849, -0.06932803117051663, -0.1574719008989632, 0.3448270730363826, 0.17708611190125037, 0.12321335032271842, 0.04659481824880155, 0.3045674483602246, 0.11149208013666793, 0.09744082546482484, 0.1184996226298002, 0.19591724524507298, 0.10133218800765462, 0.02011352653304736, -0.24768470296482217, 0.13236933236864085, -0.028290412126807496] |
708.397 | Pseudo-Dirac Bino Dark Matter | While the bino-dominated lightest neutralino of the minimal supersymmetric
Standard Model (MSSM) is an interesting and widely-studied candidate of the
dark matter, the p-wave suppression of its annihilation cross section requires
fine-tunings of the MSSM spectra to be consistent with WMAP observations. We
propose pseudo-Dirac bino that arises in theories with D-type
supersymmetry-breaking as an intriguing alternative candidate of dark matter.
The pseudo-Dirac nature of the bino gives a natural mechanism of enhanced
co-annihilation because these two states are degenerate in the absence of
electroweak symmetry breaking. In addition, the lightest state can be
consistent with limits of direct detection experiments because of the lack of
vector interactions, as with the case of the MSSM bino.
| hep-ph | while the binodominated lightest neutralino of the minimal supersymmetric standard model mssm is an interesting and widelystudied candidate of the dark matter the pwave suppression of its annihilation cross section requires finetunings of the mssm spectra to be consistent with wmap observations we propose pseudodirac bino that arises in theories with dtype supersymmetrybreaking as an intriguing alternative candidate of dark matter the pseudodirac nature of the bino gives a natural mechanism of enhanced coannihilation because these two states are degenerate in the absence of electroweak symmetry breaking in addition the lightest state can be consistent with limits of direct detection experiments because of the lack of vector interactions as with the case of the mssm bino | [['while', 'the', 'binodominated', 'lightest', 'neutralino', 'of', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'is', 'an', 'interesting', 'and', 'widelystudied', 'candidate', 'of', 'the', 'dark', 'matter', 'the', 'pwave', 'suppression', 'of', 'its', 'annihilation', 'cross', 'section', 'requires', 'finetunings', 'of', 'the', 'mssm', 'spectra', 'to', 'be', 'consistent', 'with', 'wmap', 'observations', 'we', 'propose', 'pseudodirac', 'bino', 'that', 'arises', 'in', 'theories', 'with', 'dtype', 'supersymmetrybreaking', 'as', 'an', 'intriguing', 'alternative', 'candidate', 'of', 'dark', 'matter', 'the', 'pseudodirac', 'nature', 'of', 'the', 'bino', 'gives', 'a', 'natural', 'mechanism', 'of', 'enhanced', 'coannihilation', 'because', 'these', 'two', 'states', 'are', 'degenerate', 'in', 'the', 'absence', 'of', 'electroweak', 'symmetry', 'breaking', 'in', 'addition', 'the', 'lightest', 'state', 'can', 'be', 'consistent', 'with', 'limits', 'of', 'direct', 'detection', 'experiments', 'because', 'of', 'the', 'lack', 'of', 'vector', 'interactions', 'as', 'with', 'the', 'case', 'of', 'the', 'mssm', 'bino']] | [-0.1361332210724178, 0.24219555824273467, -0.018411957105352737, 0.17296665795006919, -0.12188191949550448, -0.17420420868739742, 0.004602377519718018, 0.28991176955530357, -0.20317664874942395, -0.34586312246091405, 0.012583162690761724, -0.26458573964793747, -0.014464024442312276, 0.1144161901972658, 0.012647292452286286, 0.04715900498006798, 0.03466330320124739, 0.0203000041816769, -0.046844347171356965, -0.2614250253275808, 0.2984835627701551, 0.040358400646725606, 0.17252759872494136, 0.0974343143351344, 0.01839066554535309, -0.0357806163454621, 0.009992726761366016, -0.1431734683072387, -0.0784613855912853, 0.11747550705983704, 0.21794642282826504, 0.07286224409070766, 0.07841640005112979, -0.36165722958233754, -0.19356890192159035, 0.23957010381052207, 0.18875653383518762, 0.07060414651842338, -0.09546235576673442, -0.3522892298542188, 0.07495984132803077, -0.24484579695452904, -0.11120917708693265, -0.0527118554615801, -0.07285629039036175, -0.16349258954719045, -0.2893386090431234, 0.16952606915207258, -0.01719611504010792, -0.05170481958314134, -0.03469571486970506, -0.14764872948631066, -0.1348425704335537, -0.0655788805472247, 0.20673973208036403, -0.07523310163604288, 0.16164921671011614, -0.27543218387290835, -0.16542291188419894, 0.4939804599170798, -0.132116435834303, -0.11979779626788764, 0.1852154664871893, -0.07630520068301723, -0.16136896503278345, 0.15588339166876314, 0.11286880590768274, 0.08717386884381995, -0.10654330900508975, 0.2049953204269545, -0.09685794312852146, 0.1706700180496635, 0.03367164756115205, 0.09832088962791423, 0.34548911050861253, 0.2432729532331999, 0.09520883023225028, 0.07319823185539932, -0.08878608463043026, -0.11133002215225635, -0.4349958693191152, -0.15237938664885686, -0.07082592721643119, 0.0020930332800068348, -0.07290804934758664, -0.12208079669126791, 0.38547382630600496, 0.12566552805746423, 0.2739673903039335, -0.017296257404738974, 0.31048406669187584, 0.053535844923944434, 0.05951141997176255, -0.04213634885923841, 0.3480056946382633, 0.136059216609032, 0.04375658780617382, -0.22669923316350143, -0.014178343406268236, 0.01492960146499862] |
708.3971 | Nematic cells with defect-patterned alignment layers | Using Monte Carlo simulations of the Lebwohl--Lasher model we study the
director ordering in a nematic cell where the top and bottom surfaces are
patterned with a lattice of $\pm 1$ point topological defects of lattice
spacing $a$. We find that the nematic order depends crucially on the ratio of
the height of the cell $H$ to $a$. When $H/a \gtrsim 0.9$ the system is very
well--ordered and the frustration induced by the lattice of defects is relieved
by a network of half--integer defect lines which emerge from the point defects
and hug the top and bottom surfaces of the cell. When $H/a \lesssim 0.9$ the
system is disordered and the half--integer defect lines thread through the cell
joining point defects on the top and bottom surfaces. We present a simple
physical argument in terms of the length of the defect lines to explain these
results. To facilitate eventual comparison with experimental systems we also
simulate optical textures and study the switching behavior in the presence of
an electric field.
| cond-mat.soft | using monte carlo simulations of the lebwohllasher model we study the director ordering in a nematic cell where the top and bottom surfaces are patterned with a lattice of pm 1 point topological defects of lattice spacing a we find that the nematic order depends crucially on the ratio of the height of the cell h to a when ha gtrsim 09 the system is very wellordered and the frustration induced by the lattice of defects is relieved by a network of halfinteger defect lines which emerge from the point defects and hug the top and bottom surfaces of the cell when ha lesssim 09 the system is disordered and the halfinteger defect lines thread through the cell joining point defects on the top and bottom surfaces we present a simple physical argument in terms of the length of the defect lines to explain these results to facilitate eventual comparison with experimental systems we also simulate optical textures and study the switching behavior in the presence of an electric field | [['using', 'monte', 'carlo', 'simulations', 'of', 'the', 'lebwohllasher', 'model', 'we', 'study', 'the', 'director', 'ordering', 'in', 'a', 'nematic', 'cell', 'where', 'the', 'top', 'and', 'bottom', 'surfaces', 'are', 'patterned', 'with', 'a', 'lattice', 'of', 'pm', '1', 'point', 'topological', 'defects', 'of', 'lattice', 'spacing', 'a', 'we', 'find', 'that', 'the', 'nematic', 'order', 'depends', 'crucially', 'on', 'the', 'ratio', 'of', 'the', 'height', 'of', 'the', 'cell', 'h', 'to', 'a', 'when', 'ha', 'gtrsim', '09', 'the', 'system', 'is', 'very', 'wellordered', 'and', 'the', 'frustration', 'induced', 'by', 'the', 'lattice', 'of', 'defects', 'is', 'relieved', 'by', 'a', 'network', 'of', 'halfinteger', 'defect', 'lines', 'which', 'emerge', 'from', 'the', 'point', 'defects', 'and', 'hug', 'the', 'top', 'and', 'bottom', 'surfaces', 'of', 'the', 'cell', 'when', 'ha', 'lesssim', '09', 'the', 'system', 'is', 'disordered', 'and', 'the', 'halfinteger', 'defect', 'lines', 'thread', 'through', 'the', 'cell', 'joining', 'point', 'defects', 'on', 'the', 'top', 'and', 'bottom', 'surfaces', 'we', 'present', 'a', 'simple', 'physical', 'argument', 'in', 'terms', 'of', 'the', 'length', 'of', 'the', 'defect', 'lines', 'to', 'explain', 'these', 'results', 'to', 'facilitate', 'eventual', 'comparison', 'with', 'experimental', 'systems', 'we', 'also', 'simulate', 'optical', 'textures', 'and', 'study', 'the', 'switching', 'behavior', 'in', 'the', 'presence', 'of', 'an', 'electric', 'field']] | [-0.15398014743730207, 0.1911085782909033, -0.012743975449463023, 0.01465802177280078, 0.007967014112235868, -0.13275113679906902, 0.1043837905409472, 0.3796690959045116, -0.24919662757174058, -0.27585604098789834, 0.08042325119227718, -0.3000664956073332, -0.12670998364166522, 0.1286141823107541, 0.01655325913692222, -0.004247795576777528, 0.026374088050386706, -0.014958398860043791, -0.055066186327980285, -0.2225522155983045, 0.304684110500795, 0.02881471307345611, 0.29301635905114165, 0.09793111308587386, 0.03950680267675232, 0.0012032205420409274, 0.05407858470947865, 0.03578193781294805, -0.1751561298571366, 0.12181086273425643, 0.15140885860138736, -0.03861494275248226, 0.1654296816648532, -0.44702653579194757, -0.17241523177362977, 0.03856975939672659, 0.130706593134057, 0.13405021682641852, -0.021657690853702234, -0.26160726394120826, 0.13753213402061887, -0.10727953333304921, -0.14035037254969426, 0.0007404092096668833, -0.009317137438612169, 0.036039144097936945, -0.24111529781537896, 0.05448567562356509, 0.05583565151592826, 0.13440820235101616, -0.04818228610572131, -0.09408634618773837, -0.11820926021181924, 0.0975616777805365, 0.03575219593887382, 0.047590100532226426, 0.17267040328999214, -0.15061337085002485, -0.13478194586247863, 0.3937589391189463, -0.05106293172917931, -0.1729828925419818, 0.18294639517279232, -0.16072056999649195, -0.07485091384938534, 0.1681441807105918, 0.1504530628102229, 0.10697435780688573, -0.0826159063817399, 0.07891871425672434, -0.023311471358379895, 0.17452908345508417, 0.04091775790678666, -0.01998674332520322, 0.2678749833146439, 0.17407861205009634, 0.04583433906492942, 0.14484779194428804, -0.15782793924924643, -0.10030106194830937, -0.30125937447061435, -0.19397977699580438, -0.17432777529294766, 0.04159058220547569, -0.11282697336907457, -0.20479059648316572, 0.3952988420339192, 0.1141347590368241, 0.24886019948102972, -0.01734505485921331, 0.19666995198520668, 0.0797886917970198, 0.0714883366928381, 0.02256347059224294, 0.2016565989374238, 0.1434144848389277, 0.09862779453944634, -0.2565511401845416, 0.017177020185900962, 0.07501864769797334] |
708.3972 | Ultrashort intense-field optical vortices produced with laser-etched
mirrors | We introduce a simple and practical method to create ultrashort intense
optical vortices for applications involving high-intensity lasers. Our method
utilizes femtosecond laser pulses to laser-etch grating lines into
laser-quality gold mirrors. These grating lines holographically encode an
optical vortex. We derive mathematical equations for each individual grating
line to be etched, for any desired (integer) topological charge. We investigate
the smoothness of the etched grooves. We show that they are smooth enough to
produce optical vortices with an intensity that is only a few percent lower
than in the ideal case. We demonstrate that the etched gratings can be used in
a folded version of our 2f-2f setup [Mariyenko et al., Opt. Express 19, 7599
(2005)] to compensate angular dispersion. Lastly, we show that the etched
gratings withstand intensities of up to 10^12 W/cm2.
| physics.optics physics.atom-ph | we introduce a simple and practical method to create ultrashort intense optical vortices for applications involving highintensity lasers our method utilizes femtosecond laser pulses to laseretch grating lines into laserquality gold mirrors these grating lines holographically encode an optical vortex we derive mathematical equations for each individual grating line to be etched for any desired integer topological charge we investigate the smoothness of the etched grooves we show that they are smooth enough to produce optical vortices with an intensity that is only a few percent lower than in the ideal case we demonstrate that the etched gratings can be used in a folded version of our 2f2f setup mariyenko et al opt express 19 7599 2005 to compensate angular dispersion lastly we show that the etched gratings withstand intensities of up to 1012 wcm2 | [['we', 'introduce', 'a', 'simple', 'and', 'practical', 'method', 'to', 'create', 'ultrashort', 'intense', 'optical', 'vortices', 'for', 'applications', 'involving', 'highintensity', 'lasers', 'our', 'method', 'utilizes', 'femtosecond', 'laser', 'pulses', 'to', 'laseretch', 'grating', 'lines', 'into', 'laserquality', 'gold', 'mirrors', 'these', 'grating', 'lines', 'holographically', 'encode', 'an', 'optical', 'vortex', 'we', 'derive', 'mathematical', 'equations', 'for', 'each', 'individual', 'grating', 'line', 'to', 'be', 'etched', 'for', 'any', 'desired', 'integer', 'topological', 'charge', 'we', 'investigate', 'the', 'smoothness', 'of', 'the', 'etched', 'grooves', 'we', 'show', 'that', 'they', 'are', 'smooth', 'enough', 'to', 'produce', 'optical', 'vortices', 'with', 'an', 'intensity', 'that', 'is', 'only', 'a', 'few', 'percent', 'lower', 'than', 'in', 'the', 'ideal', 'case', 'we', 'demonstrate', 'that', 'the', 'etched', 'gratings', 'can', 'be', 'used', 'in', 'a', 'folded', 'version', 'of', 'our', '2f2f', 'setup', 'mariyenko', 'et', 'al', 'opt', 'express', '19', '7599', '2005', 'to', 'compensate', 'angular', 'dispersion', 'lastly', 'we', 'show', 'that', 'the', 'etched', 'gratings', 'withstand', 'intensities', 'of', 'up', 'to', '1012', 'wcm2']] | [-0.09962456216964558, 0.1289372802021085, -0.06973359868897282, 0.011021053949051061, -0.06613988168395431, -0.1980156212056923, 0.019611671029319915, 0.5505276612496672, -0.2087923663629233, -0.31176622224019, 0.029198462269731038, -0.2599684365292769, -0.10553876180486142, 0.24275332810321668, -0.08718692941168138, 0.047349096126570046, 0.024846297290659587, -0.12239698317072546, -0.013605158524552205, -0.23992214717489901, 0.2141998442972278, 0.02177571251860443, 0.280906482500145, 0.056474231222630226, 0.12351485914266348, -0.005258269219340237, 0.056457037411857654, -0.02160262946352249, -0.15486123376167807, 0.11170079423654966, 0.25601630824269683, -0.007957555844185461, 0.2250015376782656, -0.5030021413392921, -0.2245926198492694, 0.03816612101096006, 0.15622645114967956, 0.15930176511911662, -0.03186268687162918, -0.2607867242608447, 0.07030464286688459, -0.12437208665122512, -0.1536220863287316, -0.07837018356409692, -0.0008676360922915335, 0.06667830110776402, -0.2678403517792094, -0.050359361524203124, 0.027138465260091515, 0.03732359073771775, -0.03830903015305637, -0.02091051269862943, -0.03844677574420703, 0.021131014536696534, -0.05354850350715618, 0.020698656807902432, 0.18121553887079916, -0.08462758125552466, -0.08261146372226813, 0.35355477059928286, -0.08087473388155655, -0.10904017525177648, 0.12578806534359757, -0.15527352192154767, -0.03183345799156614, 0.20457503550778364, 0.18692417863871055, 0.15026580000239362, -0.0643557632059385, -0.032710909099186565, -0.06622571013521275, 0.25516887934778937, 0.2034816380966995, 0.07386247099569167, 0.23671093890941097, 0.13472823731828737, 0.04504574173421578, 0.17959372621324654, -0.1520533979219875, 0.030375610357630315, -0.2694246294616743, -0.14115034985420016, -0.1524005328706743, 0.061251993209322675, -0.04830327434703007, -0.15421816401089405, 0.3702763705052265, 0.17505610250434234, 0.15451679008507227, -0.01409392550859586, 0.2930279241657979, 0.1385929481435624, 0.07859569458283826, 0.045284220195226085, 0.26353368251175685, 0.14621711771167417, 0.08157920159172011, -0.20047543268785847, -0.05277200059908378, 0.04087351628877791] |
708.3973 | Evidence of orbital reconstruction at interfaces in La0.67Sr0.33MnO3
films | Electronic properties of transition metal oxides at interfaces are influenced
by strain, electric polarization and oxygen diffusion. Linear dichroism (LD)
x-ray absorption, diffraction, transport and magnetization on thin
La0.7Sr0.3MnO3 films, allow identification of a peculiar universal interface
effect. We report the LD signature of preferential 3d-eg(3z2-r2) occupation at
the interface, suppressing the double exchange mechanism. This surface orbital
reconstruction is opposite of that favored by residual strain and independent
of dipolar fields, chemical nature of the substrate and capping.
| cond-mat.str-el cond-mat.mtrl-sci | electronic properties of transition metal oxides at interfaces are influenced by strain electric polarization and oxygen diffusion linear dichroism ld xray absorption diffraction transport and magnetization on thin la07sr03mno3 films allow identification of a peculiar universal interface effect we report the ld signature of preferential 3deg3z2r2 occupation at the interface suppressing the double exchange mechanism this surface orbital reconstruction is opposite of that favored by residual strain and independent of dipolar fields chemical nature of the substrate and capping | [['electronic', 'properties', 'of', 'transition', 'metal', 'oxides', 'at', 'interfaces', 'are', 'influenced', 'by', 'strain', 'electric', 'polarization', 'and', 'oxygen', 'diffusion', 'linear', 'dichroism', 'ld', 'xray', 'absorption', 'diffraction', 'transport', 'and', 'magnetization', 'on', 'thin', 'la07sr03mno3', 'films', 'allow', 'identification', 'of', 'a', 'peculiar', 'universal', 'interface', 'effect', 'we', 'report', 'the', 'ld', 'signature', 'of', 'preferential', '3deg3z2r2', 'occupation', 'at', 'the', 'interface', 'suppressing', 'the', 'double', 'exchange', 'mechanism', 'this', 'surface', 'orbital', 'reconstruction', 'is', 'opposite', 'of', 'that', 'favored', 'by', 'residual', 'strain', 'and', 'independent', 'of', 'dipolar', 'fields', 'chemical', 'nature', 'of', 'the', 'substrate', 'and', 'capping']] | [-0.19462496141950864, 0.21584788254963663, -0.026404468247141592, -0.0022394765968410633, -0.06233001788122914, -0.15363918411402175, 0.11577292485162616, 0.44906344747123045, -0.3298593496856017, -0.29117610444052094, -0.02567553181702701, -0.31417197846353817, -0.1135715996989837, 0.14117300851891437, 0.1029672306866791, -0.01160331028036009, -0.07240039358237901, -0.17139221047564673, -0.05618277283755537, -0.15894975668440262, 0.28291963597234243, 0.07579062059999277, 0.3669136870556917, 0.10884794546589734, 0.038121311397005156, 0.0633715582677187, 0.06818368973640296, 0.035566994574112006, -0.149823921771876, 0.07151237725972748, 0.20482332341802809, -0.1451262918216787, 0.11668323816803212, -0.46200960248899764, -0.20106267644605863, -0.04701595512541154, 0.11253862032959333, 0.14560459619865584, -0.13387138827088982, -0.20788638077628535, 0.018604340682474848, -0.09483858121511264, -0.10733154090121388, -0.04925951988507922, 0.003470320487394929, 0.02168703068477603, -0.23862852246682636, 0.15927289293792385, 0.08207864439240299, 0.14561034444098672, -0.11621369745653982, -0.13097923659743407, -0.18187941057989612, 0.02505480289721909, 0.0486020617476569, 0.030356633667953502, 0.26980728184422237, -0.103630811179009, -0.0964428937026801, 0.3262950068530746, -0.04891977732917533, -0.058502526715015754, 0.17523206465949231, -0.23706272824739033, -0.04877713886507524, 0.21200129179021296, 0.15243704558218804, 0.11735511322816213, -0.14466406643175736, 0.0708661755003656, 0.059848442602042966, 0.2018703471105068, 0.09555564872705592, 0.06565326985974725, 0.2996338723728863, 0.1930102342635226, 0.02340986697265926, 0.11204740747388524, -0.1414293431563494, 0.011431486304037465, -0.18891017374176627, -0.17257714544972166, -0.19155123178512815, 0.07198865096478795, -0.11505214329614925, -0.23547464547356448, 0.362571744612442, 0.09944181039165227, 0.12524991526674384, -0.10424186144836056, 0.2501067807778525, 0.06830706669447514, 0.06401117348995729, -0.0170771807181434, 0.2848982310567338, 0.21998911470962831, 0.12261387026732197, -0.3533758516423404, 0.2178378619540196, 0.002210689845900887] |
708.3974 | A Conversation with Robert V. Hogg | Robert Vincent Hogg was born on November 8, 1924 in Hannibal, Missouri. He
earned a Ph.D. in statistics at the University of Iowa in 1950, where his
advisor was Allen Craig. Following graduation, he joined the mathematics
faculty at the University of Iowa. He was the founding Chair when the
Department of Statistics was created at Iowa in 1965 and he served in that
capacity for 19 years. At Iowa he also served as Chair of the Quality
Management and Productivity Program and the Hanson Chair of Manufacturing
Productivity. He became Professor Emeritus in 2001 after 51 years on the Iowa
faculty. He is a Fellow of the Institute of Mathematical Statistics and the
American Statistical Association plus an Elected Member of the International
Statistical Institute. He was President of the American Statistical Association
(1988) and chaired two of its winter conferences (1992, 1994). He received the
ASA's Founder's Award (1991) and the Gottfried Noether Award (2001) for
contributions to nonparametric statistics. His publications through 1996 are
described in Communications in Statistics--Theory and Methods (1996),
2467--2481. This interview was conducted on April 14, 2004 at the Department of
Statistics, University of Florida, Gainesville, Florida, and revised in the
summer of 2006.
| stat.ME | robert vincent hogg was born on november 8 1924 in hannibal missouri he earned a phd in statistics at the university of iowa in 1950 where his advisor was allen craig following graduation he joined the mathematics faculty at the university of iowa he was the founding chair when the department of statistics was created at iowa in 1965 and he served in that capacity for 19 years at iowa he also served as chair of the quality management and productivity program and the hanson chair of manufacturing productivity he became professor emeritus in 2001 after 51 years on the iowa faculty he is a fellow of the institute of mathematical statistics and the american statistical association plus an elected member of the international statistical institute he was president of the american statistical association 1988 and chaired two of its winter conferences 1992 1994 he received the asas founders award 1991 and the gottfried noether award 2001 for contributions to nonparametric statistics his publications through 1996 are described in communications in statisticstheory and methods 1996 24672481 this interview was conducted on april 14 2004 at the department of statistics university of florida gainesville florida and revised in the summer of 2006 | [['robert', 'vincent', 'hogg', 'was', 'born', 'on', 'november', '8', '1924', 'in', 'hannibal', 'missouri', 'he', 'earned', 'a', 'phd', 'in', 'statistics', 'at', 'the', 'university', 'of', 'iowa', 'in', '1950', 'where', 'his', 'advisor', 'was', 'allen', 'craig', 'following', 'graduation', 'he', 'joined', 'the', 'mathematics', 'faculty', 'at', 'the', 'university', 'of', 'iowa', 'he', 'was', 'the', 'founding', 'chair', 'when', 'the', 'department', 'of', 'statistics', 'was', 'created', 'at', 'iowa', 'in', '1965', 'and', 'he', 'served', 'in', 'that', 'capacity', 'for', '19', 'years', 'at', 'iowa', 'he', 'also', 'served', 'as', 'chair', 'of', 'the', 'quality', 'management', 'and', 'productivity', 'program', 'and', 'the', 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708.3975 | Absence of local magnetic moments in Ru and Rh impurities and clusters
on Ag(100) and Pt(997) | The magnetism of quench-condensed Ru and Rh impurities and metal films on
Ag(100) and Pt(997) has been studied using x-ray magnetic circular dichroism.
In the coverage range between 0.22 ML and 2.0 ML no dichroic signal was
detected at the M3,2 absorption edges of Ru on Ag(100) at a temperature of 5 K
in the presence of an applied magnetic field. The same was found for coverages
between 0.12 ML and 0.5 ML of Rh on Ag(100) and Pt(997). It is concluded that
the magnetic moments of single impurities, small clusters of various shape and
monolayers of the 4d metals are below the detection limit of 0.04 muB per atom.
These results provide an unambiguous determination of the local magnetic moment
of Ru and Rh deposited on nonmagnetic transition-metal surfaces, which are in
contrast with theoretical predictions.
| cond-mat.other | the magnetism of quenchcondensed ru and rh impurities and metal films on ag100 and pt997 has been studied using xray magnetic circular dichroism in the coverage range between 022 ml and 20 ml no dichroic signal was detected at the m32 absorption edges of ru on ag100 at a temperature of 5 k in the presence of an applied magnetic field the same was found for coverages between 012 ml and 05 ml of rh on ag100 and pt997 it is concluded that the magnetic moments of single impurities small clusters of various shape and monolayers of the 4d metals are below the detection limit of 004 mub per atom these results provide an unambiguous determination of the local magnetic moment of ru and rh deposited on nonmagnetic transitionmetal surfaces which are in contrast with theoretical predictions | [['the', 'magnetism', 'of', 'quenchcondensed', 'ru', 'and', 'rh', 'impurities', 'and', 'metal', 'films', 'on', 'ag100', 'and', 'pt997', 'has', 'been', 'studied', 'using', 'xray', 'magnetic', 'circular', 'dichroism', 'in', 'the', 'coverage', 'range', 'between', '022', 'ml', 'and', '20', 'ml', 'no', 'dichroic', 'signal', 'was', 'detected', 'at', 'the', 'm32', 'absorption', 'edges', 'of', 'ru', 'on', 'ag100', 'at', 'a', 'temperature', 'of', '5', 'k', 'in', 'the', 'presence', 'of', 'an', 'applied', 'magnetic', 'field', 'the', 'same', 'was', 'found', 'for', 'coverages', 'between', '012', 'ml', 'and', '05', 'ml', 'of', 'rh', 'on', 'ag100', 'and', 'pt997', 'it', 'is', 'concluded', 'that', 'the', 'magnetic', 'moments', 'of', 'single', 'impurities', 'small', 'clusters', 'of', 'various', 'shape', 'and', 'monolayers', 'of', 'the', '4d', 'metals', 'are', 'below', 'the', 'detection', 'limit', 'of', '004', 'mub', 'per', 'atom', 'these', 'results', 'provide', 'an', 'unambiguous', 'determination', 'of', 'the', 'local', 'magnetic', 'moment', 'of', 'ru', 'and', 'rh', 'deposited', 'on', 'nonmagnetic', 'transitionmetal', 'surfaces', 'which', 'are', 'in', 'contrast', 'with', 'theoretical', 'predictions']] | [-0.09994473869877833, 0.14447996615522748, 0.030620907757569243, 0.025204779369825566, 0.041166687630875796, -0.12975912814683938, 0.08694821083098996, 0.45021212401765365, -0.20999305773595417, -0.4001271353413661, 0.009467885668251526, -0.38671725312316857, -0.052305334704686644, 0.15405939926427822, 0.053817996900114747, -0.016609064189510213, -0.04626484448607597, -0.023166985944111797, -0.1401918379365708, -0.2623208198213467, 0.22858866436268996, 0.05676433883641881, 0.2916632304726927, 0.08989695981144905, 0.009405817570923656, 0.01392552424222231, 0.09963338777974799, 0.031054526529516336, -0.1217628787063101, 0.07200427098691256, 0.2145809133692334, -0.05458334921169336, 0.14833466541366996, -0.43166993812968335, -0.16357769676035752, -0.018208321402090843, 0.11688291105890164, 0.06711658196161605, -0.13364038519751004, -0.24350335701127296, 0.11532284497041945, -0.051185940233645616, -0.07475823741406203, -0.0039923398376063065, 0.03288382112427994, -0.0015602794993254873, -0.26675664340318356, 0.0919288945660271, 0.07425964277720562, 0.17251375792892995, -0.11770858889514649, -0.21001355843963446, -0.13826360377327848, 0.037901888239300914, 0.07219887916300514, 0.06853337262377694, 0.16717452641438554, -0.06153811291765628, -0.0635088350477249, 0.34896025296852545, -0.07149450084953396, -0.04886147008553423, 0.19413981394911253, -0.2007812771152843, -0.10279331730195769, 0.1762680894552937, 0.13906171550991497, 0.1660842926500158, -0.12038574527121253, 0.1007070129012896, -0.018303330466841107, 0.2323175400081608, 0.08381024312434925, 0.03658015726315272, 0.28728113403992245, 0.17750888175710483, 0.01896922409672428, 0.07617713978893503, -0.24088721821015632, 0.0368000906943861, -0.17827540798871605, -0.19834030240394726, -0.20133980656456615, 0.0473947966919729, -0.12082133310657271, -0.17445565894465997, 0.32672492208787135, 0.10789583794755378, 0.19407330406657247, -0.06366378081600285, 0.2037114255544212, 0.08542839795764949, 0.06490511069833128, -0.0037195681680545763, 0.30773930588944093, 0.22961223918634158, 0.10216433675442305, -0.22990833913079567, 0.10263558634108415, -0.012875146691307977] |
708.3976 | Geometry reconstruction of fluorescence detectors revisited | The experimental technique of fluorescence light observation is used in
current and planned air shower experiments that aim at understanding the origin
of ultra-high energy cosmic rays. In the fluorescence technique, the geometry
of the shower is reconstructed based on the correlation between viewing angle
and arrival time of the signals detected by the telescope. The signals are
compared to those expected for different shower geometries and the best-fit
geometry is determined. The calculation of the expected signals is usually
based on a relatively simple function which is motivated by basic geometrical
considerations. This function is based on certain assumptions on the processes
of light emission and propagation through the atmosphere. For instance, the
fluorescence light is assumed to propagate with vacuum speed of light. We
investigate the validity of these assumptions and provide corrections that can
be used in the geometry reconstruction. The impact on reconstruction parameters
is studied. The results are also relevant for hybrid observations where the
shower is registered simultaneously by fluorescence and surface detectors.
| astro-ph | the experimental technique of fluorescence light observation is used in current and planned air shower experiments that aim at understanding the origin of ultrahigh energy cosmic rays in the fluorescence technique the geometry of the shower is reconstructed based on the correlation between viewing angle and arrival time of the signals detected by the telescope the signals are compared to those expected for different shower geometries and the bestfit geometry is determined the calculation of the expected signals is usually based on a relatively simple function which is motivated by basic geometrical considerations this function is based on certain assumptions on the processes of light emission and propagation through the atmosphere for instance the fluorescence light is assumed to propagate with vacuum speed of light we investigate the validity of these assumptions and provide corrections that can be used in the geometry reconstruction the impact on reconstruction parameters is studied the results are also relevant for hybrid observations where the shower is registered simultaneously by fluorescence and surface detectors | [['the', 'experimental', 'technique', 'of', 'fluorescence', 'light', 'observation', 'is', 'used', 'in', 'current', 'and', 'planned', 'air', 'shower', 'experiments', 'that', 'aim', 'at', 'understanding', 'the', 'origin', 'of', 'ultrahigh', 'energy', 'cosmic', 'rays', 'in', 'the', 'fluorescence', 'technique', 'the', 'geometry', 'of', 'the', 'shower', 'is', 'reconstructed', 'based', 'on', 'the', 'correlation', 'between', 'viewing', 'angle', 'and', 'arrival', 'time', 'of', 'the', 'signals', 'detected', 'by', 'the', 'telescope', 'the', 'signals', 'are', 'compared', 'to', 'those', 'expected', 'for', 'different', 'shower', 'geometries', 'and', 'the', 'bestfit', 'geometry', 'is', 'determined', 'the', 'calculation', 'of', 'the', 'expected', 'signals', 'is', 'usually', 'based', 'on', 'a', 'relatively', 'simple', 'function', 'which', 'is', 'motivated', 'by', 'basic', 'geometrical', 'considerations', 'this', 'function', 'is', 'based', 'on', 'certain', 'assumptions', 'on', 'the', 'processes', 'of', 'light', 'emission', 'and', 'propagation', 'through', 'the', 'atmosphere', 'for', 'instance', 'the', 'fluorescence', 'light', 'is', 'assumed', 'to', 'propagate', 'with', 'vacuum', 'speed', 'of', 'light', 'we', 'investigate', 'the', 'validity', 'of', 'these', 'assumptions', 'and', 'provide', 'corrections', 'that', 'can', 'be', 'used', 'in', 'the', 'geometry', 'reconstruction', 'the', 'impact', 'on', 'reconstruction', 'parameters', 'is', 'studied', 'the', 'results', 'are', 'also', 'relevant', 'for', 'hybrid', 'observations', 'where', 'the', 'shower', 'is', 'registered', 'simultaneously', 'by', 'fluorescence', 'and', 'surface', 'detectors']] | [-0.06829186593052881, 0.16538171859502176, -0.10124770609507634, 0.09414586737512931, -0.05420298949049334, -0.0622980707358106, -0.021035429013110476, 0.4161016730723914, -0.22786294924888825, -0.3568259087451816, 0.10950225989882609, -0.2899138300222229, -0.11037526285749745, 0.23928810472561587, -0.007383710831491905, 0.06764327336899033, 0.08008008518810081, -0.00048284283711729273, -0.05858566365948707, -0.16683779283255867, 0.28783479097820047, 0.15240105872797455, 0.3002192609497076, 0.10603447249379648, 0.10788838965294761, 0.028982822823244526, -0.07185839902686737, -0.01244815094010717, -0.1068025142476741, 0.10411999505922506, 0.1956175185268822, 0.15552548512460984, 0.13651275470544247, -0.4486393935016781, -0.2319472319165454, 0.06948549574318193, 0.09333293137041378, 0.05253062192498728, -0.05364492842886244, -0.2937924915472784, 0.055021280271260166, -0.061145021724817755, -0.12218191174613918, 0.026368842537366075, -0.06275436360962115, 0.0408492208618296, -0.24508587553127278, 0.024647338368024775, -0.022821799141751635, 0.033561212856587044, -0.03210537936696893, -0.09547735231145996, -0.0023868664494335386, 0.10435843884327708, 0.07969820699048333, 0.02085801715598877, 0.16677135166838852, -0.11768906175423435, -0.09740543225470148, 0.3935684933982922, -0.0821797056592031, -0.17320024599124864, 0.16717187196881506, -0.1783518153991889, -0.07910900509547024, 0.19290542172146796, 0.1876190160910913, 0.12120168068110061, -0.16829040339051266, 0.05405773292777828, 0.00766482928315916, 0.16799029918558367, 0.05112873333555883, 0.039790364803426716, 0.21693863481911418, 0.17684523373864283, 0.03034007322517108, 0.10414809309023283, -0.1713435300529422, -0.023070263684611524, -0.30187183805120027, -0.1124254932517555, -0.21189338956909948, 0.032704322929521634, -0.08746037169269386, -0.11919966870202468, 0.4305749748414658, 0.15603375276440434, 0.18137029624549594, 0.007632498580482981, 0.350093944064347, 0.10154555477587694, 0.0349621349317435, 0.02658943483156852, 0.32389852498828836, 0.12747007892632406, 0.06717111287947149, -0.2227315611051693, 0.1260590143005788, 0.02853408233350771] |
708.3977 | The Lie algebra perturbation lemma | Let g be a differential graded Lie algebra and suppose given a contraction of
chain complexes of g onto a general chain complex M. We show that the data
determine an sh-Lie algebra structure on M, that is, a coalgebra perturbation
of the coalgebra differential on the cofree coaugmented differential graded
cocommutative coalgebra S' on the suspension of M, a Lie algebra twisting
cochain from the perturbed coalgebra S" to the given Lie algebra g, and an
extension of this Lie algebra twisting cochain to a contraction of chain
complexes from the Cartan-Chevalley-Eilenberg coalgebra on g onto S" which is
natural in the data. This extends a result established in a joint paper of the
author with J. Stashef [Forum math. 14 (2002), 847-868, math.AG/9906036] where
only the particular where M is the homology of g has been explored.
| math.AG math.AC | let g be a differential graded lie algebra and suppose given a contraction of chain complexes of g onto a general chain complex m we show that the data determine an shlie algebra structure on m that is a coalgebra perturbation of the coalgebra differential on the cofree coaugmented differential graded cocommutative coalgebra s on the suspension of m a lie algebra twisting cochain from the perturbed coalgebra s to the given lie algebra g and an extension of this lie algebra twisting cochain to a contraction of chain complexes from the cartanchevalleyeilenberg coalgebra on g onto s which is natural in the data this extends a result established in a joint paper of the author with j stashef forum math 14 2002 847868 mathag9906036 where only the particular where m is the homology of g has been explored | [['let', 'g', 'be', 'a', 'differential', 'graded', 'lie', 'algebra', 'and', 'suppose', 'given', 'a', 'contraction', 'of', 'chain', 'complexes', 'of', 'g', 'onto', 'a', 'general', 'chain', 'complex', 'm', 'we', 'show', 'that', 'the', 'data', 'determine', 'an', 'shlie', 'algebra', 'structure', 'on', 'm', 'that', 'is', 'a', 'coalgebra', 'perturbation', 'of', 'the', 'coalgebra', 'differential', 'on', 'the', 'cofree', 'coaugmented', 'differential', 'graded', 'cocommutative', 'coalgebra', 's', 'on', 'the', 'suspension', 'of', 'm', 'a', 'lie', 'algebra', 'twisting', 'cochain', 'from', 'the', 'perturbed', 'coalgebra', 's', 'to', 'the', 'given', 'lie', 'algebra', 'g', 'and', 'an', 'extension', 'of', 'this', 'lie', 'algebra', 'twisting', 'cochain', 'to', 'a', 'contraction', 'of', 'chain', 'complexes', 'from', 'the', 'cartanchevalleyeilenberg', 'coalgebra', 'on', 'g', 'onto', 's', 'which', 'is', 'natural', 'in', 'the', 'data', 'this', 'extends', 'a', 'result', 'established', 'in', 'a', 'joint', 'paper', 'of', 'the', 'author', 'with', 'j', 'stashef', 'forum', 'math', '14', '2002', '847868', 'mathag9906036', 'where', 'only', 'the', 'particular', 'where', 'm', 'is', 'the', 'homology', 'of', 'g', 'has', 'been', 'explored']] | [-0.20763574086424127, 0.04018576713882366, -0.06783010499716244, -0.005757132797632092, -0.16969900473486632, -0.1137567857033847, -0.043506326050299, 0.3588886107181144, -0.4086705268898239, -0.2220960113370572, 0.10730835202112383, -0.2116451471537242, -0.11927490105153993, 0.1483437296393437, -0.137470089684939, -0.12130022462566986, 0.12621591442182442, 0.1593358054421568, -0.07856581154448898, -0.20798042915617665, 0.40921256613150675, 0.020755188532776254, 0.16762894368666287, -0.02804698285078356, 0.15860780086094403, 0.023201617477324736, -0.0016900500666130992, -0.01764336199609234, -0.2134045730213342, 0.11783629014184151, 0.30015054382109907, 0.04297727476360331, 0.20087291600066237, -0.3418987396186875, -0.06903450855273097, 0.12666761813178548, 0.09942242978757028, -0.016326349779025324, 0.003876892846378991, -0.30733450104975524, 0.09096739003272138, -0.23913819794817007, -0.048003080930999094, -0.0055362358158591255, 0.1710803176427041, -0.03445164322414819, -0.2705309118323117, -0.03179286270888577, 0.11170258415479432, 0.14765053606071674, -0.01346931908868582, -0.08762178181324784, -0.18250033252543824, 0.02784028252833249, -0.11763363982968525, 0.0999963010818807, 0.16134975349311442, -0.029109193494899526, -0.13832954905571088, 0.3488318485084592, -0.08729363983045058, -0.19653402178493493, 0.10357258274041883, -0.2161289666683468, -0.19458507382146575, 0.13013956902603455, 0.03912540968945798, 0.18162275437840864, -0.050265669747793305, 0.25559929594216074, -0.15012563731493977, 0.05190190284423914, 0.0743485254180782, -0.09906885312888977, 0.11714404473005903, 0.1670967511822442, 0.09262714887325488, 0.09861858231820139, 0.05187929236425964, -0.005341395985691205, -0.33270378446425586, -0.19843110860571922, -0.12721119413960397, 0.1790372758799041, -0.08504128219839699, -0.1351930071147816, 0.3801187398049104, 0.08383152766265646, 0.2039608107879758, 0.07733670511259012, 0.17671372582588127, 0.08086215340368011, 0.10462516002863755, 0.05647444712967092, 0.08233953687458244, 0.3277529950719327, 0.010875591535723823, -0.1410794569323223, -0.043982012122047734, 0.19047403847456307] |
708.3978 | Path-Integral Formulation of Pseudo-Hermitian Quantum Mechanics and the
Role of the Metric Operator | We provide a careful analysis of the generating functional in the path
integral formulation of pseudo-Hermitian and in particular PT-symmetric quantum
mechanics and show how the metric operator enters the expression for the
generating functional.
| quant-ph gr-qc hep-th math-ph math.MP | we provide a careful analysis of the generating functional in the path integral formulation of pseudohermitian and in particular ptsymmetric quantum mechanics and show how the metric operator enters the expression for the generating functional | [['we', 'provide', 'a', 'careful', 'analysis', 'of', 'the', 'generating', 'functional', 'in', 'the', 'path', 'integral', 'formulation', 'of', 'pseudohermitian', 'and', 'in', 'particular', 'ptsymmetric', 'quantum', 'mechanics', 'and', 'show', 'how', 'the', 'metric', 'operator', 'enters', 'the', 'expression', 'for', 'the', 'generating', 'functional']] | [-0.1412147481260555, 0.070320686371997, -0.15978335070290736, 0.09633296041616372, -0.06405023772801671, -0.09993104970614825, 0.00986055337291743, 0.3313810834395034, -0.23721684286636965, -0.2347184625587293, 0.044726512374888575, -0.28589056006499697, -0.315699601984982, 0.18264317863753865, -0.04054842801498515, 0.09594203627535275, 0.0968157695872443, 0.08133632870075026, -0.10848544710980994, -0.12986673793888517, 0.3604427669729505, 0.01629165172510381, 0.23177243170461484, 0.09052683216120516, 0.1318084528935807, 0.11614234211987683, -0.013125320151448249, 0.01320128579224859, -0.14670138712972403, 0.1952237731111901, 0.23807189049465316, 0.15545527158038958, 0.2813067661864417, -0.48772066831588745, -0.21577756122819014, 0.06786483441080365, 0.08416705525347165, 0.0776230590151889, -0.07225872581558568, -0.2718714477760451, 0.010191212301807744, -0.1361384507002575, -0.1558264902659825, -0.14063048586249352, -0.0025923867842980795, -0.035722200945019725, -0.2349025604448148, 0.0678694946957486, 0.04402844086289406, 0.05990013658468212, -0.10600675434938499, -0.042262499832681245, 0.007549892153058733, 0.1118236679716834, -0.021907994044678553, 0.022208040886159453, 0.10703196633341057, -0.12632841539702244, -0.07171672655801688, 0.3700372343616826, -0.038918176492942234, -0.26661975753626654, 0.054485389749918664, -0.12165716543261494, -0.1745090428473694, 0.041622105811256915, 0.09598378235740321, 0.11867529334766524, -0.16547242472214357, 0.19476928646742767, -0.00011866667440959385, 0.09378109010202544, 0.0362217653542757, 0.08390196891767639, 0.12258426168472007, 0.12384680226844336, 0.08294573569936411, 0.17235688036307692, -0.01221420347158398, -0.1945017351635865, -0.41338309730802264, -0.2653812790821706, -0.19455526348735605, 0.1063858152001298, -0.12825518501839334, -0.2344710591648306, 0.42280825908694947, 0.11288616050566946, 0.12938470494534288, 0.07522708281342472, 0.2318452930876187, 0.25694942234882284, 0.03003841099728431, 0.020592825008290155, 0.19375035182705946, 0.16958647998315948, 0.099108954465815, -0.25901121225740226, -0.03332297988235951, 0.12207377381356699] |
708.3979 | Constraining the nature of High Frequency Peakers. I. The spectral
variability | We investigate the spectral characteristics of 51 candidate High Frequency
Peakers (HFPs), from the ``bright'' HFP sample, in order to determine the
nature of each object, and to obtain a smaller sample of genuine young radio
sources. Simultaneous multi-frequency VLA observations carried out at various
epochs have been used to detect flux density and spectral shape variability in
order to pinpoint contaminant objects, since young radio sources are not
expected to be significantly variable on such a short time-scale. From the
analysis of the spectral variability we find 13 contaminant objects, 11
quasars, 1 BL Lac, and 1 unidentified object, which we have rejected from the
sample of candidate young radio sources. The 6 years elapsed between the first
and latest observing run are not enough to detect any substantial evolution of
the overall spectrum of genuine, non variable, young radio sources. If we also
consider the pc-scale information, we find that the total radio spectrum we
observe is the result of the superposition of the spectra of different regions
(lobes, hot-spots, core, jets), instead of a single homogeneous radio
component. This indicates that the radio source structure plays a relevant role
in determining the spectral shape also in the rather common case in which the
morphology appears unresolved even on high-resolution scales.
| astro-ph | we investigate the spectral characteristics of 51 candidate high frequency peakers hfps from the bright hfp sample in order to determine the nature of each object and to obtain a smaller sample of genuine young radio sources simultaneous multifrequency vla observations carried out at various epochs have been used to detect flux density and spectral shape variability in order to pinpoint contaminant objects since young radio sources are not expected to be significantly variable on such a short timescale from the analysis of the spectral variability we find 13 contaminant objects 11 quasars 1 bl lac and 1 unidentified object which we have rejected from the sample of candidate young radio sources the 6 years elapsed between the first and latest observing run are not enough to detect any substantial evolution of the overall spectrum of genuine non variable young radio sources if we also consider the pcscale information we find that the total radio spectrum we observe is the result of the superposition of the spectra of different regions lobes hotspots core jets instead of a single homogeneous radio component this indicates that the radio source structure plays a relevant role in determining the spectral shape also in the rather common case in which the morphology appears unresolved even on highresolution scales | [['we', 'investigate', 'the', 'spectral', 'characteristics', 'of', '51', 'candidate', 'high', 'frequency', 'peakers', 'hfps', 'from', 'the', 'bright', 'hfp', 'sample', 'in', 'order', 'to', 'determine', 'the', 'nature', 'of', 'each', 'object', 'and', 'to', 'obtain', 'a', 'smaller', 'sample', 'of', 'genuine', 'young', 'radio', 'sources', 'simultaneous', 'multifrequency', 'vla', 'observations', 'carried', 'out', 'at', 'various', 'epochs', 'have', 'been', 'used', 'to', 'detect', 'flux', 'density', 'and', 'spectral', 'shape', 'variability', 'in', 'order', 'to', 'pinpoint', 'contaminant', 'objects', 'since', 'young', 'radio', 'sources', 'are', 'not', 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708.398 | On a characterization of PPT states | We present two different descriptions of positive partially transposed (PPT)
states. One is based on the theory of positive maps while the second
description provides a characterization of PPT states in terms of Hilbert space
vectors. Our note is based on our previous results.
| quant-ph | we present two different descriptions of positive partially transposed ppt states one is based on the theory of positive maps while the second description provides a characterization of ppt states in terms of hilbert space vectors our note is based on our previous results | [['we', 'present', 'two', 'different', 'descriptions', 'of', 'positive', 'partially', 'transposed', 'ppt', 'states', 'one', 'is', 'based', 'on', 'the', 'theory', 'of', 'positive', 'maps', 'while', 'the', 'second', 'description', 'provides', 'a', 'characterization', 'of', 'ppt', 'states', 'in', 'terms', 'of', 'hilbert', 'space', 'vectors', 'our', 'note', 'is', 'based', 'on', 'our', 'previous', 'results']] | [-0.13280889877668497, 0.10512177860999311, -0.08319624496454542, 0.006630331150848757, 0.008859870997680859, -0.08887626889124724, 0.02174655716622841, 0.2942920281678777, -0.17773760509126904, -0.2139282969927246, 0.11022328106760555, -0.30743615750477393, -0.1543968107382005, 0.18090070166032424, -0.060158267384395, 0.04176942648006265, 0.06134613707068969, 0.05127695795487274, -0.12608407462671908, -0.28388519141960633, 0.4372226436601274, -0.00230069786564193, 0.2642784641039642, 0.09162251846018163, 0.14926945682699708, -0.0069417577681385656, -0.059240746438841925, -0.007072947274454319, -0.10316932965493338, 0.229320544995558, 0.266566367756406, 0.18699187774803827, 0.24254766580733386, -0.39730715700848535, -0.19097700046206062, 0.06341198981019923, 0.05258255037055774, 0.12998719373188744, -0.05056588337439197, -0.3217277018861337, 0.06749513182148803, -0.10655888434584168, -0.04864291918718002, -0.1363389092412862, -0.011205354641953652, -0.06806719684258992, -0.2652547546048564, 0.0783034449189224, 0.10097384672950614, 0.04885200595229187, -0.11174050683621317, -0.1718629561787979, -0.027083303472450512, 0.12180614811156622, -0.06549209569030526, -0.0014520661365664141, 0.06813599326944147, -0.033492442961274224, -0.15970749355090613, 0.322884135117585, -0.09812182378399567, -0.26341793059625407, 0.2181164634054188, -0.1787138828923079, -0.16482232424261217, 0.12095009884797037, 0.12840671050997282, 0.17601126396435907, -0.06128694337200035, 0.04839813047808341, -0.17086250182579865, 0.1977673114108091, 0.04040245813402263, 0.09800268303264272, 0.17058851142329248, 0.1107138878538866, 0.11591745532033118, 0.18328087801769885, -0.0067058427534489465, -0.09134899776174941, -0.378422610165382, -0.1969414655838839, -0.21785829605704005, 0.021563467701939357, -0.03418152834373442, -0.16295163737694648, 0.47453112505503336, 0.10820849231359633, 0.2354968970810825, 0.07862999946386977, 0.2573060758242553, 0.08447417549640787, -0.01708990064534274, 0.014146708809262649, 0.2028783730612221, 0.171429758425802, 0.00858754732392051, -0.12407580638814993, 0.0727381791432642, 0.13626340998929332] |
708.3981 | Gaps in the differential forms spectrum on cyclic coverings | We are interested in the spectrum of the Hodge-de Rham operator on a cyclic
covering $X$ over a compact manifold $M$ of dimension $n+1$. Let $\Sigma$ be a
hypersurface in $M$ which does not disconnect $M$ and such that $M-\Sigma$ is a
fundamental domain of the covering. If the cohomology group $H^{n/2 (\Sigma)$
is trivial, we can construct for each $N \in \N$ a metric $g=g_N$ on $M$, such
that the Hodge-de Rham operator on the covering $(X,g)$ has at least $N$ gaps
in its (essential) spectrum. If $H^{n/2}(\Sigma) \ne 0$, the same statement
holds true for the Hodge-de Rham operators on $p$-forms provided $p \notin
\{n/2,n/2+1\}$.
| math.DG | we are interested in the spectrum of the hodgede rham operator on a cyclic covering x over a compact manifold m of dimension n1 let sigma be a hypersurface in m which does not disconnect m and such that msigma is a fundamental domain of the covering if the cohomology group hn2 sigma is trivial we can construct for each n in n a metric gg_n on m such that the hodgede rham operator on the covering xg has at least n gaps in its essential spectrum if hn2sigma ne 0 the same statement holds true for the hodgede rham operators on pforms provided p notin n2n21 | [['we', 'are', 'interested', 'in', 'the', 'spectrum', 'of', 'the', 'hodgede', 'rham', 'operator', 'on', 'a', 'cyclic', 'covering', 'x', 'over', 'a', 'compact', 'manifold', 'm', 'of', 'dimension', 'n1', 'let', 'sigma', 'be', 'a', 'hypersurface', 'in', 'm', 'which', 'does', 'not', 'disconnect', 'm', 'and', 'such', 'that', 'msigma', 'is', 'a', 'fundamental', 'domain', 'of', 'the', 'covering', 'if', 'the', 'cohomology', 'group', 'hn2', 'sigma', 'is', 'trivial', 'we', 'can', 'construct', 'for', 'each', 'n', 'in', 'n', 'a', 'metric', 'gg_n', 'on', 'm', 'such', 'that', 'the', 'hodgede', 'rham', 'operator', 'on', 'the', 'covering', 'xg', 'has', 'at', 'least', 'n', 'gaps', 'in', 'its', 'essential', 'spectrum', 'if', 'hn2sigma', 'ne', '0', 'the', 'same', 'statement', 'holds', 'true', 'for', 'the', 'hodgede', 'rham', 'operators', 'on', 'pforms', 'provided', 'p', 'notin', 'n2n21']] | [-0.24439341341633172, 0.09224777184205041, -0.09500300491206526, 0.0561752236426054, -0.07551054387974242, -0.16130812339307296, -0.029295825727638745, 0.3377261814905242, -0.2579678885638714, -0.21774586725846998, 0.09707796166961392, -0.2884913384914398, -0.11602540518201533, 0.15923506484056513, -0.11948328539729118, -0.03354832111425432, 0.024203212765444602, 0.16408805518100658, -0.07481014062096143, -0.23293014747933263, 0.4142100553782213, -0.08200359997295198, 0.15429555314947807, 0.02193321373668455, 0.08559115775639102, 0.02230337110924579, 0.03832767346785182, -0.021755712463830908, -0.15950162792647635, 0.0799609376012259, 0.320231969352989, 0.09649134662578858, 0.21062647982367447, -0.3224058526257674, -0.171982876230253, 0.22449405133014633, 0.1610599880993721, -0.082380221532436, 0.027296126317898076, -0.23122872412204742, 0.18301150574836703, -0.087678836250589, -0.15012298794463277, 0.002373498970908778, 0.13039584878299917, -0.05045901251335939, -0.2552460686747162, -0.00018847908913379623, 0.10244010374659583, 0.06576433375123002, -0.043374171479427744, -0.157811854212057, -0.13244930904447322, 0.08795774501548814, -0.07414744927414826, 0.09236471884484802, 0.06914503284330879, -0.050484810497367846, -0.059746835309834705, 0.3783549103309356, -0.15068728597834707, -0.22620044902321837, 0.09071309875164713, -0.24050610053707802, -0.19709387451210725, 0.1009169438920383, 0.0679357862986979, 0.19866114169847043, 0.032701820906783856, 0.31068231241633404, -0.10864083420130469, 0.1710852461201804, 0.09219198537036954, 0.004277368723636581, 0.13232245728196132, 0.09624071998432988, 0.15391878185217225, 0.011670152903977958, 0.0016761381489535172, 0.024050347258647284, -0.37763844409159253, -0.20376264965605168, -0.1879379940307921, 0.20834087844996246, -0.1380293220147169, -0.15176684799648466, 0.33387798157387544, 0.014022033792432574, 0.2235129071499354, 0.0952894586504304, 0.20345862009978322, 0.07559638714994349, 0.04621370096380512, 0.11541800333985261, 0.10162248050882702, 0.1878673763768304, 0.023907907674133422, -0.15943722778132985, -0.04313593558701021, 0.17064085738910806] |
708.3982 | Atomic-charge distribution in glasses by terahertz spectroscopy | It is demonstrated that the width of the uncorrelated atomic-charge
distribution in glasses can be extracted from the frequency dependence of the
coupling coefficient for the far-infrared absorption measured experimentally by
the time-domain terahertz spectroscopy technique. This value for As2S3 glass is
found to be 0.12 (e). A density functional theory-based tight-binding molecular
dynamics model of As2S3 glass qualitatively supports these findings.
| cond-mat.dis-nn | it is demonstrated that the width of the uncorrelated atomiccharge distribution in glasses can be extracted from the frequency dependence of the coupling coefficient for the farinfrared absorption measured experimentally by the timedomain terahertz spectroscopy technique this value for as2s3 glass is found to be 012 e a density functional theorybased tightbinding molecular dynamics model of as2s3 glass qualitatively supports these findings | [['it', 'is', 'demonstrated', 'that', 'the', 'width', 'of', 'the', 'uncorrelated', 'atomiccharge', 'distribution', 'in', 'glasses', 'can', 'be', 'extracted', 'from', 'the', 'frequency', 'dependence', 'of', 'the', 'coupling', 'coefficient', 'for', 'the', 'farinfrared', 'absorption', 'measured', 'experimentally', 'by', 'the', 'timedomain', 'terahertz', 'spectroscopy', 'technique', 'this', 'value', 'for', 'as2s3', 'glass', 'is', 'found', 'to', 'be', '012', 'e', 'a', 'density', 'functional', 'theorybased', 'tightbinding', 'molecular', 'dynamics', 'model', 'of', 'as2s3', 'glass', 'qualitatively', 'supports', 'these', 'findings']] | [-0.07502477930583915, 0.17055879078316885, -0.14869987321864875, 0.012597395691135134, -0.005367090437011641, -0.11302035852320126, 0.025450002799024346, 0.4598650675816614, -0.25220018336702077, -0.2650692853160569, 0.016256069556474077, -0.2966382140751745, -0.1521442249783727, 0.186467222071665, 0.08026785930221686, 0.06924116756713598, -0.021183653307132056, -0.07794789558459746, -0.01523194147167025, -0.12995156567146787, 0.2208167586139724, 0.05412167469497587, 0.3531522771007702, 0.10209114554139678, 0.030850790837993386, 0.002143331841550401, 0.04705657572943534, 0.02594907794025589, -0.18678643179307863, 0.07816716257604908, 0.28104615153470003, -0.008947449049255887, 0.20218649101214575, -0.3619801178574562, -0.27618575236592136, -0.001340337922094298, 0.09861191992312059, 0.0892064391757499, -0.019594749443416225, -0.27073455091993337, 0.055239189637550076, -0.1457695040286931, -0.14568821549010996, -0.05383739253643473, 0.014464964979465623, 0.03002050081668727, -0.2800200226731965, 0.11937657352842268, -0.031772947366364664, 0.0666721979247742, -0.0868478366860845, -0.12918217529038914, -0.05350836472524727, 0.04466485410745515, -0.03175822194459558, 0.04981133937988369, 0.20133034768896024, -0.07056377365131725, -0.08500555358430156, 0.34183580128449303, -0.14371038908825912, -0.1239803865920279, 0.127500402344177, -0.20947348708897584, -0.06232465068489069, 0.1858879313880547, 0.06650001203000057, 0.10179554504250772, -0.1775505007225562, 0.036961349899132474, -0.023531796774716254, 0.2607562967621889, 0.029521245158231648, 0.04635697443679464, 0.23682931621299416, 0.2004699408435492, -0.042857782461023966, 0.12348912218318428, -0.14692937564410147, -0.04068971050475709, -0.1951613819501439, -0.10058428190618021, -0.3067769919842726, 0.08443748934163911, -0.09915101888482689, -0.1235795477782109, 0.3911358702653011, 0.17537147395282252, 0.20299971944912046, 0.022165722335826178, 0.2740591146723657, 0.17167623471621363, 0.07832888700067997, -0.017089936195216218, 0.29324568134778345, 0.1759965303468472, 0.08695259879602761, -0.2840134214999185, 0.09200409261631917, -0.018893328749147228] |
708.3983 | Unifying inflation and dark matter with neutrino masses | We propose a simple model where a {\it gauge invariant inflaton} is
responsible for cosmic inflation and generates the seed for structure
formation, while its relic {\it thermal} abundance explains the missing matter
of the universe in the form of cold dark matter. The inflaton self-coupling
also explains the observed neutrino masses. All the virtues can be attained in
a minimal extension of the Standard Model gauge group around the TeV scale. We
can also unveil these properties of an inflaton in forthcoming space and ground
based experiments.
| hep-ph astro-ph gr-qc hep-th | we propose a simple model where a it gauge invariant inflaton is responsible for cosmic inflation and generates the seed for structure formation while its relic it thermal abundance explains the missing matter of the universe in the form of cold dark matter the inflaton selfcoupling also explains the observed neutrino masses all the virtues can be attained in a minimal extension of the standard model gauge group around the tev scale we can also unveil these properties of an inflaton in forthcoming space and ground based experiments | [['we', 'propose', 'a', 'simple', 'model', 'where', 'a', 'it', 'gauge', 'invariant', 'inflaton', 'is', 'responsible', 'for', 'cosmic', 'inflation', 'and', 'generates', 'the', 'seed', 'for', 'structure', 'formation', 'while', 'its', 'relic', 'it', 'thermal', 'abundance', 'explains', 'the', 'missing', 'matter', 'of', 'the', 'universe', 'in', 'the', 'form', 'of', 'cold', 'dark', 'matter', 'the', 'inflaton', 'selfcoupling', 'also', 'explains', 'the', 'observed', 'neutrino', 'masses', 'all', 'the', 'virtues', 'can', 'be', 'attained', 'in', 'a', 'minimal', 'extension', 'of', 'the', 'standard', 'model', 'gauge', 'group', 'around', 'the', 'tev', 'scale', 'we', 'can', 'also', 'unveil', 'these', 'properties', 'of', 'an', 'inflaton', 'in', 'forthcoming', 'space', 'and', 'ground', 'based', 'experiments']] | [-0.13891315682981673, 0.22700735426720217, -0.11921172264159065, 0.18393572215228976, -0.1033233693782346, -0.08869613401210782, -0.043100693824023685, 0.3303346809645353, -0.24082960044457155, -0.33530212598006154, 0.033057002680090423, -0.21552020449995657, -0.0858062452382662, 0.1590836862557229, 0.025369497497608376, 0.004472162456129974, 0.008567746810678562, 0.055421101447956804, -0.0018167217494919896, -0.2628086604659488, 0.28904958913864737, 0.09379577071575279, 0.20303302139985713, 0.05603148395576599, 0.11363941061691465, -0.08713162734321403, -0.009534358523193408, -0.06383205580410008, -0.10493111747994342, 0.07962427264746194, 0.15140229221221738, 0.11273988463852386, 0.1655036720224995, -0.38999083753548225, -0.22835574445145373, 0.2091834568153982, 0.16416690581139515, 0.11971797823472033, -0.10683850637129085, -0.29590342299674044, 0.08242332367014817, -0.18720636124172332, -0.13993971126249313, -0.05860650062095374, -0.05984322621952742, -0.11125841241565385, -0.27136630521338456, 0.12109417388075433, -0.041789514070842415, -0.04242133338993881, -0.09115713204763862, -0.07514015513218263, -0.061939455023755065, 0.005107935814356262, 0.1191057178710418, 0.006845372781919485, 0.18563776478351263, -0.21140814551406287, -0.07644200554667888, 0.4643336580484174, -0.1600073156693146, -0.11141226217362353, 0.11610799412036696, -0.1524625066350299, -0.18291408286842686, 0.08912295807121237, 0.11846110478720882, 0.06276181615381078, -0.14088677410737463, 0.1917238710871061, -0.05624579146387987, 0.1727930509501179, 0.038496984356739136, 0.04277988360263407, 0.35515153308568354, 0.20209799528079617, 0.05073946597985923, 0.06256860567505514, -0.056800181469456715, -0.07386727882972495, -0.40646970097441226, -0.14498482706998897, -0.13767630240313752, 0.020899959972170604, -0.12386042474926481, -0.12715472196313468, 0.42823676735596644, 0.1592732351908291, 0.24886478985321114, 0.020718021515428765, 0.2653408637905324, 0.0568606422113424, 0.07604575774166733, 0.07286354279097974, 0.29396138059250504, 0.1310514775475233, 0.09394351879018359, -0.24275905307149515, 0.007104394512928345, 0.03648264468144837] |
708.3984 | Lectures on Nongeometric Flux Compactifications | These notes present a pedagogical review of nongeometric flux
compactifications. We begin by reviewing well-known geometric flux
compactifications in Type II string theory, and argue that one must include
nongeometric "fluxes" in order to have a superpotential which is invariant
under T-duality. Additionally, we discuss some elementary aspects of the
worldsheet description of nongeometric backgrounds. This review is based on
lectures given at the 2007 RTN Winter School at CERN.
| hep-th | these notes present a pedagogical review of nongeometric flux compactifications we begin by reviewing wellknown geometric flux compactifications in type ii string theory and argue that one must include nongeometric fluxes in order to have a superpotential which is invariant under tduality additionally we discuss some elementary aspects of the worldsheet description of nongeometric backgrounds this review is based on lectures given at the 2007 rtn winter school at cern | [['these', 'notes', 'present', 'a', 'pedagogical', 'review', 'of', 'nongeometric', 'flux', 'compactifications', 'we', 'begin', 'by', 'reviewing', 'wellknown', 'geometric', 'flux', 'compactifications', 'in', 'type', 'ii', 'string', 'theory', 'and', 'argue', 'that', 'one', 'must', 'include', 'nongeometric', 'fluxes', 'in', 'order', 'to', 'have', 'a', 'superpotential', 'which', 'is', 'invariant', 'under', 'tduality', 'additionally', 'we', 'discuss', 'some', 'elementary', 'aspects', 'of', 'the', 'worldsheet', 'description', 'of', 'nongeometric', 'backgrounds', 'this', 'review', 'is', 'based', 'on', 'lectures', 'given', 'at', 'the', '2007', 'rtn', 'winter', 'school', 'at', 'cern']] | [-0.10343573134658592, 0.20233882003064665, -0.08904709498664098, 0.16681067324409793, -0.12013139236452323, -0.16847845249410187, -0.01175344165115218, 0.30465609494463675, -0.11934084817767143, -0.3034762965781348, 0.12651063911284188, -0.2708496672633503, -0.18185831199350236, 0.12447827238855617, -0.23330796925084932, -0.0823356538212725, 0.033509539639843364, 0.004904264318091529, -0.12671269235267704, -0.3378863868436643, 0.3571253326754751, 0.08619605990658913, 0.29437356221356564, 0.06534678266533385, 0.1249636217020452, -0.06416772192876254, -0.13172218973881433, -0.018758207812373126, -0.1775653301244477, 0.12557914982483323, 0.2961201976452555, 0.09330602505610192, 0.09577717637377126, -0.5125769553972143, -0.1893216361823891, 0.0396864192427269, 0.08293276222954904, 0.13116068644948037, -0.0016001859896018038, -0.26409560029527973, 0.025492830953693816, -0.13329661881351576, -0.10737158485156084, -0.09000735439892327, 0.05557401922664472, -0.027534737304917404, -0.12226469814112144, -0.02239507584932393, 0.032020773459225896, 0.14965069465605277, -0.012993368852351393, -0.10358503962467824, -0.0037902414466121368, 0.006485375908336469, 0.1285729541110673, 0.053921107149549896, 0.1357785865597959, -0.16429882478966776, -0.17635949995102626, 0.33674364537000656, -0.018032254000926125, -0.15059444085428758, 0.10795312506878482, -0.08938359845695751, -0.267235065058672, 0.10899416180327534, 0.1361175170833511, 0.12135127244650253, -0.1861254764055567, 0.2063996260328817, 0.006741203654382843, 0.06593366432935, 0.09085600624925323, 0.03933529277066035, 0.3037388287617692, 0.10459975049431836, 0.016988160950131715, 0.1103097601261522, -0.030819312519659952, -0.10136629832642419, -0.5640817620176156, -0.06886566532775759, -0.05243190880199628, 0.18479880557528564, -0.008603684570698534, -0.15544238256157508, 0.40876129921525717, 0.13222134810473238, 0.1472418296283909, 0.02400369821615251, 0.1517428141619478, 0.06460200073197483, -0.04165007227233478, 0.055498483444431, 0.19849218336042082, 0.12734387783400183, 0.1546827812612589, -0.1582436771132052, -0.13426980371586977, 0.24875496218779258] |
708.3985 | Transient x-ray absorption spectroscopy of hydrated halogen atom | Time-resolved x-ray absorption spectroscopy monitors the transient species
generated by one-photon detachment of an electron from aqueous bromide.
Hydrated bromine atoms with a lifetime of ca. 17 ns were observed, nearly half
of which react with excess Br- to form Br2-. The K-edge spectra of the Br atom
and Br2- anion exhibit distinctive resonant transitions that are absent for the
Br- precursor. The absorption spectra indicate that the solvent shell around a
Br0 atom is defined primarily by hydrophobic interactions, in agreement with a
Monte Carlo simulation of the solvent structure.
| physics.chem-ph | timeresolved xray absorption spectroscopy monitors the transient species generated by onephoton detachment of an electron from aqueous bromide hydrated bromine atoms with a lifetime of ca 17 ns were observed nearly half of which react with excess br to form br2 the kedge spectra of the br atom and br2 anion exhibit distinctive resonant transitions that are absent for the br precursor the absorption spectra indicate that the solvent shell around a br0 atom is defined primarily by hydrophobic interactions in agreement with a monte carlo simulation of the solvent structure | [['timeresolved', 'xray', 'absorption', 'spectroscopy', 'monitors', 'the', 'transient', 'species', 'generated', 'by', 'onephoton', 'detachment', 'of', 'an', 'electron', 'from', 'aqueous', 'bromide', 'hydrated', 'bromine', 'atoms', 'with', 'a', 'lifetime', 'of', 'ca', '17', 'ns', 'were', 'observed', 'nearly', 'half', 'of', 'which', 'react', 'with', 'excess', 'br', 'to', 'form', 'br2', 'the', 'kedge', 'spectra', 'of', 'the', 'br', 'atom', 'and', 'br2', 'anion', 'exhibit', 'distinctive', 'resonant', 'transitions', 'that', 'are', 'absent', 'for', 'the', 'br', 'precursor', 'the', 'absorption', 'spectra', 'indicate', 'that', 'the', 'solvent', 'shell', 'around', 'a', 'br0', 'atom', 'is', 'defined', 'primarily', 'by', 'hydrophobic', 'interactions', 'in', 'agreement', 'with', 'a', 'monte', 'carlo', 'simulation', 'of', 'the', 'solvent', 'structure']] | [-0.05193788997001118, 0.19128193818695663, 0.010529847874487233, 0.01952766670146957, 0.07452678218380444, -0.17039311760519113, 0.07468729031776698, 0.45700077948470913, -0.22075164591402022, -0.3033539465550954, -0.04023861427299885, -0.409130062473317, -0.022959769998366634, 0.1004992655530158, 0.07397664818498824, -0.047970680944207644, 0.06323976832079804, -0.06856924341991544, -0.017684413104628524, -0.13106537001569651, 0.20446332711726428, 0.11013977011769183, 0.22180604202051957, 0.08733977306530707, 0.02719621237160431, -0.012747812245248093, 0.06758857883719935, 0.0001219902498026689, -0.14686956038882878, 0.09525764341362648, 0.24353436051557462, -0.006784849443162481, 0.14242417832784768, -0.4543767766509619, -0.21807322272409996, 0.01819057912927949, 0.14246157847034435, 0.07616350919965448, -0.13237818647176028, -0.29670073905338845, -0.00410685863915003, -0.1303774343493084, -0.12493210293663044, -0.010820830747899081, 0.02169071448345979, 0.08849864502230452, -0.23471626730752176, 0.09126423306556211, -0.028753216528437205, 0.11458305219809214, -0.14182430029225845, -0.13257193652292093, -0.11925489535141322, -0.006291807494643662, 0.028727785309052303, -0.01333952202823841, 0.2728911281589212, -0.05165130523964763, -0.05848895295833548, 0.3881866807389694, -0.13275937833823265, -0.01564180257005824, 0.18319020877695746, -0.19650960452337232, -0.08815312550998189, 0.356207375600934, 0.028721261790229213, 0.1564358686717848, -0.16045127086819977, 0.02987660886396447, -0.04201413951038072, 0.25168213621816704, 0.12839667105840313, 0.0323519759804185, 0.19087416794564988, 0.1529707114535591, -0.05506643284526136, 0.11613250765949487, -0.19194430334027857, -0.06898663598630163, -0.17470233958188652, -0.20585836054136356, -0.1525464445921696, 0.06783663201301048, -0.040085312491121135, -0.19399640244664623, 0.31293171149979265, 0.026514156727353112, 0.15625268398887582, -0.06561951086882295, 0.21845101666533284, 0.054446096987360054, 0.031021552833004132, -0.01538464385084808, 0.277345951501694, 0.13955377066352714, 0.1081762544422721, -0.3420250414275668, 0.13016937151292546, 0.002756256056535575] |
708.3986 | In-situ studies of bulk deformation structures: Static properties under
load and Dynamics during deformation | (Abridged, full abstract available in the text)
The main goal of the study presented in this thesis was to perform in-situ
investigations on deformation structures in plastically deformed
polycrystalline copper at low degrees (<5%) of tensile deformation. Copper is
taken as a model system for pure fcc metals.
A novel synchrotron-radiation based technique has been developed. The
technique allows for in-situ 3D reciprocal space mapping of reflections from
deeply-embedded individual grains in polycrystalline samples during tensile
deformation. We have shown that the resulting 3D maps from copper, consists of
bright sharp peaks superimposed on a cloud of enhanced intensity. It is
concluded that the individual peaks arise from the individual dislocation-free
regions (the subgrains) in the dislocation structure.
Based on data taken under static load, the strain distribution in and between
the individual subgrains is analyzed and compared to composite type models. The
consequences of stress relaxation and unloading is moreover discussed. The
dynamics of the dislocation structure are investigated by continuous and
stepwise deformation experiments. On the basis of such data the unset of
subgrain formation and the subgrain refinement process is analyzed.
| cond-mat.mtrl-sci | abridged full abstract available in the text the main goal of the study presented in this thesis was to perform insitu investigations on deformation structures in plastically deformed polycrystalline copper at low degrees 5 of tensile deformation copper is taken as a model system for pure fcc metals a novel synchrotronradiation based technique has been developed the technique allows for insitu 3d reciprocal space mapping of reflections from deeplyembedded individual grains in polycrystalline samples during tensile deformation we have shown that the resulting 3d maps from copper consists of bright sharp peaks superimposed on a cloud of enhanced intensity it is concluded that the individual peaks arise from the individual dislocationfree regions the subgrains in the dislocation structure based on data taken under static load the strain distribution in and between the individual subgrains is analyzed and compared to composite type models the consequences of stress relaxation and unloading is moreover discussed the dynamics of the dislocation structure are investigated by continuous and stepwise deformation experiments on the basis of such data the unset of subgrain formation and the subgrain refinement process is analyzed | [['abridged', 'full', 'abstract', 'available', 'in', 'the', 'text', 'the', 'main', 'goal', 'of', 'the', 'study', 'presented', 'in', 'this', 'thesis', 'was', 'to', 'perform', 'insitu', 'investigations', 'on', 'deformation', 'structures', 'in', 'plastically', 'deformed', 'polycrystalline', 'copper', 'at', 'low', 'degrees', '5', 'of', 'tensile', 'deformation', 'copper', 'is', 'taken', 'as', 'a', 'model', 'system', 'for', 'pure', 'fcc', 'metals', 'a', 'novel', 'synchrotronradiation', 'based', 'technique', 'has', 'been', 'developed', 'the', 'technique', 'allows', 'for', 'insitu', '3d', 'reciprocal', 'space', 'mapping', 'of', 'reflections', 'from', 'deeplyembedded', 'individual', 'grains', 'in', 'polycrystalline', 'samples', 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708.3987 | Background reduction and sensitivity for germanium double beta decay
experiments | Germanium detectors have very good capabilities for the investigation of rare
phenomena like the neutrinoless double beta decay. Rejection of the background
entangling the expected signal is one primary goal in this kind of experiments.
Here, the attainable background reduction in the energy region where the
neutrinoless double beta decay signal of 76Ge is expected to appear has been
evaluated for experiments using germanium detectors, taking into consideration
different strategies like the granularity of the detector system, the
segmentation of each individual germanium detector and the application of Pulse
Shape Analysis techniques to discriminate signal from background events.
Detection efficiency to the signal is affected by background rejection
techniques, and therefore it has been estimated for each of the background
rejection scenarios considered. Finally, conditions regarding crystal mass,
radiopurity, exposure to cosmic rays, shielding and rejection capabilities are
discussed with the aim to achieve a background level of 10-3 c keV-1 kg-1 y-1
in the region of interest, which would allow to explore neutrino effective
masses around 40 meV.
| nucl-ex | germanium detectors have very good capabilities for the investigation of rare phenomena like the neutrinoless double beta decay rejection of the background entangling the expected signal is one primary goal in this kind of experiments here the attainable background reduction in the energy region where the neutrinoless double beta decay signal of 76ge is expected to appear has been evaluated for experiments using germanium detectors taking into consideration different strategies like the granularity of the detector system the segmentation of each individual germanium detector and the application of pulse shape analysis techniques to discriminate signal from background events detection efficiency to the signal is affected by background rejection techniques and therefore it has been estimated for each of the background rejection scenarios considered finally conditions regarding crystal mass radiopurity exposure to cosmic rays shielding and rejection capabilities are discussed with the aim to achieve a background level of 103 c kev1 kg1 y1 in the region of interest which would allow to explore neutrino effective masses around 40 mev | [['germanium', 'detectors', 'have', 'very', 'good', 'capabilities', 'for', 'the', 'investigation', 'of', 'rare', 'phenomena', 'like', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'rejection', 'of', 'the', 'background', 'entangling', 'the', 'expected', 'signal', 'is', 'one', 'primary', 'goal', 'in', 'this', 'kind', 'of', 'experiments', 'here', 'the', 'attainable', 'background', 'reduction', 'in', 'the', 'energy', 'region', 'where', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'signal', 'of', '76ge', 'is', 'expected', 'to', 'appear', 'has', 'been', 'evaluated', 'for', 'experiments', 'using', 'germanium', 'detectors', 'taking', 'into', 'consideration', 'different', 'strategies', 'like', 'the', 'granularity', 'of', 'the', 'detector', 'system', 'the', 'segmentation', 'of', 'each', 'individual', 'germanium', 'detector', 'and', 'the', 'application', 'of', 'pulse', 'shape', 'analysis', 'techniques', 'to', 'discriminate', 'signal', 'from', 'background', 'events', 'detection', 'efficiency', 'to', 'the', 'signal', 'is', 'affected', 'by', 'background', 'rejection', 'techniques', 'and', 'therefore', 'it', 'has', 'been', 'estimated', 'for', 'each', 'of', 'the', 'background', 'rejection', 'scenarios', 'considered', 'finally', 'conditions', 'regarding', 'crystal', 'mass', 'radiopurity', 'exposure', 'to', 'cosmic', 'rays', 'shielding', 'and', 'rejection', 'capabilities', 'are', 'discussed', 'with', 'the', 'aim', 'to', 'achieve', 'a', 'background', 'level', 'of', '103', 'c', 'kev1', 'kg1', 'y1', 'in', 'the', 'region', 'of', 'interest', 'which', 'would', 'allow', 'to', 'explore', 'neutrino', 'effective', 'masses', 'around', '40', 'mev']] | [-0.04262798356123754, 0.16008072823682834, -0.03809353944806922, 0.10076284164028275, -0.016379859952356655, -0.1449832701952246, 0.043604080185029634, 0.3673512360863608, -0.17820497685712736, -0.37282251754015155, 0.07276975061157553, -0.3366479749938393, -0.02846375837393061, 0.21190002704171476, -0.01321854907915977, 0.06567354254237205, 0.06401929060636452, 0.058212688043589575, -0.06337990177610679, -0.22150134509043581, 0.21888693681085955, 0.21595326780765897, 0.3106374821250917, 0.04521395344033661, 0.10423787979177646, -0.03538904670824313, -0.06498673199586427, -0.05180683142929916, -0.12949170851143155, 0.03232755768939456, 0.29680325160734355, 0.15483519695589, 0.1763980934732544, -0.3888271627176178, -0.19577889328343057, 0.14669158727691106, 0.12618531621978812, 0.019383866690545613, -0.11110363305083437, -0.3209557119624678, 0.11096706860299228, -0.16265932152036733, -0.1072935903274052, -0.014545482387711134, -0.03447727951601412, 0.0009576039162833663, -0.2683396625316002, 0.01726155129268892, 0.013039297166627628, -0.03298025480719537, -0.0381000299122427, -0.1595132557789591, 0.07557986987776746, 0.09683908260091258, 0.09158654577181793, 0.0043553991125105775, 0.2270357946482261, -0.15111869908028872, -0.10123352477183709, 0.35251752732420816, -0.05703931701880709, -0.1557226336544611, 0.1516375360299541, -0.19099353455811652, -0.12822812839449774, 0.2438292909391533, 0.16784334013661503, 0.07978542046015255, -0.18769542509193957, 0.07429234044159316, 0.10494803517544367, 0.19459903433356854, 0.09665846819135211, 0.07003296856264192, 0.24586347253723126, 0.2509770415855583, 0.05760854055254979, 0.0861789126571863, -0.21469688492678327, 0.004248547265802086, -0.30387878869853074, -0.13260793111138267, -0.09453504861018361, 0.04704034232917468, -0.049251535278899986, -0.12090184542862974, 0.3905711519372093, 0.12612573517839143, 0.13002120061039088, -0.05355556631259642, 0.29341547034636756, 0.055539240054896424, 0.06623106840625956, -0.06401743133932616, 0.3226523558352936, 0.13590654229246543, 0.07376323758277314, -0.2219460876259027, 0.04927194786923469, -0.008244366805239984] |
708.3988 | Semiclassical Evolution of Dissipative Markovian Systems | A semiclassical approximation for an evolving density operator, driven by a
"closed" hamiltonian operator and "open" markovian Lindblad operators, is
obtained. The theory is based on the chord function, i.e. the Fourier transform
of the Wigner function. It reduces to an exact solution of the Lindblad master
equation if the hamiltonian operator is a quadratic function and the Lindblad
operators are linear functions of positions and momenta.
Initially, the semiclassical formulae for the case of hermitian Lindblad
operators are reinterpreted in terms of a (real) double phase space, generated
by an appropriate classical double Hamiltonian. An extra "open" term is added
to the double Hamiltonian by the non-hermitian part of the Lindblad operators
in the general case of dissipative markovian evolution. The particular case of
generic hamiltonian operators, but linear dissipative Lindblad operators, is
studied in more detail. A Liouville-type equivariance still holds for the
corresponding classical evolution in double phase, but the centre subspace,
which supports the Wigner function, is compressed, along with expansion of its
conjugate subspace, which supports the chord function.
Decoherence narrows the relevant region of double phase space to the
neighborhood of a caustic for both the Wigner function and the chord function.
This difficulty is avoided by a propagator in a mixed representation, so that a
further "small-chord" approximation leads to a simple generalization of the
quadratic theory for evolving Wigner functions.
| quant-ph math-ph math.MP math.SG | a semiclassical approximation for an evolving density operator driven by a closed hamiltonian operator and open markovian lindblad operators is obtained the theory is based on the chord function ie the fourier transform of the wigner function it reduces to an exact solution of the lindblad master equation if the hamiltonian operator is a quadratic function and the lindblad operators are linear functions of positions and momenta initially the semiclassical formulae for the case of hermitian lindblad operators are reinterpreted in terms of a real double phase space generated by an appropriate classical double hamiltonian an extra open term is added to the double hamiltonian by the nonhermitian part of the lindblad operators in the general case of dissipative markovian evolution the particular case of generic hamiltonian operators but linear dissipative lindblad operators is studied in more detail a liouvilletype equivariance still holds for the corresponding classical evolution in double phase but the centre subspace which supports the wigner function is compressed along with expansion of its conjugate subspace which supports the chord function decoherence narrows the relevant region of double phase space to the neighborhood of a caustic for both the wigner function and the chord function this difficulty is avoided by a propagator in a mixed representation so that a further smallchord approximation leads to a simple generalization of the quadratic theory for evolving wigner functions | [['a', 'semiclassical', 'approximation', 'for', 'an', 'evolving', 'density', 'operator', 'driven', 'by', 'a', 'closed', 'hamiltonian', 'operator', 'and', 'open', 'markovian', 'lindblad', 'operators', 'is', 'obtained', 'the', 'theory', 'is', 'based', 'on', 'the', 'chord', 'function', 'ie', 'the', 'fourier', 'transform', 'of', 'the', 'wigner', 'function', 'it', 'reduces', 'to', 'an', 'exact', 'solution', 'of', 'the', 'lindblad', 'master', 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708.3989 | Time-delay in a multi-channel formalism | We reexamine the time-delay formalism of Wigner, Eisenbud and Smith, which
was developed to analyze both elastic and inelastic resonances. An error in the
paper of Smith has propagated through the literature. We correct this error and
show how the results of Eisenbud and Smith are related. We also comment on some
recent time-delay studies, based on Smith's erroneous interpretation of the
Eisenbud result.
| nucl-th hep-ph | we reexamine the timedelay formalism of wigner eisenbud and smith which was developed to analyze both elastic and inelastic resonances an error in the paper of smith has propagated through the literature we correct this error and show how the results of eisenbud and smith are related we also comment on some recent timedelay studies based on smiths erroneous interpretation of the eisenbud result | [['we', 'reexamine', 'the', 'timedelay', 'formalism', 'of', 'wigner', 'eisenbud', 'and', 'smith', 'which', 'was', 'developed', 'to', 'analyze', 'both', 'elastic', 'and', 'inelastic', 'resonances', 'an', 'error', 'in', 'the', 'paper', 'of', 'smith', 'has', 'propagated', 'through', 'the', 'literature', 'we', 'correct', 'this', 'error', 'and', 'show', 'how', 'the', 'results', 'of', 'eisenbud', 'and', 'smith', 'are', 'related', 'we', 'also', 'comment', 'on', 'some', 'recent', 'timedelay', 'studies', 'based', 'on', 'smiths', 'erroneous', 'interpretation', 'of', 'the', 'eisenbud', 'result']] | [-0.11388178767811041, 0.02781752251235048, -0.12659306485875277, 0.10082593434162845, -0.10003231418340874, -0.0843766527614207, 0.062059397941993666, 0.33682671579299495, -0.20745193649054272, -0.2383617996238172, 0.09218886450798891, -0.25091422714467626, -0.26727282503270544, 0.20744179470420931, -0.1351059841690585, 0.07995893839688506, 0.05314117349917069, -0.01585159858223051, -0.07009793232282391, -0.316600748556084, 0.38417856697924435, 0.12358673437847756, 0.23506999074015766, 0.11722396011464298, 0.050524129925179295, 0.05788604751433013, -0.13314429663296323, -0.01955411325525347, -0.2018940905109048, 0.11947385036182823, 0.19004091367241926, 0.13818212362821214, 0.23549472637387225, -0.42509650948341005, -0.1632753782760119, 0.05698290744476253, 0.12411182480718708, 0.14448056246510532, -0.021653273248375626, -0.3484544706007, 0.04313452780479565, -0.17609387055563275, -0.11638035862233664, -0.0898387309134705, 0.03703389392467216, 0.04759668586120824, -0.20750412956112996, 0.082088675185787, 0.09961917546388577, 0.030337328862515278, -0.03487003233021824, -0.1556906958721811, 0.0405493451798975, 0.06703591709083412, 0.04406225225284288, -0.010635054910380859, 0.07344245278181916, -0.06997778334698523, -0.13211610027065035, 0.29223209765405045, -0.07411963068807381, -0.12528237435617484, 0.15036660329133156, -0.1320448956103064, -0.14035151493590092, 0.06389577769732568, 0.130973743434879, 0.07794832205399871, -0.12729581887833774, 0.08415233310734038, -0.12016185241554922, 0.07704247715082602, 0.12633481263037538, -0.0030090552227193257, 0.07161670026835054, 0.09718021834123647, -0.05072705651400611, 0.09847466314022313, -0.09330448798573343, -0.06884218102641171, -0.262181336292997, -0.17558771592263156, -0.16439691733103245, 0.0648964981046447, -0.007968644814354775, -0.1168709349585697, 0.3746102507284377, 0.1945508009812329, 0.23823303481913172, 0.04543776741957117, 0.26703599479515105, 0.12903565079614054, -0.05286373673880007, 0.05940760365774622, 0.3153231302953827, 0.24425131516181864, 0.10027096085468656, -0.22881957000936382, 0.059708680822950555, 0.08655234225443564] |
708.399 | Extreme values of zeta and L-functions | We introduce a "resonance" method to produce large values of
$|\zeta(1/2+it)|$ and large and small central values of $L$-functions.
| math.NT math.CA | we introduce a resonance method to produce large values of zeta12it and large and small central values of lfunctions | [['we', 'introduce', 'a', 'resonance', 'method', 'to', 'produce', 'large', 'values', 'of', 'zeta12it', 'and', 'large', 'and', 'small', 'central', 'values', 'of', 'lfunctions']] | [-0.16456257983257896, 0.09348276478091352, -0.053955075085947386, 0.10027481772397694, -0.05850635321908876, -0.10475991105072592, 0.029622851307258793, 0.2548776056960617, -0.18009615238559873, -0.35083181175746414, 0.0849156460822805, -0.23134229018499977, -0.06329682488974772, 0.23075610423754706, -0.07825893433274407, 0.06262964680698994, 0.09264776424357765, 0.026038058984436487, -0.032775624557153174, -0.17609133810344102, 0.3408467004957952, -0.00045586955782614256, 0.20135310753003546, 0.10523659951592747, 0.12420417750744443, 0.0004435907069005464, 0.085153800974551, 0.007547687935201745, -0.17123178379169027, 0.22707774691087634, 0.27234129509643507, 0.028141004523556484, 0.3185486922922887, -0.33995037486678675, -0.04087903968205577, 0.20117001470766568, 0.058307920104676954, 0.13110665848331624, -0.033858166517395726, -0.24958091797797302, 0.16527673273690438, -0.21885401971246066, -0.1341342985948646, -0.19016003628310404, 0.045776228371419404, 0.1066305399137108, -0.36852514738903236, 0.1012038666951029, -0.01302717116318251, 0.12714883739030675, -0.07563067840314225, -0.2467156292282437, 0.10882916536770369, 0.12726818669685408, 0.12062521504336282, 0.009911120281015573, 0.125239964403016, -0.1342982142967613, 0.0024716843556808797, 0.31207247862690374, -0.1209515762564383, -0.1542455590771217, 0.13896159092454533, -0.30703751627649917, -0.14843794919158282, 0.15158067401008388, 0.2325906114358651, 0.18199174586487443, -0.014792123221253095, 0.051325330333048966, -0.06426006986906654, 0.14608778412404813, 0.046859205455372206, -0.0314192864063539, 0.21024439268206296, 0.06539949029684067, 0.04038528470616592, 0.1652859041565343, -0.21035459578821533, -0.05330824812776164, -0.3117910192201012, -0.13290504375962833, -0.20609528767435173, 0.04144179252417464, -0.14660832035741278, -0.2409119652584195, 0.3761104827648715, 0.2026779395283053, 0.38187407917882266, 0.12270709592849016, 0.2041745285846685, 0.1905543898281298, 0.24322338049349032, 0.03785215479958998, 0.15293937313713526, 0.17185937377967334, 0.0571408041409756, -0.1362714952985315, -0.01864881127288467, 0.06472343873036535] |
708.3991 | On ground fields of arithmetic hyperbolic reflection groups | Using authors's methods of 1980, 1981, some explicit finite sets of number
fields containing ground fields of arithmetic hyperbolic reflection groups are
defined, and good bounds of their degrees (over Q) are obtained. For example,
degree of the ground field of any arithmetic hyperbolic reflection group in
dimension at least 6 is bounded by 56. These results could be important for
further classification.
We also formulate a mirror symmetric conjecture to finiteness of the number
of arithmetic hyperbolic reflection groups which was established in full
generality recently.
| math.AG math.GT | using authorss methods of 1980 1981 some explicit finite sets of number fields containing ground fields of arithmetic hyperbolic reflection groups are defined and good bounds of their degrees over q are obtained for example degree of the ground field of any arithmetic hyperbolic reflection group in dimension at least 6 is bounded by 56 these results could be important for further classification we also formulate a mirror symmetric conjecture to finiteness of the number of arithmetic hyperbolic reflection groups which was established in full generality recently | [['using', 'authorss', 'methods', 'of', '1980', '1981', 'some', 'explicit', 'finite', 'sets', 'of', 'number', 'fields', 'containing', 'ground', 'fields', 'of', 'arithmetic', 'hyperbolic', 'reflection', 'groups', 'are', 'defined', 'and', 'good', 'bounds', 'of', 'their', 'degrees', 'over', 'q', 'are', 'obtained', 'for', 'example', 'degree', 'of', 'the', 'ground', 'field', 'of', 'any', 'arithmetic', 'hyperbolic', 'reflection', 'group', 'in', 'dimension', 'at', 'least', '6', 'is', 'bounded', 'by', '56', 'these', 'results', 'could', 'be', 'important', 'for', 'further', 'classification', 'we', 'also', 'formulate', 'a', 'mirror', 'symmetric', 'conjecture', 'to', 'finiteness', 'of', 'the', 'number', 'of', 'arithmetic', 'hyperbolic', 'reflection', 'groups', 'which', 'was', 'established', 'in', 'full', 'generality', 'recently']] | [-0.18002219246593357, 0.13170339900936032, -0.07187095778491134, 0.07384109517008108, -0.075395224484797, -0.12288890226112528, 0.029076102339587677, 0.35779868998703945, -0.2307640976304638, -0.3343260006004966, 0.14451861383939354, -0.231966846314762, -0.11909839414038706, 0.2515032385508048, -0.1128580054782074, 0.046154073826251446, -0.00985014469807047, 0.08953275526713195, -0.06658632579077592, -0.35143002625233655, 0.33900805034985143, -0.04315386593727202, 0.20291791035761608, 0.0643716161246358, 0.09974869920326204, 0.03423045047334042, -0.029953474494703543, 0.04706341715465332, -0.09981224165116062, 0.15140276552638274, 0.28697665216369106, 0.07501515369038043, 0.21901961851961396, -0.3617247013888996, -0.1955824392799545, 0.13831864087574783, 0.11469970090949008, 0.0867367038200877, -0.044990111238740645, -0.26438913614242926, 0.12244152446309554, -0.1461758206281664, -0.220992813422077, -0.05957165906398461, 0.029071158200941295, 0.03950164484759343, -0.223524147344903, 0.04131273240962965, 0.08276741783370146, 0.18733621877885756, -0.04643757162808344, -0.1484379712010509, -0.041759137032103946, 0.14042593032287584, 0.01587302082261049, -0.01116691658744353, 0.034335377283565616, -0.09164514281016228, -0.1495374537999046, 0.3568373555478094, -0.0016101116164662372, -0.17303830051216587, 0.17279201022338594, -0.16765464851418618, -0.14177273596562018, 0.18924283070339895, 0.15928853527996048, 0.09957646340501078, -0.03663900963448245, 0.16558588160156412, -0.1467624986811873, 0.1296570776712856, 0.17249203716329803, 0.017923068918887227, 0.10081823798961638, 0.05267009264307803, 0.04412416872921689, 0.1256806096396591, -0.019344285628276652, -0.031127568302226478, -0.3288277872763146, -0.1747056230817033, -0.15494012199984541, 0.09486859881897168, -0.11105429077632699, -0.14750551098781028, 0.3553720584203457, 0.041744856367251656, 0.10379992149256427, 0.09609325622053196, 0.23454201891590123, 0.10338462427212995, 0.040643058992900896, 0.07687453528727009, 0.15826852540064057, 0.22811482379202272, -0.05390920466074356, -0.12869226575518647, -0.022796784334912383, 0.137188262124673] |
708.3992 | The group of automorphisms of a real rational surface is n-transitive | Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebraic surfaces are isomorphic if and only if they are homeomorphic as topological surfaces. | math.AG | let x be a rational nonsingular compact connected real algebraic surface denote by autx the group of real algebraic automorphisms of x we show that the group autx acts ntransitively on x for all natural integers n as an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebraic surfaces are isomorphic if and only if they are homeomorphic as topological surfaces | [['let', 'x', 'be', 'a', 'rational', 'nonsingular', 'compact', 'connected', 'real', 'algebraic', 'surface', 'denote', 'by', 'autx', 'the', 'group', 'of', 'real', 'algebraic', 'automorphisms', 'of', 'x', 'we', 'show', 'that', 'the', 'group', 'autx', 'acts', 'ntransitively', 'on', 'x', 'for', 'all', 'natural', 'integers', 'n', 'as', 'an', 'application', 'we', 'give', 'a', 'new', 'and', 'simpler', 'proof', 'of', 'the', 'fact', 'that', 'two', 'rational', 'nonsingular', 'compact', 'connected', 'real', 'algebraic', 'surfaces', 'are', 'isomorphic', 'if', 'and', 'only', 'if', 'they', 'are', 'homeomorphic', 'as', 'topological', 'surfaces']] | [-0.23325675899084186, 0.12849813867151297, -0.10127218324743525, 0.029853284881207566, -0.1609827223968443, -0.18724925295305503, -0.0354138584020482, 0.3553224985658283, -0.3280634420438552, -0.1471064770463067, 0.10908478689970265, -0.29615121612876233, -0.19876453583292716, 0.27418335052338283, -0.14502286459778396, -0.11051787790173376, 0.0039978917215911436, 0.14135897173349496, -0.10615788886985991, -0.3658753932047058, 0.41515367753593857, -0.17761510571228786, 0.16478682752751128, 0.0689635321786496, 0.1382795583824037, -0.01541493604825416, 0.042569664930006565, 0.013299017296907243, -0.12045516359105765, 0.06692404019265948, 0.33915154569664263, 0.0798053914143271, 0.1454446037762313, -0.4242365628113629, -0.1659327416785691, 0.2682447429667686, 0.15589056791685207, -0.11389262050809995, -0.06068442495126592, -0.2772214519725719, 0.16478747482293507, -0.14078352989261628, -0.16947277940311273, -0.11260238630880773, 0.11273858806406947, 0.0046222565275892405, -0.19536432946546817, -0.08883743083209429, 0.09729996957147205, 0.12167595911928465, -0.018634961111287415, -0.08044761982844802, -0.160676987612174, 0.0969146869578202, -0.07421055899172181, 0.0920490576642972, 0.10847159805642047, 0.02366481863067184, -0.08410975512143382, 0.3916301093864399, -0.05304114643195775, -0.2479898045233018, 0.1289445225569144, -0.1480010020887663, -0.15603063590037572, 0.16823049323816955, 0.11499083650783753, 0.20104692042083808, 0.03946384047748337, 0.2586155435132702, -0.17255145944917286, 0.10638769445153819, 0.06006860827476206, -0.048910823755595884, 0.14390017299807933, 0.06946421070286715, 0.10698320223412043, 0.0736965438446135, 0.08824488215318972, 0.04598782037083112, -0.4036816565293661, -0.2068874541552029, -0.18698348516342558, 0.23299368969033615, -0.1418669020398815, -0.21833593529504788, 0.3372847940248083, 0.00200538570717187, 0.1731305456864582, 0.10422175120509847, 0.24557974834887075, 0.02494789632758729, 0.0030856006352467016, 0.09174110280008803, 0.01684378958503965, 0.20467279405779087, -0.16908374438586998, -0.091215649834493, -0.010470920786733779, 0.17086115510294764] |
708.3993 | Propagators in the continuum limit: from molecules to scalar fields | The propagator of linear molecules whose constituents interact through
oscillator potentials can be obtained in a closed form for $N$ atoms as long as
$N \leq 4$. We compute the propagator for arbitrary $N$ in the approximation $N
\gg 1$. Taking advantage of this result it is possible to analyze the limit in
which the molecule has an infinite number of constituents with infinitesimal
length of sepparation, corresponding to the quantization of a string, elastic
rod or the second quantization of a Klein Gordon particle. The evolution of
some specific initial conditions is also studied, namely the time development
of states with minimal dispersion and the effect of sudden perturbations on the
vacuum of the scalar field theory.
| quant-ph | the propagator of linear molecules whose constituents interact through oscillator potentials can be obtained in a closed form for n atoms as long as n leq 4 we compute the propagator for arbitrary n in the approximation n gg 1 taking advantage of this result it is possible to analyze the limit in which the molecule has an infinite number of constituents with infinitesimal length of sepparation corresponding to the quantization of a string elastic rod or the second quantization of a klein gordon particle the evolution of some specific initial conditions is also studied namely the time development of states with minimal dispersion and the effect of sudden perturbations on the vacuum of the scalar field theory | [['the', 'propagator', 'of', 'linear', 'molecules', 'whose', 'constituents', 'interact', 'through', 'oscillator', 'potentials', 'can', 'be', 'obtained', 'in', 'a', 'closed', 'form', 'for', 'n', 'atoms', 'as', 'long', 'as', 'n', 'leq', '4', 'we', 'compute', 'the', 'propagator', 'for', 'arbitrary', 'n', 'in', 'the', 'approximation', 'n', 'gg', '1', 'taking', 'advantage', 'of', 'this', 'result', 'it', 'is', 'possible', 'to', 'analyze', 'the', 'limit', 'in', 'which', 'the', 'molecule', 'has', 'an', 'infinite', 'number', 'of', 'constituents', 'with', 'infinitesimal', 'length', 'of', 'sepparation', 'corresponding', 'to', 'the', 'quantization', 'of', 'a', 'string', 'elastic', 'rod', 'or', 'the', 'second', 'quantization', 'of', 'a', 'klein', 'gordon', 'particle', 'the', 'evolution', 'of', 'some', 'specific', 'initial', 'conditions', 'is', 'also', 'studied', 'namely', 'the', 'time', 'development', 'of', 'states', 'with', 'minimal', 'dispersion', 'and', 'the', 'effect', 'of', 'sudden', 'perturbations', 'on', 'the', 'vacuum', 'of', 'the', 'scalar', 'field', 'theory']] | [-0.16715709635645598, 0.21005841555547977, -0.07374620986067587, 0.0409028464420818, -0.02608231894679877, -0.1270272817231842, 0.003797300621612459, 0.30322497558947176, -0.23676018044352531, -0.2864036733746274, 0.0658990766775484, -0.26996991258019054, -0.11122649745084345, 0.13243448446628153, 0.028021463491500188, 0.036293422929414884, 0.023424422609197915, 0.11988223757212743, -0.04963889494428857, -0.24092734790368317, 0.3059064629010092, 0.034546541284897134, 0.21296764482668418, 0.051264702517571106, 0.12460778166866328, 0.04650865894400029, 0.03581851083212174, 0.004018089865358212, -0.11654514559090902, 0.06823063383633111, 0.187065296010766, 0.05290073700424316, 0.23412041450476545, -0.45905266109949505, -0.19419331251619718, 0.09744671259361964, 0.16970194537893066, 0.13754815886764285, -0.00430367070010915, -0.2439412465120037, 0.060057562680389635, -0.15400596876811778, -0.19308068210848123, -0.028572719735212814, 0.09132034827171005, 0.010845176819871124, -0.25278311612036747, 0.03339255920638187, 0.06466121281075299, 0.01803008194726247, -0.0754978190908511, -0.10433292124245284, -0.02002718753547559, 0.11686492127637005, 0.051646405986199774, 0.01838542404385586, 0.110859837486139, -0.1467578293234269, -0.08094074512169194, 0.389116297257093, -0.1210572661107613, -0.23711958674029407, 0.1224965136577813, -0.14746653211390615, -0.09815978971867162, 0.12440136353222606, 0.13657160679228666, 0.12556202939097594, -0.1019122456240221, 0.16418526019516966, -0.031136266394661598, 0.1234609550362628, 0.1380833705377757, 0.05184883810181776, 0.15064254977827907, 0.13209468726880658, 0.029941330835000318, 0.16072501591506264, -0.050285858764814645, -0.10445091551474224, -0.35701601622769463, -0.18158076867524886, -0.1984326355995085, 0.1188503513391265, -0.12010881032495715, -0.2052073004361019, 0.3670634219689597, 0.07070981470171987, 0.21422328394001874, 0.04800108298918025, 0.24374329974540535, 0.1409032578424861, 0.06416156174790145, 0.03726232793723416, 0.2092057255419612, 0.17827042360674653, 0.044303103963024594, -0.25462255748133095, -0.013969699378547251, 0.0735123305239229] |
708.3994 | BFKL at NNLO | We present a recent determination of an approximate expression for the
O(alpha_s^3) contribution chi_2 to the kernel of the BFKL equation. This
includes all collinear and anticollinear singular contributions and is derived
using duality relations between the GLAP and BFKL kernels.
| hep-ph | we present a recent determination of an approximate expression for the oalpha_s3 contribution chi_2 to the kernel of the bfkl equation this includes all collinear and anticollinear singular contributions and is derived using duality relations between the glap and bfkl kernels | [['we', 'present', 'a', 'recent', 'determination', 'of', 'an', 'approximate', 'expression', 'for', 'the', 'oalpha_s3', 'contribution', 'chi_2', 'to', 'the', 'kernel', 'of', 'the', 'bfkl', 'equation', 'this', 'includes', 'all', 'collinear', 'and', 'anticollinear', 'singular', 'contributions', 'and', 'is', 'derived', 'using', 'duality', 'relations', 'between', 'the', 'glap', 'and', 'bfkl', 'kernels']] | [-0.11622913751052692, 0.025417190060034046, -0.14230549414642155, 0.1413920627674088, -0.08192458207486197, -0.03383057530736551, -0.02129398313118145, 0.31671977527439593, -0.2264238579198718, -0.19928783550858498, 0.024860845477087425, -0.3466712858527899, -0.12302367226220667, 0.14748992854729295, 0.08425151912961155, 0.06685756258666516, 0.04055475982022472, -0.030619810218922794, -0.114821257913718, -0.1493939316365868, 0.3794479004573077, -0.0053562332643195985, 0.20595655690412967, 0.14581024672370405, 0.15099721273873, 0.07365643919911236, -0.0865555452881381, -0.09563056020997465, -0.16128751226933674, 0.16793366849888117, 0.25126562362420374, 0.05848707063123584, 0.14427189687266945, -0.3930217987392098, -0.06401100741932168, 0.05336206206120551, 0.1416007123858435, 0.08352660131640732, 0.05418507491704076, -0.2394099342636764, 0.06139013587962836, -0.22579104292672128, -0.1672695299726911, -0.1419078339356929, -0.0071789462119340895, -0.04466117465635762, -0.3408055015839636, 0.09317678822553717, 0.04707491986919195, -0.023787215026095508, -0.027169739035889505, -0.18376487903296948, 0.030974381091073155, 0.13769357408164068, 0.07085223204339855, 0.06938916392391548, 0.02342465935507789, -0.2200801114027854, -0.13752815057523549, 0.325313056941377, -0.06283417395316064, -0.19319974044337868, 0.11348903569742105, -0.1662724657333456, -0.15496070963563396, 0.09337617130950093, 0.11733131227083504, 0.12496085140228388, -0.22425401404034345, 0.1634919097254169, 0.0003501152154058218, 0.0906039451714605, 0.06090120989829302, 0.007290263148024678, 0.08140182956121862, 0.09390773992054165, -0.0102141059236601, 0.14931846105027943, -0.08054126737406478, -0.11526450446108356, -0.435988143645227, -0.11054235524497927, -0.13173449184105265, 0.021908608032390475, -0.16547623684054996, -0.17729351329617202, 0.358426259085536, 0.09975581386825069, 0.23052836125716566, 0.07725119853857905, 0.31585753625258806, 0.22964396946917986, 0.057191733201034364, 0.09759929394640494, 0.2323816342279315, 0.21804574183770456, 0.0966987511026673, -0.2855528333806433, 0.015253455078345723, 0.17915719971060753] |
708.3995 | Thermodynamic properties of binary HCP solution phases from special
quasirandom structures | Three different special quasirandom structures (SQS) of the substitutional
hcp $A_{1-x}B_x$ binary random solutions ($x=0.25$, 0.5, and 0.75) are
presented. These structures are able to mimic the most important pair and
multi-site correlation functions corresponding to perfectly random hcp
solutions at those compositions. Due to the relatively small size of the
generated structures, they can be used to calculate the properties of random
hcp alloys via first-principles methods. The structures are relaxed in order to
find their lowest energy configurations at each composition. In some cases, it
was found that full relaxation resulted in complete loss of their parental
symmetry as hcp so geometry optimizations in which no local relaxations are
allowed were also performed. In general, the first-principles results for the
seven binary systems (Cd-Mg, Mg-Zr, Al-Mg, Mo-Ru, Hf-Ti, Hf-Zr, and Ti-Zr) show
good agreement with both formation enthalpy and lattice parameters measurements
from experiments. It is concluded that the SQS's presented in this work can be
widely used to study the behavior of random hcp solutions.
| cond-mat.mtrl-sci cond-mat.stat-mech | three different special quasirandom structures sqs of the substitutional hcp a_1xb_x binary random solutions x025 05 and 075 are presented these structures are able to mimic the most important pair and multisite correlation functions corresponding to perfectly random hcp solutions at those compositions due to the relatively small size of the generated structures they can be used to calculate the properties of random hcp alloys via firstprinciples methods the structures are relaxed in order to find their lowest energy configurations at each composition in some cases it was found that full relaxation resulted in complete loss of their parental symmetry as hcp so geometry optimizations in which no local relaxations are allowed were also performed in general the firstprinciples results for the seven binary systems cdmg mgzr almg moru hfti hfzr and tizr show good agreement with both formation enthalpy and lattice parameters measurements from experiments it is concluded that the sqss presented in this work can be widely used to study the behavior of random hcp solutions | [['three', 'different', 'special', 'quasirandom', 'structures', 'sqs', 'of', 'the', 'substitutional', 'hcp', 'a_1xb_x', 'binary', 'random', 'solutions', 'x025', '05', 'and', '075', 'are', 'presented', 'these', 'structures', 'are', 'able', 'to', 'mimic', 'the', 'most', 'important', 'pair', 'and', 'multisite', 'correlation', 'functions', 'corresponding', 'to', 'perfectly', 'random', 'hcp', 'solutions', 'at', 'those', 'compositions', 'due', 'to', 'the', 'relatively', 'small', 'size', 'of', 'the', 'generated', 'structures', 'they', 'can', 'be', 'used', 'to', 'calculate', 'the', 'properties', 'of', 'random', 'hcp', 'alloys', 'via', 'firstprinciples', 'methods', 'the', 'structures', 'are', 'relaxed', 'in', 'order', 'to', 'find', 'their', 'lowest', 'energy', 'configurations', 'at', 'each', 'composition', 'in', 'some', 'cases', 'it', 'was', 'found', 'that', 'full', 'relaxation', 'resulted', 'in', 'complete', 'loss', 'of', 'their', 'parental', 'symmetry', 'as', 'hcp', 'so', 'geometry', 'optimizations', 'in', 'which', 'no', 'local', 'relaxations', 'are', 'allowed', 'were', 'also', 'performed', 'in', 'general', 'the', 'firstprinciples', 'results', 'for', 'the', 'seven', 'binary', 'systems', 'cdmg', 'mgzr', 'almg', 'moru', 'hfti', 'hfzr', 'and', 'tizr', 'show', 'good', 'agreement', 'with', 'both', 'formation', 'enthalpy', 'and', 'lattice', 'parameters', 'measurements', 'from', 'experiments', 'it', 'is', 'concluded', 'that', 'the', 'sqss', 'presented', 'in', 'this', 'work', 'can', 'be', 'widely', 'used', 'to', 'study', 'the', 'behavior', 'of', 'random', 'hcp', 'solutions']] | [-0.07366185108336007, 0.1415600346098938, -0.04400913761802679, 0.09312413735726917, -0.029180641273297822, -0.09427492798124326, 0.034407936459657076, 0.44333774796346337, -0.26772546449962936, -0.3035012592288961, 0.08004723016950642, -0.31282451454828286, -0.1521146452372394, 0.14909901319457808, 0.04099030962793111, 0.0821985639212937, 0.06786511609509656, 0.0010210369066221685, -0.11390711977955795, -0.28560819514038993, 0.25210590537910055, 0.054522153011398254, 0.28111253006429204, 0.001993329255705381, -0.008680363170087064, -0.03554751146613143, 0.05345587058435762, 0.0764786366014893, -0.15868408452279698, 0.07902988335174485, 0.2758619515707989, 0.02669129509581026, 0.18139651381387945, -0.4471470363517633, -0.19328626431524754, 0.05515677626741175, 0.09394526429525463, 0.13070312508157592, -0.05134071278664079, -0.21667731083395733, 0.14788996998970283, -0.13177870147259588, -0.09510965849182046, -0.11252113175578415, -0.0005164125951279591, 0.052921563900093956, -0.239993501977041, 0.06170452341544527, 0.017324307362730728, 0.029116682339141647, -0.1320225852129913, -0.18978067428063852, -0.08567890151625318, 0.11241074230964863, 0.015456741384696215, 0.012509979706586951, 0.1027812693252444, -0.050353714871140785, -0.11135334107086414, 0.45817570226471416, -0.003127766107975664, -0.16673791491875153, 0.24693677055780072, -0.15660938540496294, -0.16610713867845422, 0.14666970993076997, 0.14693015009993915, 0.12733540715502076, -0.17333534165149236, 0.03630571626552676, 0.0020090233482755494, 0.1839844301064703, 0.07886294929009703, 0.011878726422520873, 0.19063954311848913, 0.11574057359021248, 0.0057532495908473235, 0.15532306691904257, -0.06571017867862815, -0.10090498209408508, -0.20338497121772933, -0.10192131834025155, -0.17768415417550587, 0.014876979779418013, -0.10361929391134564, -0.1805409421752457, 0.34060495162365684, 0.09043182781010173, 0.19611605119369016, -0.010176454038251327, 0.1931351366475588, 0.0678804794187294, 0.08495444124252195, 0.05285460022902798, 0.24397087969519793, 0.14727945469047238, 0.08140150361648965, -0.21058336753971738, 0.11523984026351217, 0.013779769124705969] |
708.3996 | Models of crustal heating in accreting neutron stars | Heating associated with non-equilibrium nuclear reactions in accreting
neutron-star crusts is reconsidered, taking into account suppression of
neutrino losses demonstrated recently by Gupta et al. Two initial compositions
of the nuclear burning ashes, A=56 and A=106, are considered. Dependence of the
integrated crustal heating on uncertainties plaguing pycnonuclear reaction
models is studied.
One-component plasma approximation is used, with compressible liquid-drop
model of Mackie and Baym to describe nuclei. Evolution of a crust shell is
followed from 10^8 g/cm^3 to 10^(13.6) g/cm^3
The integrated heating in the outer crust agrees nicely with results of
self-considtent multicomponent plasma simulations of Gupta et al.; their
results fall between our curves obtained for A=56 and A=106. Total crustal heat
per one accreted nucleon ranges between 1.5 MeV to 1.9 MeV for A=106 and A=56,
respectively. The value of total crustal heat per nucleon depends weakly on the
presence of pycnonuclear reactions at densities 10^(12)-10^(13) g/cm^3.
Remarkable insensitivity of the total crustal heat on the details of the
distribution of nuclear processes in accreted crust is explained.
| astro-ph | heating associated with nonequilibrium nuclear reactions in accreting neutronstar crusts is reconsidered taking into account suppression of neutrino losses demonstrated recently by gupta et al two initial compositions of the nuclear burning ashes a56 and a106 are considered dependence of the integrated crustal heating on uncertainties plaguing pycnonuclear reaction models is studied onecomponent plasma approximation is used with compressible liquiddrop model of mackie and baym to describe nuclei evolution of a crust shell is followed from 108 gcm3 to 10136 gcm3 the integrated heating in the outer crust agrees nicely with results of selfconsidtent multicomponent plasma simulations of gupta et al their results fall between our curves obtained for a56 and a106 total crustal heat per one accreted nucleon ranges between 15 mev to 19 mev for a106 and a56 respectively the value of total crustal heat per nucleon depends weakly on the presence of pycnonuclear reactions at densities 10121013 gcm3 remarkable insensitivity of the total crustal heat on the details of the distribution of nuclear processes in accreted crust is explained | [['heating', 'associated', 'with', 'nonequilibrium', 'nuclear', 'reactions', 'in', 'accreting', 'neutronstar', 'crusts', 'is', 'reconsidered', 'taking', 'into', 'account', 'suppression', 'of', 'neutrino', 'losses', 'demonstrated', 'recently', 'by', 'gupta', 'et', 'al', 'two', 'initial', 'compositions', 'of', 'the', 'nuclear', 'burning', 'ashes', 'a56', 'and', 'a106', 'are', 'considered', 'dependence', 'of', 'the', 'integrated', 'crustal', 'heating', 'on', 'uncertainties', 'plaguing', 'pycnonuclear', 'reaction', 'models', 'is', 'studied', 'onecomponent', 'plasma', 'approximation', 'is', 'used', 'with', 'compressible', 'liquiddrop', 'model', 'of', 'mackie', 'and', 'baym', 'to', 'describe', 'nuclei', 'evolution', 'of', 'a', 'crust', 'shell', 'is', 'followed', 'from', '108', 'gcm3', 'to', '10136', 'gcm3', 'the', 'integrated', 'heating', 'in', 'the', 'outer', 'crust', 'agrees', 'nicely', 'with', 'results', 'of', 'selfconsidtent', 'multicomponent', 'plasma', 'simulations', 'of', 'gupta', 'et', 'al', 'their', 'results', 'fall', 'between', 'our', 'curves', 'obtained', 'for', 'a56', 'and', 'a106', 'total', 'crustal', 'heat', 'per', 'one', 'accreted', 'nucleon', 'ranges', 'between', '15', 'mev', 'to', '19', 'mev', 'for', 'a106', 'and', 'a56', 'respectively', 'the', 'value', 'of', 'total', 'crustal', 'heat', 'per', 'nucleon', 'depends', 'weakly', 'on', 'the', 'presence', 'of', 'pycnonuclear', 'reactions', 'at', 'densities', '10121013', 'gcm3', 'remarkable', 'insensitivity', 'of', 'the', 'total', 'crustal', 'heat', 'on', 'the', 'details', 'of', 'the', 'distribution', 'of', 'nuclear', 'processes', 'in', 'accreted', 'crust', 'is', 'explained']] | [-0.024611599977566477, 0.24823875196058962, -0.04165744922921637, 0.0840423822409802, -0.02605029278304702, -0.004308511068537722, 0.05196754416752168, 0.3081033422447303, -0.16972133864046018, -0.36038159881444537, -0.006119467388592003, -0.30434609671835516, 0.03581128219580826, 0.20033992489060276, -0.01840991344960297, 0.011801739078124656, 0.05869219373117256, -0.04787575853440691, -0.09644803360707181, -0.21339947788373512, 0.2591491258210119, 0.10597366595312077, 0.18985798146356556, 0.09603645602011752, 0.06315915295032455, -0.06539569960236001, -0.013722897301811506, -0.07350235735494233, -0.17425472486870336, 0.03739684781278758, 0.23386813128901635, 0.04276579772670041, 0.14935139268636705, -0.48911143717739514, -0.2897871050709749, 0.046956913441638735, 0.08840097056236118, 0.018216707415002233, -0.03140517234021579, -0.2093117716941325, 0.018202620843315826, -0.2683028034167364, -0.12188359173494118, -0.0074835300007287196, 0.08558369351170875, 0.061393233411747454, -0.2585491979271276, 0.19926188452826704, 0.058302750723326906, -0.004381470011054154, -0.18985609037199003, -0.24577693549970933, -0.08269795466433554, 0.003722451934727895, 0.04805154427132734, 0.03191414688224219, 0.27107510041335925, -0.10608846132698305, 0.027900042583453744, 0.37840222493909736, -0.03372215360046967, -0.04273911170004045, 0.15474049450336572, -0.16687505237265107, -0.11250596992870081, 0.20391274174017943, 0.1514877623385366, 0.08735041456461391, -0.1627917350297246, 0.021773689333349465, -0.03771207258892793, 0.15801617274170413, 0.09761269382776364, -0.03549613949075779, 0.23479103240379653, 0.22952196713509587, -0.05145244058769415, 0.07154531357193585, -0.1436760549495161, -0.09117403814349981, -0.2660669447761714, -0.048293246887624264, -0.12790437629583346, 0.08089123802149997, -0.05436926875229213, -0.08090643096365965, 0.30554404169978466, 0.06024687226094744, 0.17803548003601677, -0.056183267214938125, 0.2294088102055385, 0.09638019512640313, 0.04465465452658999, 0.15586798423627282, 0.3053468400722041, 0.31567054794799976, 0.10217168500701733, -0.31824544435366986, 0.092296362536795, 0.054297337630380166] |
708.3997 | The Charged Z(4433): Towards a New Spectroscopy | We identify the newly found Z(4433) with the first radial excitation of the
tetraquark basic supermultiplet to which X(3872) and X(3876) belong.
Experimental predictions following from this hypothesis are spelled out.
| hep-ph | we identify the newly found z4433 with the first radial excitation of the tetraquark basic supermultiplet to which x3872 and x3876 belong experimental predictions following from this hypothesis are spelled out | [['we', 'identify', 'the', 'newly', 'found', 'z4433', 'with', 'the', 'first', 'radial', 'excitation', 'of', 'the', 'tetraquark', 'basic', 'supermultiplet', 'to', 'which', 'x3872', 'and', 'x3876', 'belong', 'experimental', 'predictions', 'following', 'from', 'this', 'hypothesis', 'are', 'spelled', 'out']] | [-0.04215987497009337, 0.10869300561025738, -0.12141404170542955, 0.10482097263059889, -0.09406751108666261, -0.16213983713338773, 0.07208940380563339, 0.3448432799428701, -0.17327558607794344, -0.24981892680128415, -0.013082660641521216, -0.2523419267808398, -0.09735055986481408, 0.06888197891724607, 0.06529245680818956, 0.1063883384068807, 0.082282713901562, 0.04759566976378361, -0.018273634556680917, -0.22753111803904175, 0.3762192795674006, -0.015124101657420397, 0.17628195639699698, 0.03583561248766879, -0.037462423695251344, -0.09334918234186868, -0.03451490745258828, -0.11741179134696722, -0.13726702990631262, 0.10896114585921168, 0.21350188565750916, 0.14331178444748124, 0.1653140480319659, -0.3585140778993567, -0.11980730236197511, 0.05445103012025356, 0.1576670916285366, 0.11831516049084409, 0.04814772602791587, -0.3557883910834789, 0.1497066085692495, -0.16437425029774508, -0.16797061084459225, -0.104583046430101, 0.025282921642065047, 0.0036538468052943547, -0.24846859592944384, 0.11209511361084878, -0.03985519831379255, 0.0502687075175345, -0.14563654445422192, -0.24758316644777853, -0.07124396121750275, 0.01333416731407245, 0.11902958968033393, 0.060783588653430344, 0.13355433577671647, -0.06412671750877053, -0.1538263295777142, 0.36736243876318136, -0.015137050083527963, -0.14355982261671063, 0.15431562113420416, -0.1423691045337667, -0.25049858407195036, 0.08855776190757751, 0.061128280428238216, 0.06590886292979121, -0.17465520392482478, -0.022867018141550944, -0.1403039355141421, 0.16584977159897488, 0.0798540375661105, 0.0454510692662249, 0.2804897709594419, 0.1387897303327918, -0.09508939515799283, 0.12540165760243932, -0.0684303001811107, -0.08429650131923457, -0.42934986104567846, -0.1432219377097984, -0.11255331992482145, 0.1003506662324071, 0.056492764534292896, -0.08414721389611562, 0.39813807168975474, 0.17507282427201667, 0.19034264427609743, 0.0040231389653248096, 0.20770007657508055, 0.060409530081475774, 0.10292014349251985, 0.09211390617613992, 0.3135955225676298, 0.18681874259685477, 0.08688999641065796, -0.2531642750138417, 0.009431048622354865, -0.0037334166777630647] |
708.3998 | High-pressure infrared spectroscopy: tuning of the low-energy
excitations in correlated electron systems | We have extended the range of the high-pressure optical spectroscopy to the
far-infrared region keeping the accuracy of ambient-pressure experiments. The
newly-developed method offers a powerful tool for the study of pressure-induced
phase transitions and electronic-structural changes in correlated electron
systems. The novel-type optical pressure cell, equipped with large
free-aperture diamond window, allows the measurement of optical reflectivity
down to $\omega\approx20-30$ cm$^{-1}$ for hydrostatic pressures up to
$p\approx26$ kbar. The efficiency of the technique is demonstrated by the
investigation of the 2-dimensional charge-density-wave 1$T$-TaS$_2$ whose
electronic structure shows high sensitivity to external pressure. The
room-temperature semi-metallic phase of 1$T$-TaS$_2$ is effectively extended by
application of pressure and stabilized as the ground state above $p=14$ kbar.
The corresponding fully incoherent low-energy optical conductivity is almost
temperature independent below T=300 K. For intermediate pressures, the onset of
the low-temperature insulating phase is reflected by the sudden drop of the
reflectivity and by the emergence of sharp phonon resonances.
| cond-mat.str-el | we have extended the range of the highpressure optical spectroscopy to the farinfrared region keeping the accuracy of ambientpressure experiments the newlydeveloped method offers a powerful tool for the study of pressureinduced phase transitions and electronicstructural changes in correlated electron systems the noveltype optical pressure cell equipped with large freeaperture diamond window allows the measurement of optical reflectivity down to omegaapprox2030 cm1 for hydrostatic pressures up to papprox26 kbar the efficiency of the technique is demonstrated by the investigation of the 2dimensional chargedensitywave 1ttas_2 whose electronic structure shows high sensitivity to external pressure the roomtemperature semimetallic phase of 1ttas_2 is effectively extended by application of pressure and stabilized as the ground state above p14 kbar the corresponding fully incoherent lowenergy optical conductivity is almost temperature independent below t300 k for intermediate pressures the onset of the lowtemperature insulating phase is reflected by the sudden drop of the reflectivity and by the emergence of sharp phonon resonances | [['we', 'have', 'extended', 'the', 'range', 'of', 'the', 'highpressure', 'optical', 'spectroscopy', 'to', 'the', 'farinfrared', 'region', 'keeping', 'the', 'accuracy', 'of', 'ambientpressure', 'experiments', 'the', 'newlydeveloped', 'method', 'offers', 'a', 'powerful', 'tool', 'for', 'the', 'study', 'of', 'pressureinduced', 'phase', 'transitions', 'and', 'electronicstructural', 'changes', 'in', 'correlated', 'electron', 'systems', 'the', 'noveltype', 'optical', 'pressure', 'cell', 'equipped', 'with', 'large', 'freeaperture', 'diamond', 'window', 'allows', 'the', 'measurement', 'of', 'optical', 'reflectivity', 'down', 'to', 'omegaapprox2030', 'cm1', 'for', 'hydrostatic', 'pressures', 'up', 'to', 'papprox26', 'kbar', 'the', 'efficiency', 'of', 'the', 'technique', 'is', 'demonstrated', 'by', 'the', 'investigation', 'of', 'the', '2dimensional', 'chargedensitywave', '1ttas_2', 'whose', 'electronic', 'structure', 'shows', 'high', 'sensitivity', 'to', 'external', 'pressure', 'the', 'roomtemperature', 'semimetallic', 'phase', 'of', '1ttas_2', 'is', 'effectively', 'extended', 'by', 'application', 'of', 'pressure', 'and', 'stabilized', 'as', 'the', 'ground', 'state', 'above', 'p14', 'kbar', 'the', 'corresponding', 'fully', 'incoherent', 'lowenergy', 'optical', 'conductivity', 'is', 'almost', 'temperature', 'independent', 'below', 't300', 'k', 'for', 'intermediate', 'pressures', 'the', 'onset', 'of', 'the', 'lowtemperature', 'insulating', 'phase', 'is', 'reflected', 'by', 'the', 'sudden', 'drop', 'of', 'the', 'reflectivity', 'and', 'by', 'the', 'emergence', 'of', 'sharp', 'phonon', 'resonances']] | [-0.13183440755299097, 0.22452832825442065, -0.058022237436441505, -0.047115669166056535, -0.008908128249458969, -0.11197097201549791, 0.15611621081648322, 0.39490447179904503, -0.2693152882550892, -0.2930071716944344, 0.05929798346646988, -0.30109921900264836, -0.0859775578780835, 0.1674538657887177, 0.059410676603491946, 0.07291392090662971, -0.050560493065093304, -0.031135043172214768, -0.10518726053966307, -0.1720537905578232, 0.2791712365486953, 0.08334300495181723, 0.31261705419685887, 0.09863734490691538, 0.07606127772229038, -0.017403500830129672, 0.0877434843538427, -0.011546224070786449, -0.15331960684776086, 0.03371685295712125, 0.2928327745696726, -0.06952923230983288, 0.190988916053596, -0.36750178807108713, -0.2488964043165508, 0.02366498441092278, 0.0886159353387101, 0.10709888856907032, -0.038963728772183744, -0.2857852190316312, 0.05905834420915007, -0.11618050139728248, -0.18124955175076857, -0.13976266848438076, -0.042025352837395315, -0.028766041056338797, -0.22696181268953583, 0.137497950832384, 0.031010491048953936, 0.11239290692365582, -0.1307113561001882, -0.11305695101710674, -0.05580240480852999, 0.06764806642527937, -0.008329119297406195, 0.06139595644153336, 0.19630936552513098, -0.11131503797552891, -0.058358441018131806, 0.3729028950972286, -0.08158641281050605, 0.033972495327409556, 0.18491176034685372, -0.19489635138674394, -0.029451946997524875, 0.287510281517538, 0.11042277520525538, 0.06890100163199302, -0.12470539212020078, 0.06144821706364287, 0.025430297956949, 0.20819779910073666, 0.06955031190821166, 0.06240821120751973, 0.20658185102174206, 0.22072441283288705, 0.033431292767330124, 0.18993385805209217, -0.14413320754446382, -0.013149532998412676, -0.22006065473205558, -0.15360444048143873, -0.16128928254750607, 0.04553854127880186, -0.08698037967358112, -0.15547160269910054, 0.3796088549179809, 0.11541349267721862, 0.16572036107658947, -0.06913515471540832, 0.285267457482405, 0.10786548213294928, 0.061561695831666215, 0.033214158895517404, 0.2781227292603274, 0.2033811714163197, 0.15979506414824804, -0.3228040727952152, 0.048523933718618205, -0.011950907557069226] |
708.3999 | Spin Diagrams for Equal-Mass Black-Hole Binaries with Aligned Spins | Binary black-hole systems with spins aligned with the orbital angular
momentum are of special interest as they may be the preferred end-state of the
inspiral of generic supermassive binary black-hole systems. In view of this, we
have computed the inspiral and merger of a large set of binary systems of
equal-mass black holes with spins aligned with the orbital angular momentum but
otherwise arbitrary. By least-square fitting the results of these simulations
we have constructed two "spin diagrams" which provide straightforward
information about the recoil velocity |v_kick| and the final black-hole spin
a_fin in terms of the dimensionless spins a_1 and a_2 of the two initial black
holes. Overall they suggest a maximum recoil velocity of |v_kick|=441.94 km/s,
and minimum and maximum final spins a_fin=0.3471 and a_fin=0.9591,
respectively.
| gr-qc astro-ph | binary blackhole systems with spins aligned with the orbital angular momentum are of special interest as they may be the preferred endstate of the inspiral of generic supermassive binary blackhole systems in view of this we have computed the inspiral and merger of a large set of binary systems of equalmass black holes with spins aligned with the orbital angular momentum but otherwise arbitrary by leastsquare fitting the results of these simulations we have constructed two spin diagrams which provide straightforward information about the recoil velocity v_kick and the final blackhole spin a_fin in terms of the dimensionless spins a_1 and a_2 of the two initial black holes overall they suggest a maximum recoil velocity of v_kick44194 kms and minimum and maximum final spins a_fin03471 and a_fin09591 respectively | [['binary', 'blackhole', 'systems', 'with', 'spins', 'aligned', 'with', 'the', 'orbital', 'angular', 'momentum', 'are', 'of', 'special', 'interest', 'as', 'they', 'may', 'be', 'the', 'preferred', 'endstate', 'of', 'the', 'inspiral', 'of', 'generic', 'supermassive', 'binary', 'blackhole', 'systems', 'in', 'view', 'of', 'this', 'we', 'have', 'computed', 'the', 'inspiral', 'and', 'merger', 'of', 'a', 'large', 'set', 'of', 'binary', 'systems', 'of', 'equalmass', 'black', 'holes', 'with', 'spins', 'aligned', 'with', 'the', 'orbital', 'angular', 'momentum', 'but', 'otherwise', 'arbitrary', 'by', 'leastsquare', 'fitting', 'the', 'results', 'of', 'these', 'simulations', 'we', 'have', 'constructed', 'two', 'spin', 'diagrams', 'which', 'provide', 'straightforward', 'information', 'about', 'the', 'recoil', 'velocity', 'v_kick', 'and', 'the', 'final', 'blackhole', 'spin', 'a_fin', 'in', 'terms', 'of', 'the', 'dimensionless', 'spins', 'a_1', 'and', 'a_2', 'of', 'the', 'two', 'initial', 'black', 'holes', 'overall', 'they', 'suggest', 'a', 'maximum', 'recoil', 'velocity', 'of', 'v_kick44194', 'kms', 'and', 'minimum', 'and', 'maximum', 'final', 'spins', 'a_fin03471', 'and', 'a_fin09591', 'respectively']] | [-0.18872416713577886, 0.17978644257835377, -0.03483351158371907, 0.06788201537645777, -0.06822110441460358, -0.10916163190835859, -0.01132303995280943, 0.3527268010922291, -0.17086791056321887, -0.3291945688244773, 0.07407060060536534, -0.29640352017458194, -0.005537495422139158, 0.20580015076718072, 0.01667294337800363, 0.05677529812480012, 0.1203312303892685, 0.02161215851296353, -0.16300413090682672, -0.24199053364980028, 0.34041144783614297, 0.04665756241486567, 0.11583607366717444, -0.05239195803680071, 0.1530141009971863, 0.07148522432757223, 0.007932700477994797, 0.014817385665496917, -0.15322775123413743, 0.09001346426160355, 0.24953602317993234, 0.13254628347126934, 0.16925089267270385, -0.3505311140305991, -0.13865448161959648, 0.061954857864818434, 0.18659169426210587, 0.18192037679936465, -0.05223025900985652, -0.24512820636259194, 0.06383049137259993, -0.28023443128762204, -0.1223760376479931, -0.03863681507168141, 0.08102001821455675, 0.07795267368901551, -0.2224440516192254, 0.16137750471783122, 0.11964878653804582, -0.035724879827395806, -0.10192657660549068, -0.13122754810544535, -0.11978115760191245, 0.09273837938264952, 0.10382874229377727, 0.06928261149034844, 0.1558493084985975, -0.06904793455553188, -0.14947542108262216, 0.3600278322592499, 0.016054658365447255, -0.18298425606935337, 0.1762425420745238, -0.2556206680904332, -0.09277530148913099, 0.1302738501245489, 0.2005203198244023, 0.17449705767619417, -0.12408041811041341, -0.008517079859805422, 0.021182104833499808, 0.19265304294005944, 0.09110351003388442, 0.08317577252088766, 0.4438903917505489, 0.08128191816158653, -0.007265033628185832, 0.10844601271011511, -0.13608417669841186, -0.08970798329427475, -0.2197738882775108, -0.10935046392818534, -0.20295254258454087, 0.10528237263225322, -0.19892994374177814, -0.14006805138253584, 0.33648543640577455, 0.09165671490306958, 0.23573708341232638, 0.010021989842369487, 0.25564067799351187, 0.08241647793696076, 0.03293293239018781, 0.09737766970978762, 0.3325261307531983, 0.1737126837223314, 0.06337288677185107, -0.2817147608881445, 0.0011384929852121003, 0.032459548515517536] |
708.4 | Coherent Schwinger Interaction from Darboux Transformation | The exactly solvable scalar-tensor potential of the four-component Dirac
equation has been obtained by the Darboux transformation method. The
constructed potential has been interpreted in terms of nucleon-nucleon and
Schwinger interactions of neutral particles with lattice sites during their
channeling Hamiltonians of a Schwinger type is obtained by means of the Darboux
transformation chain. The analitic structure of the Lyapunov function of
periodic continuation for each of the Hamiltonians of the family is considered.
| hep-th | the exactly solvable scalartensor potential of the fourcomponent dirac equation has been obtained by the darboux transformation method the constructed potential has been interpreted in terms of nucleonnucleon and schwinger interactions of neutral particles with lattice sites during their channeling hamiltonians of a schwinger type is obtained by means of the darboux transformation chain the analitic structure of the lyapunov function of periodic continuation for each of the hamiltonians of the family is considered | [['the', 'exactly', 'solvable', 'scalartensor', 'potential', 'of', 'the', 'fourcomponent', 'dirac', 'equation', 'has', 'been', 'obtained', 'by', 'the', 'darboux', 'transformation', 'method', 'the', 'constructed', 'potential', 'has', 'been', 'interpreted', 'in', 'terms', 'of', 'nucleonnucleon', 'and', 'schwinger', 'interactions', 'of', 'neutral', 'particles', 'with', 'lattice', 'sites', 'during', 'their', 'channeling', 'hamiltonians', 'of', 'a', 'schwinger', 'type', 'is', 'obtained', 'by', 'means', 'of', 'the', 'darboux', 'transformation', 'chain', 'the', 'analitic', 'structure', 'of', 'the', 'lyapunov', 'function', 'of', 'periodic', 'continuation', 'for', 'each', 'of', 'the', 'hamiltonians', 'of', 'the', 'family', 'is', 'considered']] | [-0.1666570066028651, 0.1418339141759358, -0.07099252516062522, 0.06241319582746555, -0.04441286353011654, -0.13530265708925993, -0.018547728552470263, 0.337714515422305, -0.247453771276425, -0.22424640639187537, 0.017562805845606308, -0.29243225752286717, -0.1463211157346425, 0.1471356107049609, 0.08078274872051934, 0.10877050921218852, 0.03144794960238346, 0.07968575525901293, -0.12065327149012113, -0.26281385833703697, 0.33937014944927946, 0.04179755658906412, 0.20364405838645075, 0.01871433600222003, 0.13106579966332815, 0.07964724274862507, 0.025736864375537388, -0.03943893185829463, -0.10826834027132351, 0.07600397712767143, 0.16100324415410422, 0.05170874395854261, 0.20371017403811317, -0.37550292536616325, -0.2491085471024048, 0.10131330410503361, 0.17212257643982973, 0.1406663545879395, -0.0878873711375341, -0.35565765550334566, -0.0006655059270050428, -0.19409510488175366, -0.22938481836949717, -0.06895073691434035, 0.03330382418959108, 0.06982857612765407, -0.2212171900789381, 0.06441649647255361, 0.02642389504264479, 0.06102635037114689, -0.11841563223414633, -0.10317360494949229, -0.09120728953243935, 0.05296638287119057, 0.06723469477274442, 0.02881076010199238, 0.08343623874530401, -0.07455387955199774, -0.1501074317038978, 0.4555361740289524, -0.06408841235639706, -0.22667682408163808, 0.12235822667661186, -0.09935104908191994, -0.10530614023645447, 0.16520883076607365, 0.08291733525183102, 0.11337395971768523, -0.25869870048147076, 0.1867840066039855, -0.02305335450713357, 0.05887736821521635, 0.10130249725476112, -0.030604957704980895, 0.18799838817946307, 0.11203603936384803, -0.0074743127884113626, 0.1685643301996058, 0.007416406295530192, -0.13356242839514904, -0.29038579568062745, -0.1555792444245252, -0.2552947398683388, 0.049509602509541055, -0.08758098761888368, -0.16231410031857557, 0.46835603840547063, 0.04453969447139608, 0.12830500633851305, -0.003953360837616333, 0.15045578184550348, 0.21347320826137312, 0.11294961355511762, -0.019353449618928646, 0.26372212037916154, 0.17219372830442983, 0.0720743224892306, -0.268564276649993, -0.010878165960567046, 0.22655053617917512] |
708.4001 | Critical points of inner functions, nonlinear partial differential
equations, and an extension of Liouville's theorem | We establish an extension of Liouville's classical representation theorem for
solutions of the partial differential equation $\Delta u=4 e^{2u}$ and combine
this result with methods from nonlinear elliptic PDE to construct holomorphic
maps with prescribed critical points and specified boundary behaviour. For
instance, we show that for every Blaschke sequence $\{z_j\}$ in the unit disk
there is always a Blaschke product with $\{z_j\}$ as its set of critical
points. Our work is closely related to the Berger-Nirenberg problem in
differential geometry.
| math.CV math.AP | we establish an extension of liouvilles classical representation theorem for solutions of the partial differential equation delta u4 e2u and combine this result with methods from nonlinear elliptic pde to construct holomorphic maps with prescribed critical points and specified boundary behaviour for instance we show that for every blaschke sequence z_j in the unit disk there is always a blaschke product with z_j as its set of critical points our work is closely related to the bergernirenberg problem in differential geometry | [['we', 'establish', 'an', 'extension', 'of', 'liouvilles', 'classical', 'representation', 'theorem', 'for', 'solutions', 'of', 'the', 'partial', 'differential', 'equation', 'delta', 'u4', 'e2u', 'and', 'combine', 'this', 'result', 'with', 'methods', 'from', 'nonlinear', 'elliptic', 'pde', 'to', 'construct', 'holomorphic', 'maps', 'with', 'prescribed', 'critical', 'points', 'and', 'specified', 'boundary', 'behaviour', 'for', 'instance', 'we', 'show', 'that', 'for', 'every', 'blaschke', 'sequence', 'z_j', 'in', 'the', 'unit', 'disk', 'there', 'is', 'always', 'a', 'blaschke', 'product', 'with', 'z_j', 'as', 'its', 'set', 'of', 'critical', 'points', 'our', 'work', 'is', 'closely', 'related', 'to', 'the', 'bergernirenberg', 'problem', 'in', 'differential', 'geometry']] | [-0.14332890798291767, 0.0039263215150618005, -0.07162490757422976, 0.03124039515387267, -0.08211726512483976, -0.14639408117229188, -0.000651601953489453, 0.30035801107684773, -0.3429007848414282, -0.20796733092010758, 0.1280882375093499, -0.328727337135071, -0.16758928005583584, 0.19787220321135757, -0.11677923425744621, 0.10549338428191496, 0.04993101300809671, 0.07193809507391703, -0.07737382710336443, -0.2086524658643836, 0.42659712743795947, -0.09732259585332402, 0.16126933939076593, 0.032873226410168925, 0.13218993874680665, 0.000843633426192366, 0.009197997320213435, -0.02454315733026575, -0.2033980284523065, 0.09541985393432831, 0.29421770996356633, 0.08960189870727553, 0.2411076816626721, -0.359959764191579, -0.14811195423941553, 0.15536824022247284, 0.13151862912661869, 0.02253911096924617, -0.022050260679715855, -0.24104412835965186, 0.10084717597145541, -0.08822975616850373, -0.20673594014995075, -0.07225375782043018, 0.034453695800937253, 0.03448029561255725, -0.32389613758358693, 0.07241717932952775, 0.10333462267033296, 0.0829750406642065, -0.07740227623399272, -0.10569151931867739, -0.03885990112766991, 0.07081553357779796, 0.030313736201482422, 0.11386384393582925, 0.05398181220444701, -0.08390406716649455, -0.10238443078749158, 0.3526903053538667, -0.07404119463890423, -0.2781849309664082, 0.11581640065084269, -0.17109044605613122, -0.15292140284415195, 0.10352506180420334, 0.10335693330745455, 0.14395978064908657, -0.09592704195529222, 0.1333723806037372, -0.08700475240281473, 0.13294850750308898, 0.0943881181632111, -0.04034607863502094, 0.12419648801930892, 0.09461187351678993, 0.1546675871344812, 0.13206326946570182, 0.028261392466424975, -0.10805441184475283, -0.34324396967335985, -0.18000319538017115, -0.1325606156922417, 0.11304760664517496, -0.13598836095354025, -0.22686399335478558, 0.33676371902779295, 0.09809582893963742, 0.2184044105909121, 0.08763363814257362, 0.21385558569849825, 0.1936050422856495, 0.014794407744409033, 0.08335473532299799, 0.13613834848374495, 0.18608797201311883, 0.09876120665375097, -0.17365061720246794, -0.006236335049946735, 0.18572888618772043] |
708.4002 | Evidence for evolution from pure states to mixed states in pion creation
process pi(-) p -> pi(-)pi(+) n on polarized target and its physical
interpretation | In 1982 Hawking suggested that quantum fluctuations of space-time metric will
induce a non-unitary evolution from pure initial states to mixed final states
in particle interactions at any energy. This hypothesis can be tested using
existing CERN data on pi(-) p -> pi(-)pi(+) n on polarized target at 17.2
GeV/c. The purity of the final state is controlled by the purity of recoil
nucleon polarization. We develop a spin formalism to calculate expressions for
recoil nucleon polarization for two specific pure initial states. Imposing
conditions of purity on the recoil nuclon polarization we obtain conditions on
the amplitudes which are violated by model independent amplitude analysis of
CERN data at large t. We conclude that pure states can evolve into mixed states
in pi(-) p -> pi(-)pi(+) n. In quantum theory such non-unitary evolution occurs
in open quantum systems interacting with an environment. We present evidence to
validate the view of the pion creation process as an open quantum system
interacting with a quantum environment. The observed process is
time-irreversible and violates CPT symmetry.
| hep-ph gr-qc | in 1982 hawking suggested that quantum fluctuations of spacetime metric will induce a nonunitary evolution from pure initial states to mixed final states in particle interactions at any energy this hypothesis can be tested using existing cern data on pi p pipi n on polarized target at 172 gevc the purity of the final state is controlled by the purity of recoil nucleon polarization we develop a spin formalism to calculate expressions for recoil nucleon polarization for two specific pure initial states imposing conditions of purity on the recoil nuclon polarization we obtain conditions on the amplitudes which are violated by model independent amplitude analysis of cern data at large t we conclude that pure states can evolve into mixed states in pi p pipi n in quantum theory such nonunitary evolution occurs in open quantum systems interacting with an environment we present evidence to validate the view of the pion creation process as an open quantum system interacting with a quantum environment the observed process is timeirreversible and violates cpt symmetry | [['in', '1982', 'hawking', 'suggested', 'that', 'quantum', 'fluctuations', 'of', 'spacetime', 'metric', 'will', 'induce', 'a', 'nonunitary', 'evolution', 'from', 'pure', 'initial', 'states', 'to', 'mixed', 'final', 'states', 'in', 'particle', 'interactions', 'at', 'any', 'energy', 'this', 'hypothesis', 'can', 'be', 'tested', 'using', 'existing', 'cern', 'data', 'on', 'pi', 'p', 'pipi', 'n', 'on', 'polarized', 'target', 'at', '172', 'gevc', 'the', 'purity', 'of', 'the', 'final', 'state', 'is', 'controlled', 'by', 'the', 'purity', 'of', 'recoil', 'nucleon', 'polarization', 'we', 'develop', 'a', 'spin', 'formalism', 'to', 'calculate', 'expressions', 'for', 'recoil', 'nucleon', 'polarization', 'for', 'two', 'specific', 'pure', 'initial', 'states', 'imposing', 'conditions', 'of', 'purity', 'on', 'the', 'recoil', 'nuclon', 'polarization', 'we', 'obtain', 'conditions', 'on', 'the', 'amplitudes', 'which', 'are', 'violated', 'by', 'model', 'independent', 'amplitude', 'analysis', 'of', 'cern', 'data', 'at', 'large', 't', 'we', 'conclude', 'that', 'pure', 'states', 'can', 'evolve', 'into', 'mixed', 'states', 'in', 'pi', 'p', 'pipi', 'n', 'in', 'quantum', 'theory', 'such', 'nonunitary', 'evolution', 'occurs', 'in', 'open', 'quantum', 'systems', 'interacting', 'with', 'an', 'environment', 'we', 'present', 'evidence', 'to', 'validate', 'the', 'view', 'of', 'the', 'pion', 'creation', 'process', 'as', 'an', 'open', 'quantum', 'system', 'interacting', 'with', 'a', 'quantum', 'environment', 'the', 'observed', 'process', 'is', 'timeirreversible', 'and', 'violates', 'cpt', 'symmetry']] | [-0.12521222109868252, 0.2796447967011985, -0.1367232479738502, 0.0767951401071434, 0.02489216737067926, -0.14142250433313655, 0.03954690665330694, 0.3226860747808776, -0.21598375675796766, -0.2710898306454962, -0.0012346287400935565, -0.2973392957832381, -0.013855166343852268, 0.14246565865132174, 0.03697598720383313, 0.07475181966638791, 0.09253888547812637, 0.035324448369013155, -0.07665486061300167, -0.2082547123723647, 0.33842142961908417, 0.048142061542926565, 0.29650071568307823, 0.06194312105837621, 0.08456950263958969, 0.0610472344771594, 0.01530446709073775, -0.03957554604041211, -0.0991341268963879, 0.016169880726170448, 0.2669566248867617, 0.11978678459097183, 0.13703507062984488, -0.4100309489785056, -0.1540010792328513, 0.0873288117452628, 0.10197933483324205, 0.17208166681543233, -0.03243945374246142, -0.33746241494926094, 0.06094737431546401, -0.16750571118635044, -0.17532817375906118, -0.090175631684823, 0.038990658010105594, -0.08620666013213626, -0.2819310290526533, 0.09506624520957818, 0.03117314917961277, 0.03364429536291905, -0.06519241318956279, -0.1322634785186924, -0.0363371997420834, 0.06761597915231222, -0.01539421325913026, 0.03974460517410298, 0.17483998649979654, -0.12108094932250026, -0.16329151689352697, 0.33237870433095473, -0.06714049346434574, -0.193892320051615, 0.1513539486747148, -0.170338294475628, -0.1415141280155019, 0.12970726080347747, 0.19875864498181084, 0.09017316000917328, -0.15298336035468513, 0.10516481387683556, -0.0010065733623957774, 0.18088059346137123, 0.09100469476025966, 0.06973312728989281, 0.234886050665457, 0.1288744850487214, 0.024416087195277214, 0.1511878928800021, -0.06366270712484219, -0.11831195985051471, -0.370814425205643, -0.14533676515585334, -0.17749846816928894, 0.14736220438490494, -0.03542759627019047, -0.09220745706146485, 0.3437318800055362, 0.08682601531425951, 0.18567283192311812, -0.018329367723059976, 0.24462833467936307, 0.11503259929602323, 0.01103416017436406, 0.05494200198622475, 0.23469529106494105, 0.17217331326141821, 0.09606815668705262, -0.2932932713934988, 0.04489060878557594, -0.0038777655970893407] |
708.4003 | Mixed Higgsino Dark Matter from a Large SU(2) Gaugino Mass | We observe that in SUSY models with non-universal GUT scale gaugino mass
parameters, raising the GUT scale SU(2) gaugino mass |M_2| from its unified
value results in a smaller value of -m_{H_u}^2 at the weak scale. By the
electroweak symmetry breaking conditions, this implies a reduced value of \mu^2
{\it vis \`a vis} models with gaugino mass unification. The lightest neutralino
can then be mixed Higgsino dark matter with a relic density in agreement with
the measured abundance of cold dark matter (DM). We explore the phenomenology
of this high |M_2| DM model. The spectrum is characterized by a very large wino
mass and a concomitantly large splitting between left- and right- sfermion
masses. In addition, the lighter chargino and three light neutralinos are
relatively light with substantial higgsino components. The higgsino content of
the LSP implies large rates for direct detection of neutralino dark matter, and
enhanced rates for its indirect detection relative to mSUGRA. We find that
experiments at the LHC should be able to discover SUSY over the portion of
parameter space where m_{\tg} \alt 2350-2750 ~GeV, depending on the squark
mass, while a 1 TeV electron-positron collider has a reach comparable to that
of the LHC. The dilepton mass spectrum in multi-jet + \ell^+\ell^- + \eslt
events at the LHC will likely show more than one mass edge, while its shape
should provide indirect evidence for the large higgsino content of the decaying
neutralinos.
| hep-ph | we observe that in susy models with nonuniversal gut scale gaugino mass parameters raising the gut scale su2 gaugino mass m_2 from its unified value results in a smaller value of m_h_u2 at the weak scale by the electroweak symmetry breaking conditions this implies a reduced value of mu2 it vis a vis models with gaugino mass unification the lightest neutralino can then be mixed higgsino dark matter with a relic density in agreement with the measured abundance of cold dark matter dm we explore the phenomenology of this high m_2 dm model the spectrum is characterized by a very large wino mass and a concomitantly large splitting between left and right sfermion masses in addition the lighter chargino and three light neutralinos are relatively light with substantial higgsino components the higgsino content of the lsp implies large rates for direct detection of neutralino dark matter and enhanced rates for its indirect detection relative to msugra we find that experiments at the lhc should be able to discover susy over the portion of parameter space where m_tg alt 23502750 gev depending on the squark mass while a 1 tev electronpositron collider has a reach comparable to that of the lhc the dilepton mass spectrum in multijet ellell eslt events at the lhc will likely show more than one mass edge while its shape should provide indirect evidence for the large higgsino content of the decaying neutralinos | [['we', 'observe', 'that', 'in', 'susy', 'models', 'with', 'nonuniversal', 'gut', 'scale', 'gaugino', 'mass', 'parameters', 'raising', 'the', 'gut', 'scale', 'su2', 'gaugino', 'mass', 'm_2', 'from', 'its', 'unified', 'value', 'results', 'in', 'a', 'smaller', 'value', 'of', 'm_h_u2', 'at', 'the', 'weak', 'scale', 'by', 'the', 'electroweak', 'symmetry', 'breaking', 'conditions', 'this', 'implies', 'a', 'reduced', 'value', 'of', 'mu2', 'it', 'vis', 'a', 'vis', 'models', 'with', 'gaugino', 'mass', 'unification', 'the', 'lightest', 'neutralino', 'can', 'then', 'be', 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'parameter', 'space', 'where', 'm_tg', 'alt', '23502750', 'gev', 'depending', 'on', 'the', 'squark', 'mass', 'while', 'a', '1', 'tev', 'electronpositron', 'collider', 'has', 'a', 'reach', 'comparable', 'to', 'that', 'of', 'the', 'lhc', 'the', 'dilepton', 'mass', 'spectrum', 'in', 'multijet', 'ellell', 'eslt', 'events', 'at', 'the', 'lhc', 'will', 'likely', 'show', 'more', 'than', 'one', 'mass', 'edge', 'while', 'its', 'shape', 'should', 'provide', 'indirect', 'evidence', 'for', 'the', 'large', 'higgsino', 'content', 'of', 'the', 'decaying', 'neutralinos']] | [-0.0905636574331785, 0.302368628380305, -0.05206321831792593, 0.2047702356415028, -0.08469129941039817, -0.17067824348985675, 0.015031021314257003, 0.3262797919528044, -0.19949395127118902, -0.36405742523518014, 0.046551016960392134, -0.2599561696356915, 0.07290043318049705, 0.1480918133076518, 0.024873018743311787, 0.04768945101841769, 0.06717068502986606, -0.007137373980367556, -0.08402060133880598, -0.2405283983957835, 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708.4004 | Energy of bond defects in quantum spin chains obtained from local
approximations and from exact diagonalization | We study the influence of ferromagnetic and antiferromagnetic bond defects on
the ground-state energy of antiferromagnetic spin chains. In the absence of
translational invariance, the energy spectrum of the full Hamiltonian is
obtained numerically, by an iterative modification of the power algorithm. In
parallel, approximate analytical energies are obtained from a local-bond
approximation, proposed here. This approximation results in significant
improvement upon the mean-field approximation, at negligible extra
computational effort.
| cond-mat.mtrl-sci cond-mat.stat-mech cond-mat.str-el | we study the influence of ferromagnetic and antiferromagnetic bond defects on the groundstate energy of antiferromagnetic spin chains in the absence of translational invariance the energy spectrum of the full hamiltonian is obtained numerically by an iterative modification of the power algorithm in parallel approximate analytical energies are obtained from a localbond approximation proposed here this approximation results in significant improvement upon the meanfield approximation at negligible extra computational effort | [['we', 'study', 'the', 'influence', 'of', 'ferromagnetic', 'and', 'antiferromagnetic', 'bond', 'defects', 'on', 'the', 'groundstate', 'energy', 'of', 'antiferromagnetic', 'spin', 'chains', 'in', 'the', 'absence', 'of', 'translational', 'invariance', 'the', 'energy', 'spectrum', 'of', 'the', 'full', 'hamiltonian', 'is', 'obtained', 'numerically', 'by', 'an', 'iterative', 'modification', 'of', 'the', 'power', 'algorithm', 'in', 'parallel', 'approximate', 'analytical', 'energies', 'are', 'obtained', 'from', 'a', 'localbond', 'approximation', 'proposed', 'here', 'this', 'approximation', 'results', 'in', 'significant', 'improvement', 'upon', 'the', 'meanfield', 'approximation', 'at', 'negligible', 'extra', 'computational', 'effort']] | [-0.1560528374452522, 0.107114171435714, -0.05572173180922434, 0.07508306004160988, 0.0019382681643617325, -0.08987164761250217, 0.09189738353471393, 0.3995375067697487, -0.23219044014568563, -0.3214351233310889, 0.011740600152035662, -0.28354283238666644, -0.09363486207481744, 0.11627342093034067, 0.08407355833501703, 0.06053821543785001, 0.04873154086627714, 0.015775052358166897, -0.1369683387135898, -0.21204907578024743, 0.23030888187982465, 0.11912181077228076, 0.3096400893671249, 0.09959677514026238, 0.07273761740467255, 0.029528220427101074, 0.060210306075928005, 0.003935104748909024, -0.17209217774317317, 0.1092436039428888, 0.21571393902211086, -0.04073834611588846, 0.22527132805544828, -0.46824649130196677, -0.18787633105302634, 0.0519427310310952, 0.15353316973651882, 0.1998527886858885, -0.037707365155085056, -0.26386111191865325, 0.04190228347484346, -0.18996187335933032, -0.16053845902965608, -0.11963791937391827, -0.06436060066672339, 0.007822800086865174, -0.23616973629923185, 0.1295736938971432, 0.10942270209931809, 0.09444343587518603, -0.10155890456846227, -0.12747320537522866, -0.030174400427959103, 0.03909458833463166, 0.07813907022911894, 0.04084886682381773, 0.09148592264998866, -0.10326472187644221, -0.1386396160679937, 0.34992991576808086, -0.0676626184773024, -0.18092979795798875, 0.11362372767315179, -0.10012188395215334, -0.14631626289337873, 0.2353947786141889, 0.15485312248431687, 0.06197170211353164, -0.12157811938474576, 0.16387750224490394, 0.015535389707572218, 0.149908690618864, 0.03727372914579683, 0.02314602304250002, 0.11737836910870628, 0.16591823985125276, 0.07747432306084943, 0.16502040959692196, -0.06724172414523429, -0.17696946192586768, -0.26452571335856034, -0.1171848384015586, -0.27299047320865205, 0.04961347259392125, -0.14377036649523728, -0.13465543646041467, 0.4138550830168137, 0.14541385141943675, 0.09620357450583707, 0.026203506396732468, 0.3277433253824711, 0.13965074524985274, 0.015698088805420674, 0.05976101579142488, 0.2848113393276066, 0.13263539723255605, 0.08400899972901613, -0.3391294507883435, 0.04086895294460482, 0.07491958081938219] |
708.4005 | Metastable Kinks in the Orbifold | We consider static configurations of bulk scalar fields in extra dimensional
models in which the fifth dimension is an $S^1/Z_2$ orbifold. There may exist a
finite number of such configurations, with total number depending on the size
of the orbifold interval. We perform a detailed Sturm-Liouville stability
analysis that demonstrates that all but the lowest-lying configurations - those
with no nodes in the interval - are unstable. We also present a powerful
general criterion with which to determine which of these nodeless solutions are
stable. The detailed analysis underlying the results presented in this letter,
and applications to specific models, are presented in a comprehensive companion
paper.
| hep-ph hep-th | we consider static configurations of bulk scalar fields in extra dimensional models in which the fifth dimension is an s1z_2 orbifold there may exist a finite number of such configurations with total number depending on the size of the orbifold interval we perform a detailed sturmliouville stability analysis that demonstrates that all but the lowestlying configurations those with no nodes in the interval are unstable we also present a powerful general criterion with which to determine which of these nodeless solutions are stable the detailed analysis underlying the results presented in this letter and applications to specific models are presented in a comprehensive companion paper | [['we', 'consider', 'static', 'configurations', 'of', 'bulk', 'scalar', 'fields', 'in', 'extra', 'dimensional', 'models', 'in', 'which', 'the', 'fifth', 'dimension', 'is', 'an', 's1z_2', 'orbifold', 'there', 'may', 'exist', 'a', 'finite', 'number', 'of', 'such', 'configurations', 'with', 'total', 'number', 'depending', 'on', 'the', 'size', 'of', 'the', 'orbifold', 'interval', 'we', 'perform', 'a', 'detailed', 'sturmliouville', 'stability', 'analysis', 'that', 'demonstrates', 'that', 'all', 'but', 'the', 'lowestlying', 'configurations', 'those', 'with', 'no', 'nodes', 'in', 'the', 'interval', 'are', 'unstable', 'we', 'also', 'present', 'a', 'powerful', 'general', 'criterion', 'with', 'which', 'to', 'determine', 'which', 'of', 'these', 'nodeless', 'solutions', 'are', 'stable', 'the', 'detailed', 'analysis', 'underlying', 'the', 'results', 'presented', 'in', 'this', 'letter', 'and', 'applications', 'to', 'specific', 'models', 'are', 'presented', 'in', 'a', 'comprehensive', 'companion', 'paper']] | [-0.18463358193236803, 0.09712823947927626, -0.05928272700957244, 0.06813609162789015, -0.07653828916982526, -0.1326639803303849, 0.02493647529322299, 0.36175179394582907, -0.1783036052559813, -0.2865667528871979, 0.11822746797309568, -0.255801743428622, -0.14164271804592793, 0.1683192979278309, -0.026671462395184097, 0.0299225820838252, 0.06221802157482931, 0.07112833336882649, -0.07637647900375583, -0.258124681657535, 0.36452761592476496, 0.019457201462327725, 0.24327099435918387, 0.046475750733433026, 0.03363009590116452, -0.022362264041744528, -0.015541218784416005, 0.046286673675335586, -0.1856688485077549, 0.10259526164847471, 0.24274476202339257, 0.08111910271192235, 0.20600485216737502, -0.407189502868624, -0.2289197549623038, 0.1418315172151086, 0.14079891951488596, 0.1297723484968412, -0.05507689017076267, -0.2153815643174485, 0.13835139718305853, -0.14629646887381872, -0.15088899611894574, -0.09609980164982733, 0.01853837711026981, 0.00943235826479005, -0.26399431374988386, 0.05297327350043426, 0.04098978451164883, 0.07737073294729704, -0.08640192272585062, -0.11041118408930266, -0.04623081911621349, 0.08166286568711734, 0.07222382547888195, -0.01759772288524324, 0.05975996856355951, -0.0944179549445315, -0.12078760008748976, 0.36182073716162927, -0.03359792623668909, -0.24465213714256173, 0.22500529225383487, -0.12961228078985143, -0.1859955267492859, 0.11169334637622039, 0.17229276354025516, 0.17001940902499926, -0.11147940644018707, 0.1004442340733173, -0.07445783596485853, 0.19129670236614488, 0.04869014909490943, 0.04211420880885618, 0.2163324725015887, 0.16806024905360703, 0.06587095032224342, 0.1392530970341925, -0.05007266650818998, -0.11809798766903225, -0.3769678733001153, -0.1215813162248759, -0.12670344227725375, 0.06338523261337763, -0.09638296504978955, -0.20844787824011984, 0.41947673886482206, 0.13362469172085792, 0.21024150765900101, 0.0028295841899567417, 0.2676084927327576, 0.1013339134287976, 0.03787714589520225, 0.08642522980503384, 0.23564037006525768, 0.0838122957873912, 0.06295005740775239, -0.1769752258163256, -0.04666292852544714, 0.06394997196316364] |
708.4006 | The Drinfel'd Double and Twisting in Stringy Orbifold Theory | This paper exposes the fundamental role that the Drinfel'd double $\dkg$ of
the group ring of a finite group $G$ and its twists $\dbkg$, $\beta \in
Z^3(G,\uk)$ as defined by Dijkgraaf--Pasquier--Roche play in stringy orbifold
theories and their twistings.
The results pertain to three different aspects of the theory. First, we show
that $G$--Frobenius algebras arising in global orbifold cohomology or K-theory
are most naturally defined as elements in the braided category of
$\dkg$--modules. Secondly, we obtain a geometric realization of the Drinfel'd
double as the global orbifold $K$--theory of global quotient given by the
inertia variety of a point with a $G$ action on the one hand and more
stunningly a geometric realization of its representation ring in the braided
category sense as the full $K$--theory of the stack $[pt/G]$. Finally, we show
how one can use the co-cycles $\beta$ above to twist a) the global orbifold
$K$--theory of the inertia of a global quotient and more importantly b) the
stacky $K$--theory of a global quotient $[X/G]$. This corresponds to twistings
with a special type of 2--gerbe.
| math.AG math.KT math.QA | this paper exposes the fundamental role that the drinfeld double dkg of the group ring of a finite group g and its twists dbkg beta in z3guk as defined by dijkgraafpasquierroche play in stringy orbifold theories and their twistings the results pertain to three different aspects of the theory first we show that gfrobenius algebras arising in global orbifold cohomology or ktheory are most naturally defined as elements in the braided category of dkgmodules secondly we obtain a geometric realization of the drinfeld double as the global orbifold ktheory of global quotient given by the inertia variety of a point with a g action on the one hand and more stunningly a geometric realization of its representation ring in the braided category sense as the full ktheory of the stack ptg finally we show how one can use the cocycles beta above to twist a the global orbifold ktheory of the inertia of a global quotient and more importantly b the stacky ktheory of a global quotient xg this corresponds to twistings with a special type of 2gerbe | [['this', 'paper', 'exposes', 'the', 'fundamental', 'role', 'that', 'the', 'drinfeld', 'double', 'dkg', 'of', 'the', 'group', 'ring', 'of', 'a', 'finite', 'group', 'g', 'and', 'its', 'twists', 'dbkg', 'beta', 'in', 'z3guk', 'as', 'defined', 'by', 'dijkgraafpasquierroche', 'play', 'in', 'stringy', 'orbifold', 'theories', 'and', 'their', 'twistings', 'the', 'results', 'pertain', 'to', 'three', 'different', 'aspects', 'of', 'the', 'theory', 'first', 'we', 'show', 'that', 'gfrobenius', 'algebras', 'arising', 'in', 'global', 'orbifold', 'cohomology', 'or', 'ktheory', 'are', 'most', 'naturally', 'defined', 'as', 'elements', 'in', 'the', 'braided', 'category', 'of', 'dkgmodules', 'secondly', 'we', 'obtain', 'a', 'geometric', 'realization', 'of', 'the', 'drinfeld', 'double', 'as', 'the', 'global', 'orbifold', 'ktheory', 'of', 'global', 'quotient', 'given', 'by', 'the', 'inertia', 'variety', 'of', 'a', 'point', 'with', 'a', 'g', 'action', 'on', 'the', 'one', 'hand', 'and', 'more', 'stunningly', 'a', 'geometric', 'realization', 'of', 'its', 'representation', 'ring', 'in', 'the', 'braided', 'category', 'sense', 'as', 'the', 'full', 'ktheory', 'of', 'the', 'stack', 'ptg', 'finally', 'we', 'show', 'how', 'one', 'can', 'use', 'the', 'cocycles', 'beta', 'above', 'to', 'twist', 'a', 'the', 'global', 'orbifold', 'ktheory', 'of', 'the', 'inertia', 'of', 'a', 'global', 'quotient', 'and', 'more', 'importantly', 'b', 'the', 'stacky', 'ktheory', 'of', 'a', 'global', 'quotient', 'xg', 'this', 'corresponds', 'to', 'twistings', 'with', 'a', 'special', 'type', 'of', '2gerbe']] | [-0.18293956729406813, 0.0427881284060235, -0.10745381477995422, 0.08009768739187469, -0.08269860624367821, -0.12753968135903365, -0.009080228510837274, 0.31071730568903316, -0.37024080849737034, -0.22216232306184783, 0.11694633763286168, -0.1908351799192833, -0.18160031403243626, 0.18760458361384214, -0.17255770857939323, -0.05459431771606464, 0.019709512842926144, 0.13403811555184508, -0.12469062736878793, -0.2382011135569078, 0.44164252459157216, 0.013943675350151613, 0.2305986561582306, 0.023614317428952234, 0.07821983656171581, 0.0020980632505326093, -0.009218055428401834, -0.0019948875328161934, -0.11452356943415395, 0.13960563920668445, 0.2830704611287206, 0.026854161874273384, 0.17179891729116709, -0.3950120473665924, -0.12198684696006407, 0.15065755036755882, 0.11345702886378028, 0.03034196024889062, -0.030488498106327217, -0.27692142480063714, 0.10288346780667446, -0.2403519885271959, -0.14359178161516187, -0.07251978938430334, 0.06093595059181767, -0.005087288025627448, -0.20277247239096924, -0.02519419114774457, 0.07730708241826673, 0.1192803704286872, -0.07188957133169832, -0.06677240460185098, -0.12730513499439533, 0.13684331629580507, 0.013836797779083422, 0.04174602440098065, 0.15001292165700647, -0.15957263043289469, -0.16428833113295485, 0.40859702067856474, -0.05948166208958585, -0.17911514907074427, 0.10376171946482754, -0.17398090857541423, -0.1947566672956207, 0.10354411330986661, 0.04536931265691488, 0.16330256012279068, 0.011082488619294232, 0.18218072489755036, -0.13367347905864596, 0.04322960560866391, 0.05015113167518257, 0.018905892561393224, 0.17982078399830337, 0.1138872719348419, 0.06880489655070532, 0.12346766090646771, -0.022436995437267054, -0.051421099005202794, -0.3889905842684809, -0.19177833601468425, -0.06495614399352036, 0.16556336044687806, -0.11646310844286024, -0.1817658531650815, 0.44235267984712945, 0.09463035866307716, 0.2055236760195045, 0.07865785419587688, 0.22657827809774156, 0.05275340183723675, 0.07412620186812416, 0.004136892762530231, 0.14455743463263024, 0.2264569149962787, -0.005953996072940785, -0.16346466374829755, -0.06361746495247059, 0.23718878161697382] |
708.4007 | A critical constant for the k nearest neighbour model | Let P be a Poisson process of intensity one in a square S_n of area n. For a
fixed integer k, join every point of P to its k nearest neighbours, creating an
undirected random geometric graph G_{n,k}. We prove that there exists a
critical constant c such that for c'<c, G_{n,c'log n} is disconnected with
probability tending to 1 as n tends to infinity, and for c'>c G_{n,c'\log n} is
connected with probability tending to 1 as n tends to infinity. This answers a
question previously posed by the authors.
| math.PR math.CO | let p be a poisson process of intensity one in a square s_n of area n for a fixed integer k join every point of p to its k nearest neighbours creating an undirected random geometric graph g_nk we prove that there exists a critical constant c such that for cc g_nclog n is disconnected with probability tending to 1 as n tends to infinity and for cc g_nclog n is connected with probability tending to 1 as n tends to infinity this answers a question previously posed by the authors | [['let', 'p', 'be', 'a', 'poisson', 'process', 'of', 'intensity', 'one', 'in', 'a', 'square', 's_n', 'of', 'area', 'n', 'for', 'a', 'fixed', 'integer', 'k', 'join', 'every', 'point', 'of', 'p', 'to', 'its', 'k', 'nearest', 'neighbours', 'creating', 'an', 'undirected', 'random', 'geometric', 'graph', 'g_nk', 'we', 'prove', 'that', 'there', 'exists', 'a', 'critical', 'constant', 'c', 'such', 'that', 'for', 'cc', 'g_nclog', 'n', 'is', 'disconnected', 'with', 'probability', 'tending', 'to', '1', 'as', 'n', 'tends', 'to', 'infinity', 'and', 'for', 'cc', 'g_nclog', 'n', 'is', 'connected', 'with', 'probability', 'tending', 'to', '1', 'as', 'n', 'tends', 'to', 'infinity', 'this', 'answers', 'a', 'question', 'previously', 'posed', 'by', 'the', 'authors']] | [-0.1810973547399044, 0.16798862482808932, -0.03914262452738339, 0.0006185920244278033, -0.043842403053337434, -0.2619723395622346, 0.1252925099407354, 0.342114750630735, -0.29033189647820556, -0.2524910483226766, 0.04212184364284818, -0.35839473644501707, -0.09538522022880949, 0.07172152630231354, -0.05155701481663946, 0.01404450440274426, -0.011141094402671697, 0.16422897185920998, 0.01390056732879805, -0.30340209289020964, 0.2985070588674103, -0.0014528226410823592, 0.1543647807033921, 0.017845952709393806, 0.05142090641344071, 0.01508329628202855, 0.024913471309844865, 0.06222056778503603, -0.16090017100459283, 0.030753288416092525, 0.331314769829885, 0.13874477782977349, 0.32903169838481405, -0.3323351926509725, -0.15163901158388746, 0.2248520745341195, 0.20685228678199014, 0.013693133515588353, 0.032530333174476296, -0.21009937942739618, 0.18613930990438113, -0.09915482125171785, -0.2071141758148841, 0.02698689133446831, 0.18575177163544918, 0.009251399624967174, -0.32029893295316214, -0.04896331443503667, 0.12499680170747504, 0.030535708139702845, 0.038719546937990644, -0.18697395504274394, 0.0015666639076524905, 0.13098763240752428, 0.01628776238884599, 0.18004165072349854, 0.05358255225471797, -0.04706873534132172, -0.12385884407656582, 0.35154405115381554, -0.06459889003190766, -0.20101805824493424, 0.15271216344213887, -0.15152758928643686, -0.13740741669624165, 0.125428063847292, 0.12017227966289999, 0.12309702836353792, -0.012128211442757858, 0.1843206127575766, -0.08326822156191208, 0.13614507128512016, 0.1222542899273587, -0.07330107551821496, 0.12891713027538879, 0.09738825175785616, 0.17856311700777727, 0.1365846293766491, -0.03841152341429437, -0.00955971038450351, -0.3165123157747341, -0.17225165622246064, -0.258047003968713, 0.20301835622711714, -0.1696551310608433, -0.17482364247814658, 0.26190871852083825, 0.0730672486131655, 0.2916227211718568, 0.13313793865806853, 0.21715759886611838, 0.0926239100583107, -0.018114957630142484, 0.13326217273899008, 0.020178608418431845, 0.16858607508880452, -0.00179788050649876, -0.13188121853961368, 0.03818511190363782, 0.10101512398340562] |
708.4008 | Existence and Stability of Non-Trivial Scalar Field Configurations in
Orbifolded Extra Dimensions | We consider the existence and stability of static configurations of a scalar
field in a five dimensional spacetime in which the extra spatial dimension is
compactified on an $S^1/Z_2$ orbifold. For a wide class of potentials with
multiple minima there exist a finite number of such configurations, with total
number depending on the size of the orbifold interval. However, a
Sturm-Liouville stability analysis demonstrates that all such configurations
with nodes in the interval are unstable. Nodeless static solutions, of which
there may be more than one for a given potential, are far more interesting, and
we present and prove a powerful general criterion that allows a simple
determination of which of these nodeless solutions are stable. We demonstrate
our general results by specializing to a number of specific examples, one of
which may be analyzed entirely analytically.
| hep-ph hep-th | we consider the existence and stability of static configurations of a scalar field in a five dimensional spacetime in which the extra spatial dimension is compactified on an s1z_2 orbifold for a wide class of potentials with multiple minima there exist a finite number of such configurations with total number depending on the size of the orbifold interval however a sturmliouville stability analysis demonstrates that all such configurations with nodes in the interval are unstable nodeless static solutions of which there may be more than one for a given potential are far more interesting and we present and prove a powerful general criterion that allows a simple determination of which of these nodeless solutions are stable we demonstrate our general results by specializing to a number of specific examples one of which may be analyzed entirely analytically | [['we', 'consider', 'the', 'existence', 'and', 'stability', 'of', 'static', 'configurations', 'of', 'a', 'scalar', 'field', 'in', 'a', 'five', 'dimensional', 'spacetime', 'in', 'which', 'the', 'extra', 'spatial', 'dimension', 'is', 'compactified', 'on', 'an', 's1z_2', 'orbifold', 'for', 'a', 'wide', 'class', 'of', 'potentials', 'with', 'multiple', 'minima', 'there', 'exist', 'a', 'finite', 'number', 'of', 'such', 'configurations', 'with', 'total', 'number', 'depending', 'on', 'the', 'size', 'of', 'the', 'orbifold', 'interval', 'however', 'a', 'sturmliouville', 'stability', 'analysis', 'demonstrates', 'that', 'all', 'such', 'configurations', 'with', 'nodes', 'in', 'the', 'interval', 'are', 'unstable', 'nodeless', 'static', 'solutions', 'of', 'which', 'there', 'may', 'be', 'more', 'than', 'one', 'for', 'a', 'given', 'potential', 'are', 'far', 'more', 'interesting', 'and', 'we', 'present', 'and', 'prove', 'a', 'powerful', 'general', 'criterion', 'that', 'allows', 'a', 'simple', 'determination', 'of', 'which', 'of', 'these', 'nodeless', 'solutions', 'are', 'stable', 'we', 'demonstrate', 'our', 'general', 'results', 'by', 'specializing', 'to', 'a', 'number', 'of', 'specific', 'examples', 'one', 'of', 'which', 'may', 'be', 'analyzed', 'entirely', 'analytically']] | [-0.18509227943429926, 0.11267656861920416, -0.07050654895936757, 0.06933088834230944, -0.06542710098607914, -0.17371221180039928, 0.018687061501503753, 0.3380810176787123, -0.19107774534962907, -0.2804055667421135, 0.13731225126297178, -0.2448956614308591, -0.13789093950899303, 0.21134382189951673, -0.0263053669940925, 0.023569654565844957, 0.0361355444905858, 0.07430598128886118, -0.07586485339179092, -0.2508336271849345, 0.38164598053409615, -0.02941444922360952, 0.22751996395633603, 0.050656308034217376, 0.06618909094219026, -0.010156974549928722, 0.02752083304073036, 0.08786961539600888, -0.12890999727463096, 0.11281768628566043, 0.24478056864051598, 0.08604505871521159, 0.24722686894305976, -0.39746734533921213, -0.24035416742324503, 0.15028292833603102, 0.14761063057834106, 0.13439984679439643, -0.06574359970773999, -0.24441534100800588, 0.1277930605493785, -0.14028520790357007, -0.17066097658222718, -0.11266545858913965, 0.031240034169503862, 0.029790354258700334, -0.28365288733293975, 0.03642290987305506, 0.028510719887830698, 0.0669692202681934, -0.08895616474719446, -0.09533753742830978, -0.04305862498904721, 0.07735707718168595, 0.07230604927226655, -0.006933677459754268, 0.05391401491284262, -0.1092614666123838, -0.1059424855013847, 0.35761701035224935, -0.03660951462885735, -0.25983225670473203, 0.21000715676205653, -0.12240883985527512, -0.14012367741619475, 0.1308233093208613, 0.1381414723004738, 0.18457683385859658, -0.1014374641456852, 0.09405334963315391, -0.0730070756666743, 0.1690913447838304, 0.10016672129328125, 0.041408775548491435, 0.2289722185466357, 0.1644231496739072, 0.11213372403035199, 0.1415952154754722, -0.054799662461082865, -0.12507712685020408, -0.3529404863195976, -0.11854983357726222, -0.14090445021041634, 0.09025162646808682, -0.148091088351305, -0.21747289997709057, 0.43157139551710255, 0.11154346290202964, 0.21821528146328933, 0.029292595576168628, 0.227486411843748, 0.10307349545802975, 0.05703262181571909, 0.08550863161370376, 0.2249637237974327, 0.07166841357137436, 0.025764894202677874, -0.16046903550541572, -0.022280723617894807, 0.053496402735910276] |
708.4009 | Generation of spin currents and spin densities in systems with reduced
symmetry | We show that the spin-current response of a semiconductor crystal to an
external electric field is considerably more complex than previously assumed.
While in systems of high symmetry only the spin-Hall components are allowed, in
systems of lower symmetry other non-spin-Hall components may be present. We
argue that, when spin-orbit interactions are present only in the band
structure, the distinction between intrinsic and extrinsic contributions to the
spin current is not useful. We show that the generation of spin currents and
that of spin densities in an electric field are closely related, and that our
general theory provides a systematic way to distinguish between them in
experiment. We discuss also the meaning of vertex corrections in systems with
spin-orbit interactions.
| cond-mat.mes-hall | we show that the spincurrent response of a semiconductor crystal to an external electric field is considerably more complex than previously assumed while in systems of high symmetry only the spinhall components are allowed in systems of lower symmetry other nonspinhall components may be present we argue that when spinorbit interactions are present only in the band structure the distinction between intrinsic and extrinsic contributions to the spin current is not useful we show that the generation of spin currents and that of spin densities in an electric field are closely related and that our general theory provides a systematic way to distinguish between them in experiment we discuss also the meaning of vertex corrections in systems with spinorbit interactions | [['we', 'show', 'that', 'the', 'spincurrent', 'response', 'of', 'a', 'semiconductor', 'crystal', 'to', 'an', 'external', 'electric', 'field', 'is', 'considerably', 'more', 'complex', 'than', 'previously', 'assumed', 'while', 'in', 'systems', 'of', 'high', 'symmetry', 'only', 'the', 'spinhall', 'components', 'are', 'allowed', 'in', 'systems', 'of', 'lower', 'symmetry', 'other', 'nonspinhall', 'components', 'may', 'be', 'present', 'we', 'argue', 'that', 'when', 'spinorbit', 'interactions', 'are', 'present', 'only', 'in', 'the', 'band', 'structure', 'the', 'distinction', 'between', 'intrinsic', 'and', 'extrinsic', 'contributions', 'to', 'the', 'spin', 'current', 'is', 'not', 'useful', 'we', 'show', 'that', 'the', 'generation', 'of', 'spin', 'currents', 'and', 'that', 'of', 'spin', 'densities', 'in', 'an', 'electric', 'field', 'are', 'closely', 'related', 'and', 'that', 'our', 'general', 'theory', 'provides', 'a', 'systematic', 'way', 'to', 'distinguish', 'between', 'them', 'in', 'experiment', 'we', 'discuss', 'also', 'the', 'meaning', 'of', 'vertex', 'corrections', 'in', 'systems', 'with', 'spinorbit', 'interactions']] | [-0.1751294377790138, 0.17237014769006154, -0.05256291297095644, 0.06388565724394715, -0.0769522867689864, -0.1157977553554067, -0.001548195828120185, 0.4263107796207446, -0.2543280616856548, -0.3073472357002877, 0.019582404702228783, -0.2894030956457518, -0.16611380054529348, 0.2035327293643994, -0.003498899218227182, -0.05211532263460906, -0.017366686726317686, -0.0009524977155530653, -0.0815830559062795, -0.18835538170034333, 0.3323234511468904, 0.002300596533797118, 0.27509482946059033, 0.08697962134826083, 0.04067023333255984, -0.0034522850089902138, 0.047347813739026544, 0.03529552056575429, -0.06468082172753331, 0.11881167056555507, 0.23323690298036867, -0.001976857294461557, 0.17077951780676903, -0.46807806873146224, -0.18646865947751187, 0.05827639624085121, 0.11706967359142643, 0.17456854124819593, -0.05980054293663785, -0.24835992884966976, 0.06169070051435162, -0.17939418862659892, -0.10643611592436288, -0.11340918565685508, 0.04212231160251095, -0.010038868822020423, -0.25362062776909294, 0.07616529691482096, 0.09427698626439283, 0.03460034094907406, -0.05984119482401038, -0.11952968670090489, -0.05841211965033675, 0.11078456068385056, 0.06289361607862495, 0.03918200125917792, 0.12121238803809915, -0.17888362468376817, -0.1386180560754127, 0.3808426366915472, -0.06199330087820119, -0.2180558695896145, 0.20118343250575563, -0.21113759781695715, -0.11389942581084471, 0.09259703088583064, 0.14899859805112048, 0.09190220967303969, -0.1640352076067474, 0.05842948397239983, 0.01476685278618536, 0.1857808775918073, -0.03235369701204555, 0.07847844158395138, 0.2651676275775212, 0.12006903561653898, 0.09650171781240027, 0.11900803443590305, -0.06729391735157647, -0.06263258917836331, -0.28359860886170085, -0.15647298521010064, -0.17414386252708294, 0.050063093508003836, -0.03711489108237027, -0.12781744422938893, 0.394550583149236, 0.2186136541843117, 0.16905737633840376, -0.0008140719014399944, 0.27885147312483866, 0.1276638652129537, 0.10634803005001124, 0.046882612380285224, 0.3117463918042784, 0.1599127019935546, 0.05370319313604478, -0.2503874130633135, 0.05429139221087098, -0.03298246121902739] |
708.401 | On the fifth order KdV equation: local well-posedness and lack of
uniform continuity of the solution map | In this paper we prove that the fifth order equation arising from the KdV
hierarchy $ \partial_tu + \partial_x^5u + c_1\partial_x u\partial_x^2u +
c_2u\partial_x^3u = 0 $ is locally well-posed in $ H^s(\mathbb{R}) $ for $ s>
5/2. Also, we prove the solution map of the equation is not uniformly
continuous for $s>0$.
| math.AP | in this paper we prove that the fifth order equation arising from the kdv hierarchy partial_tu partial_x5u c_1partial_x upartial_x2u c_2upartial_x3u 0 is locally wellposed in hsmathbbr for s 52 also we prove the solution map of the equation is not uniformly continuous for s0 | [['in', 'this', 'paper', 'we', 'prove', 'that', 'the', 'fifth', 'order', 'equation', 'arising', 'from', 'the', 'kdv', 'hierarchy', 'partial_tu', 'partial_x5u', 'c_1partial_x', 'upartial_x2u', 'c_2upartial_x3u', '0', 'is', 'locally', 'wellposed', 'in', 'hsmathbbr', 'for', 's', '52', 'also', 'we', 'prove', 'the', 'solution', 'map', 'of', 'the', 'equation', 'is', 'not', 'uniformly', 'continuous', 'for', 's0']] | [-0.15869426964171707, 0.06369873604214774, -0.04879958390417259, 0.06806591045531649, -0.06013267123844565, -0.13214886433831075, -0.04831406712338964, 0.2715760891030474, -0.371873750919249, -0.1536698956496832, 0.16612056942043327, -0.3354920789417697, -0.1342268452593466, 0.1449388848481382, -0.03867388721101168, 0.03855357762062695, 0.04453145397653826, 0.040719271705644884, -0.06303062044061357, -0.2401640027216295, 0.38596442659817093, -0.14308145360612287, 0.18240415426425455, 0.02758068800335977, 0.13710197839863236, -0.05323018019496486, 0.036072380749917615, -0.065519530326128, -0.21494891043136993, 0.03466307344596561, 0.259913405176343, 0.061934597176931255, 0.2608117129628493, -0.34619202882778355, -0.14979299307778116, 0.1892074831284401, 0.17804013176753028, 0.11585672910711388, -0.02090570695198527, -0.2932607283043425, 0.16334675023014225, -0.12685115353726759, -0.20936988593965042, -0.04367452423746993, 0.08553473594621187, 0.05443312293600019, -0.3021047647883434, 0.170798910343764, 0.1202766592273625, -0.044577306386355944, -0.20669697833860792, -0.08151232505716928, -0.0593750457756403, 0.018432434943572776, 0.00908445218214538, 0.13950126177472313, -0.056754137752804815, -0.09024850405729944, -0.010853514734019593, 0.3870630044399238, -0.12463820104703034, -0.2753490983712964, 0.10203870066169013, -0.19659823774382834, -0.18563891951812478, 0.09792574283825915, 0.10743901124451219, 0.15142148187974605, -0.13278859642493288, 0.2278138914985991, -0.0857997519793216, 0.20557914133660676, 0.07358407735733724, -0.0495947173160569, 0.031265492528313545, 0.1026411677097402, 0.19111945593684185, 0.10338518445993342, -0.015379568607341952, -0.07006847876601102, -0.3588492922121432, -0.18778345456755743, -0.15749197554910874, 0.1442438262779544, -0.07446603808642888, -0.11483008573513205, 0.3157788086228254, 0.14120806707069278, 0.12845931810940184, 0.11160959226147431, 0.16511454303726192, 0.2035665413955363, -0.05160200500451937, 0.11919349470607392, 0.18348408268378458, 0.09183154384060423, 0.15836661436208865, -0.19533059832912575, -0.028705873333553716, 0.18305212945291183] |
708.4011 | Functionalized nanopore-embedded electrodes for rapid DNA sequencing | The determination of a patient's DNA sequence can, in principle, reveal an
increased risk to fall ill with particular diseases [1,2] and help to design
"personalized medicine" [3]. Moreover, statistical studies and comparison of
genomes [4] of a large number of individuals are crucial for the analysis of
mutations [5] and hereditary diseases, paving the way to preventive medicine
[6]. DNA sequencing is, however, currently still a vastly time-consuming and
very expensive task [4], consisting of pre-processing steps, the actual
sequencing using the Sanger method, and post-processing in the form of data
analysis [7]. Here we propose a new approach that relies on functionalized
nanopore-embedded electrodes to achieve an unambiguous distinction of the four
nucleic acid bases in the DNA sequencing process. This represents a significant
improvement over previously studied designs [8,9] which cannot reliably
distinguish all four bases of DNA. The transport properties of the setup
investigated by us, employing state-of-the-art density functional theory
together with the non-equilibrium Green's Function method, leads to current
responses that differ by at least one order of magnitude for different bases
and can thus provide a much more robust read-out of the base sequence. The
implementation of our proposed setup could thus lead to a viable protocol for
rapid DNA sequencing with significant consequences for the future of genome
related research in particular and health care in general.
| physics.bio-ph cond-mat.soft q-bio.BM | the determination of a patients dna sequence can in principle reveal an increased risk to fall ill with particular diseases 12 and help to design personalized medicine 3 moreover statistical studies and comparison of genomes 4 of a large number of individuals are crucial for the analysis of mutations 5 and hereditary diseases paving the way to preventive medicine 6 dna sequencing is however currently still a vastly timeconsuming and very expensive task 4 consisting of preprocessing steps the actual sequencing using the sanger method and postprocessing in the form of data analysis 7 here we propose a new approach that relies on functionalized nanoporeembedded electrodes to achieve an unambiguous distinction of the four nucleic acid bases in the dna sequencing process this represents a significant improvement over previously studied designs 89 which cannot reliably distinguish all four bases of dna the transport properties of the setup investigated by us employing stateoftheart density functional theory together with the nonequilibrium greens function method leads to current responses that differ by at least one order of magnitude for different bases and can thus provide a much more robust readout of the base sequence the implementation of our proposed setup could thus lead to a viable protocol for rapid dna sequencing with significant consequences for the future of genome related research in particular and health care in general | [['the', 'determination', 'of', 'a', 'patients', 'dna', 'sequence', 'can', 'in', 'principle', 'reveal', 'an', 'increased', 'risk', 'to', 'fall', 'ill', 'with', 'particular', 'diseases', '12', 'and', 'help', 'to', 'design', 'personalized', 'medicine', '3', 'moreover', 'statistical', 'studies', 'and', 'comparison', 'of', 'genomes', '4', 'of', 'a', 'large', 'number', 'of', 'individuals', 'are', 'crucial', 'for', 'the', 'analysis', 'of', 'mutations', '5', 'and', 'hereditary', 'diseases', 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708.4012 | Spin-charge separation in a strongly correlated spin-polarized chain | We combine the first-quantized path-integral formalism and bosonization to
develop a phenomenological theory for spin-charge coupled dynamics in
one-dimensional (1D) ferromagnetic systems with strong interparticle repulsion,
at low temperatures. We assume an effective spin-charge separation and retain
the standard Luttinger-liquid plasmon branch, which is explicitly coupled to a
ferromagnetic spin-wave texture with a quadratic dispersion. The dynamic spin
structure severely suppresses the plasmon peak in the single-particle
propagator, in both fermionic and bosonic systems. Our analysis provides an
effective theory for the new universality class of 1D ferromagnetic systems,
capturing both the trapped spin and propagating spin-wave regimes of the
long-time behavior.
| cond-mat.str-el cond-mat.mes-hall | we combine the firstquantized pathintegral formalism and bosonization to develop a phenomenological theory for spincharge coupled dynamics in onedimensional 1d ferromagnetic systems with strong interparticle repulsion at low temperatures we assume an effective spincharge separation and retain the standard luttingerliquid plasmon branch which is explicitly coupled to a ferromagnetic spinwave texture with a quadratic dispersion the dynamic spin structure severely suppresses the plasmon peak in the singleparticle propagator in both fermionic and bosonic systems our analysis provides an effective theory for the new universality class of 1d ferromagnetic systems capturing both the trapped spin and propagating spinwave regimes of the longtime behavior | [['we', 'combine', 'the', 'firstquantized', 'pathintegral', 'formalism', 'and', 'bosonization', 'to', 'develop', 'a', 'phenomenological', 'theory', 'for', 'spincharge', 'coupled', 'dynamics', 'in', 'onedimensional', '1d', 'ferromagnetic', 'systems', 'with', 'strong', 'interparticle', 'repulsion', 'at', 'low', 'temperatures', 'we', 'assume', 'an', 'effective', 'spincharge', 'separation', 'and', 'retain', 'the', 'standard', 'luttingerliquid', 'plasmon', 'branch', 'which', 'is', 'explicitly', 'coupled', 'to', 'a', 'ferromagnetic', 'spinwave', 'texture', 'with', 'a', 'quadratic', 'dispersion', 'the', 'dynamic', 'spin', 'structure', 'severely', 'suppresses', 'the', 'plasmon', 'peak', 'in', 'the', 'singleparticle', 'propagator', 'in', 'both', 'fermionic', 'and', 'bosonic', 'systems', 'our', 'analysis', 'provides', 'an', 'effective', 'theory', 'for', 'the', 'new', 'universality', 'class', 'of', '1d', 'ferromagnetic', 'systems', 'capturing', 'both', 'the', 'trapped', 'spin', 'and', 'propagating', 'spinwave', 'regimes', 'of', 'the', 'longtime', 'behavior']] | [-0.17011883052285104, 0.211114537566341, -0.08460171292558787, 0.07266819368997662, -0.058796864452625754, -0.1899548295164006, 0.0037646237281425033, 0.334728248216504, -0.2450546698807967, -0.2266893776809322, -0.06505552182709068, -0.302656448427953, -0.14704742842678017, 0.12928437146668634, 0.09995601687457084, 0.03739058712095607, -0.02357989283479458, -0.03812572967509885, -0.12046941506959424, -0.15582533941750287, 0.26693079875458, -0.008656362220005808, 0.31812799696847066, 0.09078905184515844, 0.08060404771080643, 0.09075659561066833, 0.13573422088452122, -0.010396260238599544, -0.14624514466256597, 0.06835167935031339, 0.24664601595962748, -0.10843294278225478, 0.18764897560308158, -0.46260593771277103, -0.2486198131536024, -0.010077590625002688, 0.22581117669595221, 0.2232047471653798, -0.014602433456400154, -0.308756022841907, -0.012323606317616342, -0.206510598040825, -0.17359037818752376, -0.13760799141235502, -0.029991858931002664, -0.0424509804864761, -0.25097048530576516, 0.14549575636663256, 0.09781443605235979, 0.08846016063847963, -0.051908849498289, -0.06177138448601552, -0.05305652143479343, 0.04007737926097915, 0.009040113949381253, -0.0021518086923249797, 0.12620520895763868, -0.15605265096596935, -0.09942599194290974, 0.3317256334840375, -0.1268811984462481, -0.19486555296416377, 0.2623239118678897, -0.1489530841034709, -0.06798443397251415, 0.14665194555167474, 0.12170672085245743, 0.0962286037210302, -0.1762446394999393, 0.12983303317171294, 0.00663029728000801, 0.17633415898964422, -0.009776798706939992, 0.10695713852513947, 0.2948174878393355, 0.21656420983844346, 0.0148685945690993, 0.13158764809315257, -0.10963654446452126, -0.15107863300534732, -0.25520971771694867, -0.113284120673758, -0.2063013937360808, -0.0011303895814004743, -0.10187705306680965, -0.21426463182832972, 0.41480451493122267, 0.1732371380443082, 0.13375065514507392, 0.06508945793201051, 0.24551653049888508, 0.1919220189493168, 0.04558297684507481, 0.045018804095247215, 0.24455439001687018, 0.2234939675636626, 0.10621339203470259, -0.3636279863022341, -0.08210824941303216, 0.06875248705767387] |
708.4013 | The Axis of Opportunity: The Large-Scale Correlation of Elliptical
Galaxies | This paper has been withdrawn by the author due to the discovery of a serious
bias resulting from the systematic dimming of galaxies with larger
ellipticities away from the North Galactic Pole. Thus the conclusion that there
is a special axis along which the elliptical galaxies tend to be aligned is
incorrect.
| astro-ph | this paper has been withdrawn by the author due to the discovery of a serious bias resulting from the systematic dimming of galaxies with larger ellipticities away from the north galactic pole thus the conclusion that there is a special axis along which the elliptical galaxies tend to be aligned is incorrect | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'the', 'discovery', 'of', 'a', 'serious', 'bias', 'resulting', 'from', 'the', 'systematic', 'dimming', 'of', 'galaxies', 'with', 'larger', 'ellipticities', 'away', 'from', 'the', 'north', 'galactic', 'pole', 'thus', 'the', 'conclusion', 'that', 'there', 'is', 'a', 'special', 'axis', 'along', 'which', 'the', 'elliptical', 'galaxies', 'tend', 'to', 'be', 'aligned', 'is', 'incorrect']] | [-0.06879831121030013, 0.054611810500948474, -0.10478193888691469, 0.05226750010311102, -0.18351098844924799, -0.05412468961171376, 0.019991257104825657, 0.3800006233012447, -0.20561992103019014, -0.31613974742448103, 0.08422926096962048, -0.3098405974675328, -0.08133071739799701, 0.14717883245947844, -0.12303330648977023, -0.06271237382092155, 0.058500365734709285, -0.07020988429968174, -0.05656185702761062, -0.2651239615560581, 0.3102754154421676, 0.12840575391713244, 0.22351162762452775, -0.006609602589518405, 0.04628693747620743, -0.07862726770914517, -0.050159478846650854, 0.023429122896721728, -0.10277491201304656, 0.05291299231780263, 0.24613480038421515, 0.040610500159136094, 0.32315240119798827, -0.3433258085905646, -0.14068354999359983, 0.10786889207800134, 0.21754618037420398, 0.1517510866777649, -0.10160830151289701, -0.3397994712353326, 0.1302663577684703, -0.16645690955920145, -0.20686269192419088, 0.11605133892645916, 0.05155604282537332, -0.032536365038070544, -0.1705018065762348, 0.14655338741767293, 0.10236053664882022, 0.10435757152019785, -0.02087986981943966, -0.1403945577868189, -0.06320030705179445, 0.10013870495514801, 0.17806377024568903, 0.1873955545732035, 0.13714504880436623, -0.08568678656145214, -0.020539258481361546, 0.4043280066398438, 0.030321963167247865, -0.10615159223715846, 0.13832567660854414, -0.1744297614932293, -0.1452332937445205, 0.1798598910793841, 0.18084407599571234, 0.053473833634947926, -0.169842445730375, 0.053127247374504805, -0.03411406997922593, 0.15909649195292822, 0.1037138349448259, -0.050421750343118146, 0.33646861807658124, 0.03385153334462442, 0.08092622086405754, 0.12271307897530138, -0.17321341982684457, -0.061836328773866765, -0.23597525311813045, -0.0696680044146398, -0.14905288414313242, 0.10188285094829133, -0.04019528106213189, -0.14391799980302705, 0.37374786992754355, 0.16145376257079008, 0.2387892455310346, 0.029818073651627995, 0.3376325383567466, 0.07558939973107325, 0.1882776693942455, 0.06700054062709498, 0.34436272411571384, 0.13411589654592368, 0.07104318820907232, -0.1539088010098427, 0.1484895453412229, -0.03887434282268469] |
708.4014 | Spectral energy distributions of submm/radio bright gamma-ray burst host
galaxies | We present optical to radio spectral energy distribution fitting of the host
galaxies of four long gamma-ray bursts: 980703, 000210, 000418 and 010222,
which were detected at submillimetre and/or radio wavelengths. We find that
only very young starburst galaxy models are consistent with the data having
both blue optical colors and a pronounced submm emission. For each host we are
able to construct a model consistent with the short- and long-wavelength parts
of the spectra. We find galaxy ages ranging from 0.09 to 2.0 Gyrs and star
formation rates ranging from 138 to 380 MSun/yr.
| astro-ph | we present optical to radio spectral energy distribution fitting of the host galaxies of four long gammaray bursts 980703 000210 000418 and 010222 which were detected at submillimetre andor radio wavelengths we find that only very young starburst galaxy models are consistent with the data having both blue optical colors and a pronounced submm emission for each host we are able to construct a model consistent with the short and longwavelength parts of the spectra we find galaxy ages ranging from 009 to 20 gyrs and star formation rates ranging from 138 to 380 msunyr | [['we', 'present', 'optical', 'to', 'radio', 'spectral', 'energy', 'distribution', 'fitting', 'of', 'the', 'host', 'galaxies', 'of', 'four', 'long', 'gammaray', 'bursts', '980703', '000210', '000418', 'and', '010222', 'which', 'were', 'detected', 'at', 'submillimetre', 'andor', 'radio', 'wavelengths', 'we', 'find', 'that', 'only', 'very', 'young', 'starburst', 'galaxy', 'models', 'are', 'consistent', 'with', 'the', 'data', 'having', 'both', 'blue', 'optical', 'colors', 'and', 'a', 'pronounced', 'submm', 'emission', 'for', 'each', 'host', 'we', 'are', 'able', 'to', 'construct', 'a', 'model', 'consistent', 'with', 'the', 'short', 'and', 'longwavelength', 'parts', 'of', 'the', 'spectra', 'we', 'find', 'galaxy', 'ages', 'ranging', 'from', '009', 'to', '20', 'gyrs', 'and', 'star', 'formation', 'rates', 'ranging', 'from', '138', 'to', '380', 'msunyr']] | [-0.020787274390657213, 0.11793142159350534, -0.05249600666277903, 0.10817933675060247, -0.09043232072144747, -0.11095723504710824, 0.036213549059577924, 0.5365909128449857, -0.12207666671081902, -0.36733647459682, 0.06659052943057836, -0.3276170543989444, 0.01160246934345428, 0.19896630165315768, -0.002148111375603587, -0.06560161690960856, 0.05059777257810446, -0.1339999515330419, -0.024709884681679468, -0.21756265742426856, 0.23854783789423156, 0.048757535058687976, 0.1636241676503832, -0.031084295817987717, 0.07381639576720153, -0.12273427799215263, -0.10097458855338157, -0.07683128057087356, -0.17137238194342724, 0.04187336953931508, 0.25172966544472575, 0.08519384989693285, 0.17698050951436559, -0.34697427669975983, -0.19995239293797218, 0.10313261101180886, 0.173543132970387, 0.04664632116761455, -0.05967660787753127, -0.24972426313956447, 0.09268307486212159, -0.20326653549923224, -0.13350594236931584, 0.10498592401161155, 0.06100798846083753, 0.06707003695811047, -0.21494800309115586, 0.1628054012705453, -0.07490602734701787, 0.10125339785194461, -0.16335724579774716, -0.09160625494451836, -0.069441465866669, 0.0870643118000094, 0.0006080289418373178, 0.08179630539280937, 0.14884975616091942, -0.11485370044457785, -0.03171990730953304, 0.4189086807396342, -0.06743300291016063, 0.1090101369636807, 0.2860144111129673, -0.21820757140286584, -0.18691286686411562, 0.1737806879855851, 0.15165981264695763, 0.09954106619462688, -0.17226730170164337, -0.07280224742506572, 0.019283188640714644, 0.2554923312421492, 0.052567169050428464, 0.12386441299663312, 0.3530757676691134, 0.0772682778993027, -0.027635419126996335, 0.09142641310872351, -0.2939301583113426, 0.0035299621522426605, -0.20436499650578357, 0.006329840831854876, -0.12389388812477997, 0.14522321512575875, -0.14822248309947292, -0.09852434908773036, 0.4004303582329699, 0.10132849272934998, 0.226700508491473, 0.1671069604951512, 0.26412734459649695, 0.06684125365411982, 0.14705589312089093, 0.1367366183450089, 0.2966752275279624, 0.14958527480361072, 0.06878385270272006, -0.1761502601067595, 0.0005995622003807667, -0.06322866646533316] |
708.4015 | Energetic Impact of Jet Inflated Cocoons in Relaxed Galaxy Clusters | Jets from active galactic nuclei (AGN) in the cores of galaxy clusters have
the potential to be a major contributor to the energy budget of the
intracluster medium (ICM). To study the dependence of the interaction between
the AGN jets and the ICM on the parameters of the jets themselves, we present a
parameter survey of two-dimensional (axisymmetric) ideal hydrodynamic models of
back-to-back jets injected into a cluster atmosphere (with varying Mach numbers
and kinetic luminosities). We follow the passive evolution of the resulting
structures for several times longer than the active lifetime of the jet. The
simulations fall into roughly two classes, cocoon-bounded and non-cocoon
bounded sources. We suggest a correspondence between these two classes and the
Faranoff-Riley types. We find that the cocoon-bounded sources inject
significantly more entropy into the core regions of the ICM atmosphere, even
though the efficiency with which energy is thermalized is independent of the
morphological class. In all cases, a large fraction (50--80%) of the energy
injected by the jet ends up as gravitational potential energy due to the
expansion of the atmosphere.
| astro-ph | jets from active galactic nuclei agn in the cores of galaxy clusters have the potential to be a major contributor to the energy budget of the intracluster medium icm to study the dependence of the interaction between the agn jets and the icm on the parameters of the jets themselves we present a parameter survey of twodimensional axisymmetric ideal hydrodynamic models of backtoback jets injected into a cluster atmosphere with varying mach numbers and kinetic luminosities we follow the passive evolution of the resulting structures for several times longer than the active lifetime of the jet the simulations fall into roughly two classes cocoonbounded and noncocoon bounded sources we suggest a correspondence between these two classes and the faranoffriley types we find that the cocoonbounded sources inject significantly more entropy into the core regions of the icm atmosphere even though the efficiency with which energy is thermalized is independent of the morphological class in all cases a large fraction 5080 of the energy injected by the jet ends up as gravitational potential energy due to the expansion of the atmosphere | [['jets', 'from', 'active', 'galactic', 'nuclei', 'agn', 'in', 'the', 'cores', 'of', 'galaxy', 'clusters', 'have', 'the', 'potential', 'to', 'be', 'a', 'major', 'contributor', 'to', 'the', 'energy', 'budget', 'of', 'the', 'intracluster', 'medium', 'icm', 'to', 'study', 'the', 'dependence', 'of', 'the', 'interaction', 'between', 'the', 'agn', 'jets', 'and', 'the', 'icm', 'on', 'the', 'parameters', 'of', 'the', 'jets', 'themselves', 'we', 'present', 'a', 'parameter', 'survey', 'of', 'twodimensional', 'axisymmetric', 'ideal', 'hydrodynamic', 'models', 'of', 'backtoback', 'jets', 'injected', 'into', 'a', 'cluster', 'atmosphere', 'with', 'varying', 'mach', 'numbers', 'and', 'kinetic', 'luminosities', 'we', 'follow', 'the', 'passive', 'evolution', 'of', 'the', 'resulting', 'structures', 'for', 'several', 'times', 'longer', 'than', 'the', 'active', 'lifetime', 'of', 'the', 'jet', 'the', 'simulations', 'fall', 'into', 'roughly', 'two', 'classes', 'cocoonbounded', 'and', 'noncocoon', 'bounded', 'sources', 'we', 'suggest', 'a', 'correspondence', 'between', 'these', 'two', 'classes', 'and', 'the', 'faranoffriley', 'types', 'we', 'find', 'that', 'the', 'cocoonbounded', 'sources', 'inject', 'significantly', 'more', 'entropy', 'into', 'the', 'core', 'regions', 'of', 'the', 'icm', 'atmosphere', 'even', 'though', 'the', 'efficiency', 'with', 'which', 'energy', 'is', 'thermalized', 'is', 'independent', 'of', 'the', 'morphological', 'class', 'in', 'all', 'cases', 'a', 'large', 'fraction', '5080', 'of', 'the', 'energy', 'injected', 'by', 'the', 'jet', 'ends', 'up', 'as', 'gravitational', 'potential', 'energy', 'due', 'to', 'the', 'expansion', 'of', 'the', 'atmosphere']] | [-0.09722411160460483, 0.17448776612714442, -0.06244754939953881, 0.1069958092425209, -0.04337899950041901, -0.017793075972638853, 0.027517000500004295, 0.3770278357339769, -0.22764565969489262, -0.3519630584527146, 0.02975001541463743, -0.2925271670524539, 0.03175270915116099, 0.19415407994529232, 0.05394223558621227, -0.03218340689636534, 0.0574800510446287, -0.061712911376327444, -0.022669775506735525, -0.22750511327070522, 0.34676673191676277, 0.09088226971322332, 0.20470585864016108, 0.016298467018218202, 0.09681271896327169, -0.08972066634768536, -0.051584238916720176, 0.03796708686959185, -0.11689851122574427, 0.06204817223591486, 0.19438133083161285, 0.08143146868178519, 0.25343525311373843, -0.4328588488808071, -0.2472815360048447, 0.10759661874437204, 0.16724291145642797, 0.04610059511734024, -0.05498506600774404, -0.21533958963118494, 0.07124503165852564, -0.22050867084180936, -0.12770119008266853, 0.05321713565552438, 0.013022637100551616, 0.07676707601190587, -0.20779494325820866, 0.12782157164871355, 0.06284597885943102, 0.006111807009967213, -0.09806851736026477, -0.08872890211006795, -0.07309095174687999, 0.11946157411346742, 0.08427902224039743, 0.023220868536472237, 0.2021458863786062, -0.18345749280045062, -0.04428781031641516, 0.4083197512822649, -0.009768974603916418, -0.08890813036652451, 0.24182323497635397, -0.18329770970740356, -0.11692816979220053, 0.16390197186278369, 0.22252936514136804, 0.08245974619057961, -0.12178285550114444, -0.013565667496136897, -0.03760707114468625, 0.17483340358276936, 0.00951345958111977, 0.04439777545559826, 0.2696155382330868, 0.11312837131845299, 0.0431298196629293, 0.17534078412030463, -0.15515626108257988, -0.07359986585056917, -0.29765199088830163, -0.13053033412804574, -0.10822812598714583, 0.07493832617712376, -0.12294324711381871, -0.13022037364465755, 0.4075406069010073, 0.08704093505168037, 0.21113421486039774, 0.02003741740653905, 0.31592456841396843, 0.06597282302721975, 0.08427917473124001, 0.17545333844133315, 0.3134858859702945, 0.16693693640329663, 0.08806222239284332, -0.23645321929176466, 0.031082122449085793, 0.03632265699136703] |
708.4016 | Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired
concepts | The spectroscopy of light and heavy mesons is reviewed with emphasis on
glueballs, hybrids, and tetraquarks.
| hep-ph | the spectroscopy of light and heavy mesons is reviewed with emphasis on glueballs hybrids and tetraquarks | [['the', 'spectroscopy', 'of', 'light', 'and', 'heavy', 'mesons', 'is', 'reviewed', 'with', 'emphasis', 'on', 'glueballs', 'hybrids', 'and', 'tetraquarks']] | [-0.033919582987437025, 0.3893849326414056, -0.14830222562886775, 0.19658002028154442, -0.0340218844357878, -0.25450206897221506, 0.09927179652731866, 0.41052885772660375, -0.026966110803186893, -0.15953028528019786, -0.014003228396177292, -0.45155719853937626, 0.017182795330882072, 0.05813634488731623, 0.049401552765630186, 0.17449700424913317, 0.13870240561664104, 0.04622406582348049, 0.020879481453448534, -0.18788017868064344, 0.3899554753443226, -0.09970706142485142, 0.16870083939284086, 0.27896966272965074, -0.08087287843227386, 0.04689470984158106, -0.04622832720633596, -0.14236847357824445, -0.006599116895813495, 0.1235191278392449, 0.15096502006053925, 0.027883906703209504, 0.05124850268475711, -0.3780476340325549, -0.1606186672579497, 0.04899588041007519, 0.17508231161627918, 0.0623216483509168, -0.14669818871334428, -0.3853091448545456, 0.10227034648414701, -0.07712937018368393, -0.16876612755004317, -0.15042046672897413, 0.006262200186029077, 0.02254293393343687, -0.23492917435942218, -0.010135169140994549, -0.19164592120796442, 0.141127833572682, -0.09083475527586415, -0.4144475596258417, -0.015132172033190727, -0.1095496992347762, 0.15112275506544393, 0.1234900344570633, 0.12383065558969975, -0.2121231515193358, -0.16290766769088805, 0.45690328150521964, -0.10910623258678243, -0.14996594842523336, 0.17412818130105734, -0.10493706079432741, -0.1387283960939385, -0.028323607752099633, 0.22561056725680828, 0.1759933123830706, -0.10798013833118603, 0.08729068659158656, 0.00413529621437192, 0.1409418173134327, 0.04754013515776023, 0.31247584195807576, 0.30634870985522866, 0.30981338932178915, -0.22811929701128975, 0.028388143982738256, -0.020949640820617788, -0.07300297264009714, -0.3328653587959707, -0.1691605112864636, -0.04613201413303614, 0.019348731431819033, 0.04574469052204222, -0.06759842473547906, 0.4172031139023602, -0.09715957491425797, 0.19874781544785947, -0.10306702251546085, 0.3065754397539422, -0.021818784531205893, 0.02192217210540548, 0.03640678102965467, 0.3582590688019991, 0.3487539527704939, 0.16256858516135253, -0.342615195811959, -0.0648422856174875, -0.0007527004927396774] |
708.4017 | Hot GRB-selected Submillimeter Galaxies | Using detailed spectral energy distribution fits we present evidence that
submillimeter- and radio-bright gamma-ray burst host galaxies are hotter
counterparts to submillimeter galaxies. This hypothesis makes them of special
interest since hotter submm galaxies are difficult to find and are believed to
contribute significantly to the star formation history of the Universe.
| astro-ph | using detailed spectral energy distribution fits we present evidence that submillimeter and radiobright gammaray burst host galaxies are hotter counterparts to submillimeter galaxies this hypothesis makes them of special interest since hotter submm galaxies are difficult to find and are believed to contribute significantly to the star formation history of the universe | [['using', 'detailed', 'spectral', 'energy', 'distribution', 'fits', 'we', 'present', 'evidence', 'that', 'submillimeter', 'and', 'radiobright', 'gammaray', 'burst', 'host', 'galaxies', 'are', 'hotter', 'counterparts', 'to', 'submillimeter', 'galaxies', 'this', 'hypothesis', 'makes', 'them', 'of', 'special', 'interest', 'since', 'hotter', 'submm', 'galaxies', 'are', 'difficult', 'to', 'find', 'and', 'are', 'believed', 'to', 'contribute', 'significantly', 'to', 'the', 'star', 'formation', 'history', 'of', 'the', 'universe']] | [-0.014969045699287493, 0.09049169061024888, -0.0830720713845669, 0.20428246050813378, -0.22185651889930552, -0.05995053971463886, 0.002345862256613775, 0.5223319685229888, -0.05514734080777718, -0.345174228772521, 0.010948787210509181, -0.3085789404352769, -0.02153973589436366, 0.2006187685407125, -0.0227079215244605, -0.06186526214990478, 0.06276877906818229, -0.17235133213062698, -0.009130643747854404, -0.3100303023193891, 0.27319294019029117, 0.15653274851278043, 0.19193295083151987, -0.05780287388747988, -0.0358366170235408, -0.16828499490377277, -0.14445894291230404, -0.10182352056010412, -0.17262594576977092, 0.018915591662964568, 0.290628624735221, 0.1639984256337182, 0.19071284821256995, -0.39163613219100696, -0.21850212602517927, 0.12297446419520733, 0.23660234511883643, 0.025792685480645068, -0.0587949217744888, -0.2467099163824549, 0.07373121625949772, -0.157113864319399, -0.17502468539616808, 0.047233367598472305, 0.0359203058312862, 0.021680783569956057, -0.17471865335336098, 0.16771812813105777, -0.012968921532424597, 0.017713941382960632, -0.1301471612487848, -0.06224863788184638, -0.06308666198478582, 0.053472247977669425, 0.051433620701293245, 0.07257034853011227, 0.2114508075442595, -0.15129344768446082, -0.010417717665684624, 0.44282861068271673, -0.01765368995256722, 0.06361609762265849, 0.2998711749409827, -0.2438847630356367, -0.24855043320880774, 0.17435678588718964, 0.10518843548085827, 0.11351073319271493, -0.18282820825250104, -0.07001435687058032, 0.023328464164828453, 0.21786607046110126, 0.010973657132126391, 0.14273021732851005, 0.4102668724954128, 0.0695714148459956, 0.02554366748350171, 0.14903061892479086, -0.20020296594380993, -0.05006761812210943, -0.19610387079704267, -0.08169578266544984, -0.14623041191281608, 0.1536421085922764, -0.07741263458592584, -0.10173131085824795, 0.33543228750708154, 0.12619945482135966, 0.18134466360788792, 0.11760672513180627, 0.3040797778476889, 0.043703946499870375, 0.12329681866909735, 0.15269355153521666, 0.32121337473822326, 0.16481139874443984, 0.08270978581052847, -0.20224844051811558, 0.08532843883865728, -0.04173073331968716] |
708.4018 | Concealed Quantum Information | We study the teleportation scheme performed by means of a partially entangled
pure state. We found that the information belonging to the quantum channel can
be distributed into both the system of the transmitter and the system of the
receiver. Thus, in order to complete the teleportation process it is required
to perform an "unambiguous non-orthogonal quantum states discrimination" and an
"extraction of the quantum information" processes. This general scheme allows
one to design a strategy for concealing the unknown information of the
teleported state. Besides, we showed that the teleportation and the "concealing
the quantum information" process, can be probabilistically performed even
though the bipartite quantum channel is maximally entangled.
| quant-ph | we study the teleportation scheme performed by means of a partially entangled pure state we found that the information belonging to the quantum channel can be distributed into both the system of the transmitter and the system of the receiver thus in order to complete the teleportation process it is required to perform an unambiguous nonorthogonal quantum states discrimination and an extraction of the quantum information processes this general scheme allows one to design a strategy for concealing the unknown information of the teleported state besides we showed that the teleportation and the concealing the quantum information process can be probabilistically performed even though the bipartite quantum channel is maximally entangled | [['we', 'study', 'the', 'teleportation', 'scheme', 'performed', 'by', 'means', 'of', 'a', 'partially', 'entangled', 'pure', 'state', 'we', 'found', 'that', 'the', 'information', 'belonging', 'to', 'the', 'quantum', 'channel', 'can', 'be', 'distributed', 'into', 'both', 'the', 'system', 'of', 'the', 'transmitter', 'and', 'the', 'system', 'of', 'the', 'receiver', 'thus', 'in', 'order', 'to', 'complete', 'the', 'teleportation', 'process', 'it', 'is', 'required', 'to', 'perform', 'an', 'unambiguous', 'nonorthogonal', 'quantum', 'states', 'discrimination', 'and', 'an', 'extraction', 'of', 'the', 'quantum', 'information', 'processes', 'this', 'general', 'scheme', 'allows', 'one', 'to', 'design', 'a', 'strategy', 'for', 'concealing', 'the', 'unknown', 'information', 'of', 'the', 'teleported', 'state', 'besides', 'we', 'showed', 'that', 'the', 'teleportation', 'and', 'the', 'concealing', 'the', 'quantum', 'information', 'process', 'can', 'be', 'probabilistically', 'performed', 'even', 'though', 'the', 'bipartite', 'quantum', 'channel', 'is', 'maximally', 'entangled']] | [-0.1504911325847298, 0.15855920571977533, -0.1316889670702654, 0.029973532289413678, -3.477718748219378e-05, -0.23449458874057275, 0.10026127981600931, 0.37519770699578364, -0.29226259947628586, -0.2687574671329679, 0.09118007340988664, -0.23799260693346885, -0.09489141022870401, 0.15325988480938715, -0.0457347940636782, 0.13090749932998405, 0.08218189776111562, 0.0798803945323704, -0.02461094896283907, -0.26308388226069845, 0.3209834395800843, 0.0840314379840804, 0.3244443338465046, 0.026501018742753846, 0.12422368079340002, 0.050120442413498424, 0.01224560824197692, -0.05758586255749604, -0.08030025971078561, 0.09426753802973828, 0.2998795669299324, 0.19381771093393835, 0.23248591380579783, -0.4097289092301785, -0.21258396992610917, 0.10824496752943273, 0.11355835624009807, 0.2112799762236374, -0.011037129626676507, -0.3408780168272085, 0.04745535868396227, -0.198909482455116, -0.05106025001638242, -0.08415472468881456, -0.07361478708801908, -0.10330186166112555, -0.29937771682602327, 0.06060153288296885, 0.0859781124163419, -0.028831396407137316, 0.003660287640397311, -0.01717576630065335, 0.0019457971190547083, 0.20192788928109515, -0.10496833971712051, 0.0029044051671417445, 0.11469454019171027, -0.14834934602877511, -0.19644302216585022, 0.3446934635075531, -0.002282283827872225, -0.24688675180748776, 0.13685334439028626, -0.09495680441509362, -0.06739524800355572, 0.10478829260210733, 0.13877065823757434, 0.11838294983514257, -0.17206889839826134, 0.003373768120303515, -0.014481514532890942, 0.24016433016204083, -0.0051367989099408325, 0.1494622476181846, 0.17360080723642363, 0.09454598975040622, 0.09006718151703444, 0.20314286450377186, -0.07776798779430154, -0.1555464120669844, -0.29137595272245437, -0.23439886706235172, -0.24597234076501484, 0.07631885290129094, -0.038148271862384946, -0.09203235292387707, 0.38988345675399844, 0.12985474141818043, 0.12357858362448243, -0.02816008753353008, 0.3220388650357186, 0.09642262418695667, 0.008585416195863808, 0.10819358057300518, 0.2454302913786189, 0.14848316121250726, 0.06807612820721425, -0.23988768672738392, 0.09607758172494066, -0.03368286122484049] |
708.4019 | Comparing $GL_n$-Representations by Characteristic-Free Isomorphisms
between Generalized Schur Algebras | Isomorphisms are constructed between generalized Schur algebras in different
degrees. The construction covers both the classical case (of general linear
groups over infinite fields of arbitrary characteristic) and the quantized case
(in type $A$, for any non-zero value of the quantum parameter $q$). The
construction does not depend on the characteristic of the underlying field or
the choice of $q \neq 0$. The proof combines a combinatorial construction with
comodule structures and Ringel duality. Applications range from equivalences of
categories to results on the structure and cohomology of Schur algebras to
identities of decomposition numbers and also of $p$-Kostka numbers, in both
cases reproving and generalizing row and column removal rules.
| math.RT | isomorphisms are constructed between generalized schur algebras in different degrees the construction covers both the classical case of general linear groups over infinite fields of arbitrary characteristic and the quantized case in type a for any nonzero value of the quantum parameter q the construction does not depend on the characteristic of the underlying field or the choice of q neq 0 the proof combines a combinatorial construction with comodule structures and ringel duality applications range from equivalences of categories to results on the structure and cohomology of schur algebras to identities of decomposition numbers and also of pkostka numbers in both cases reproving and generalizing row and column removal rules | [['isomorphisms', 'are', 'constructed', 'between', 'generalized', 'schur', 'algebras', 'in', 'different', 'degrees', 'the', 'construction', 'covers', 'both', 'the', 'classical', 'case', 'of', 'general', 'linear', 'groups', 'over', 'infinite', 'fields', 'of', 'arbitrary', 'characteristic', 'and', 'the', 'quantized', 'case', 'in', 'type', 'a', 'for', 'any', 'nonzero', 'value', 'of', 'the', 'quantum', 'parameter', 'q', 'the', 'construction', 'does', 'not', 'depend', 'on', 'the', 'characteristic', 'of', 'the', 'underlying', 'field', 'or', 'the', 'choice', 'of', 'q', 'neq', '0', 'the', 'proof', 'combines', 'a', 'combinatorial', 'construction', 'with', 'comodule', 'structures', 'and', 'ringel', 'duality', 'applications', 'range', 'from', 'equivalences', 'of', 'categories', 'to', 'results', 'on', 'the', 'structure', 'and', 'cohomology', 'of', 'schur', 'algebras', 'to', 'identities', 'of', 'decomposition', 'numbers', 'and', 'also', 'of', 'pkostka', 'numbers', 'in', 'both', 'cases', 'reproving', 'and', 'generalizing', 'row', 'and', 'column', 'removal', 'rules']] | [-0.1701242488783759, 0.10932263565409156, -0.05499616928759392, 0.04587040534494696, -0.10815413265388359, -0.14407354327304675, 0.008440313221014163, 0.3098235916900071, -0.3393636020865325, -0.2424665881469762, 0.09512452733795251, -0.19417703425226449, -0.14387216944843195, 0.20179750973165775, -0.09358479398898445, -0.042562575322819186, 0.009744865324784507, 0.06018117167944978, -0.12962084569907192, -0.2602909357928847, 0.39185879922362865, -0.02223150050980752, 0.2687691640914292, 0.035625275216056955, 0.10592857825460734, 0.06747045052271369, -0.048448593380886154, -0.0002304802045572459, -0.1479119210176774, 0.10536814316570221, 0.2938902851043118, 0.08843828109722282, 0.1837531495392312, -0.34958663795076245, -0.10374981408801374, 0.15914696153790295, 0.11376189702580608, 0.06738325686672249, 0.006468876694991916, -0.23390004540130765, 0.08186704808240966, -0.1764725483681268, -0.13571571441249805, -0.06270404067729507, 0.05868353347424082, 0.05585208301944239, -0.2880558769773432, 0.02015468888252193, 0.11704510775172396, 0.11032145353545947, -0.09353821672004152, -0.17903205425885446, -0.02834962322670329, 0.09532067951377111, -0.027530204496338025, -0.03203248772937972, 0.1010817745826333, -0.16497990029637474, -0.177373172564281, 0.33516409348797155, 0.0012874573024476434, -0.2265783744016746, 0.15849730325181055, -0.16417745657701482, -0.17126571579400013, 0.10505172669853982, 0.05911892342385375, 0.14626589202666068, 0.027618940885552112, 0.18356132803186942, -0.09854904555050689, 0.0790225729883254, 0.15254281350067472, 0.03752584801147784, 0.14918695597464707, 0.0010220408104024492, 0.0387562145038533, 0.12012620885050981, 0.013926772610494145, -0.11705427581595408, -0.37182121529235496, -0.16325028755713614, -0.13130109709465188, 0.10522972093698431, -0.1452046216348593, -0.19211873739563465, 0.4127178197172848, 0.08871208341227979, 0.166816412958134, 0.12138531971219424, 0.2134592990550372, 0.05559347366897373, 0.11287313731185891, 0.006417838128719915, 0.12596719726492223, 0.29004278370422554, 0.02197773954180816, -0.12673460346329873, -0.009553994784165208, 0.19769724008736309] |
708.402 | Yields from single AGB stars | In order to understand the composition of planetary nebulae we first need to
study the nucleosynthesis occurring in the progenitor star during the
thermally-pulsing Asymptotic Giant Branch (AGB) phase. I present an overview of
single AGB evolution, with an emphasis on the mixing processes that alter the
envelope composition, followed by a discussion of the stellar yields available
from single AGB stellar models.
| astro-ph | in order to understand the composition of planetary nebulae we first need to study the nucleosynthesis occurring in the progenitor star during the thermallypulsing asymptotic giant branch agb phase i present an overview of single agb evolution with an emphasis on the mixing processes that alter the envelope composition followed by a discussion of the stellar yields available from single agb stellar models | [['in', 'order', 'to', 'understand', 'the', 'composition', 'of', 'planetary', 'nebulae', 'we', 'first', 'need', 'to', 'study', 'the', 'nucleosynthesis', 'occurring', 'in', 'the', 'progenitor', 'star', 'during', 'the', 'thermallypulsing', 'asymptotic', 'giant', 'branch', 'agb', 'phase', 'i', 'present', 'an', 'overview', 'of', 'single', 'agb', 'evolution', 'with', 'an', 'emphasis', 'on', 'the', 'mixing', 'processes', 'that', 'alter', 'the', 'envelope', 'composition', 'followed', 'by', 'a', 'discussion', 'of', 'the', 'stellar', 'yields', 'available', 'from', 'single', 'agb', 'stellar', 'models']] | [-0.04738402937258047, 0.13791458777730384, -0.10696164421027615, 0.0473895345533651, -0.1217308539956335, 0.021811894178094846, 0.06350169866345823, 0.38830258555355524, -0.16102515660976577, -0.3257719895669392, 0.060346224245482256, -0.22565612569451332, -0.06648693588517961, 0.1414124527724371, -0.07171547657529277, -0.06535591953803623, 0.18191649863821646, -0.032423735551890875, -0.09039592174887066, -0.26161736912197536, 0.37441168536269476, 0.07884622153840841, 0.10640724066881434, -0.0747712848648902, 0.0027601501076585716, -0.12177143051540332, -0.06304696664982845, -0.19123009816994743, -0.21876279653906028, 0.049214297698603734, 0.19657057269721426, 0.2008211899267894, 0.16819101351771562, -0.46074912661597844, -0.21944895141299756, 0.03288011730367702, 0.22896611062248076, 0.0568171097926559, -0.11519681525764071, -0.21330667124499406, 0.012890487347566893, -0.24561580716972314, -0.17994487815580906, 0.08253417585399889, -0.021614273492660787, 0.04289073768692712, -0.24510231314020026, 0.013668749008386855, 0.11278859732879533, 0.1190871066369471, -0.05411714441069062, -0.15298265626742727, -0.11595971728601152, 0.14806683406618143, 0.06339849298080755, -0.007066755987969893, 0.09411331731086922, -0.1580962429030074, 0.01867095567655587, 0.3905148579487725, -0.12592621175904892, 0.03025742985367302, 0.2187616779036554, -0.1996339175569278, -0.1845272669258217, 0.13436503945628092, 0.1942486520265303, 0.17547493648257048, -0.2353265001734216, 0.021426568776073438, 0.10836125657494579, 0.17093101686369333, 0.04398807895458525, 0.03991904345203361, 0.34580655630293583, 0.23590768317854593, -0.04154140499257852, 0.12287164621594703, -0.15252587432411338, -0.14976499856464445, -0.2901136027205558, -0.11530079455336645, -0.0922377093857716, 0.08913050571249591, -0.14887660722588264, -0.19476517292833517, 0.3411281387292085, 0.11183277906347362, 0.21937017119120036, -0.05781482451314491, 0.285934024209541, 0.09237518565108378, 0.029067004779501568, 0.09411337102452914, 0.3010231683119422, 0.2148851636568055, 0.11727711563515994, -0.3363836618428606, 0.20352360899634067, 0.07061594971529549] |
708.4021 | \emph{In situ} measurement of three-dimensional ion densities in focused
femtosecond pulses | We image spatial distributions of Xe$^{q+}$ ions in the focus of a laser beam
of ultrashort, intense pulses in all three dimensions, with a resolution of
$\sim$3 $\mu$m and $\sim$12 $\mu$m in the two transverse directions. This
allows for studying ionization processes without spatially averaging ion
yields. Our \emph{in situ} ion imaging is also useful to analyze focal
intensity profiles and to investigate the transverse modal purity of tightly
focused beams of complex light. As an example, the intensity profile of a
Hermite-Gaussian beam mode HG$_{1,0}$ recorded with ions is found to be in good
agreement with optical images.
| physics.atom-ph | we image spatial distributions of xeq ions in the focus of a laser beam of ultrashort intense pulses in all three dimensions with a resolution of sim3 mum and sim12 mum in the two transverse directions this allows for studying ionization processes without spatially averaging ion yields our emphin situ ion imaging is also useful to analyze focal intensity profiles and to investigate the transverse modal purity of tightly focused beams of complex light as an example the intensity profile of a hermitegaussian beam mode hg_10 recorded with ions is found to be in good agreement with optical images | [['we', 'image', 'spatial', 'distributions', 'of', 'xeq', 'ions', 'in', 'the', 'focus', 'of', 'a', 'laser', 'beam', 'of', 'ultrashort', 'intense', 'pulses', 'in', 'all', 'three', 'dimensions', 'with', 'a', 'resolution', 'of', 'sim3', 'mum', 'and', 'sim12', 'mum', 'in', 'the', 'two', 'transverse', 'directions', 'this', 'allows', 'for', 'studying', 'ionization', 'processes', 'without', 'spatially', 'averaging', 'ion', 'yields', 'our', 'emphin', 'situ', 'ion', 'imaging', 'is', 'also', 'useful', 'to', 'analyze', 'focal', 'intensity', 'profiles', 'and', 'to', 'investigate', 'the', 'transverse', 'modal', 'purity', 'of', 'tightly', 'focused', 'beams', 'of', 'complex', 'light', 'as', 'an', 'example', 'the', 'intensity', 'profile', 'of', 'a', 'hermitegaussian', 'beam', 'mode', 'hg_10', 'recorded', 'with', 'ions', 'is', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'optical', 'images']] | [-0.07741554209259244, 0.18435012611066948, -0.05994906232986903, 0.05454075291909619, 0.03796976280626746, -0.14834707419920182, -0.048775666868504215, 0.5265623898226388, -0.19829867485606548, -0.3027477842489524, 0.01778109801210919, -0.2776995844004868, 0.028211936285441302, 0.22323618829250336, -0.018117881439417144, 0.06802293117341053, 0.07333477202396631, -0.07218301723882252, -0.0017788540512532452, -0.15006968384841457, 0.26206116884357616, 0.12618063121311823, 0.31155188022447483, 0.04073766352874892, 0.13298377586167534, 0.04068363417529178, -0.03165873515951846, -0.016562760684031005, -0.11102741047245812, 0.12851612489404424, 0.25219169854214984, 0.055840771648871274, 0.21938857560673233, -0.4307610702377801, -0.24136919474077165, 0.033890243790739655, 0.18762120173540803, 0.11706614802230378, -0.08359789980423389, -0.24458392325560657, -0.010795850081046169, -0.0536590727825402, -0.18432838058251202, -0.006133649032562971, 0.005931391144332913, 0.0963119460573914, -0.30274176837315747, 0.05531289950411111, -0.00024378431393118688, 0.14299946984428227, -0.051786391611557875, -0.061710763511209916, -0.02724844014642722, 0.02207073801178105, 0.011223565316664018, 0.06077750828782363, 0.1650520900349912, -0.12024518959841939, -0.07538542246959191, 0.36727201018710526, -0.08784687491989106, -0.12035303625601287, 0.15497838506565373, -0.25059157524409953, -0.04012069519020009, 0.21545255800699625, 0.15855044094199428, 0.12520793612514222, -0.14941711507129427, -0.04715151992764286, -0.0014855353237718952, 0.24943154282330082, 0.18356589306792132, 0.09664124997303886, 0.21950019944972377, 0.17729437026214234, 0.015789427433391005, 0.16470403763452515, -0.21648885495960712, 0.0032796933581786497, -0.2336023576576643, -0.13993467888509742, -0.09997425469948806, 0.025354609045447136, -0.05681109664057695, -0.0919115535644054, 0.4514882058731984, 0.11330591590020198, 0.19125403699522114, -0.05502313336509527, 0.3187658651256744, 0.08939173188041516, 0.0417318867557511, -0.019330578756385615, 0.2487914153583804, 0.16406816034221414, 0.13569606557412414, -0.23970624259482992, -0.016423769433013335, -0.05180724889363105] |
708.4022 | Time reversal invariance in finance | Time reversal invariance can be summarized as follows: no difference can be
measured if a sequence of events is run forward or backward in time. Because
price time series are dominated by a randomness that hides possible structures
and orders, the existence of time reversal invariance requires care to be
investigated. Different statistics are constructed with the property to be zero
for time series which are time reversal invariant; they all show that
high-frequency empirical foreign exchange prices are not invariant. The same
statistics are applied to mathematical processes that should mimic empirical
prices. Monte Carlo simulations show that only some ARCH processes with a
multi-timescales structure can reproduce the empirical findings. A GARCH(1,1)
process can only reproduce some asymmetry. On the other hand, all the
stochastic volatility type processes are time reversal invariant. This clear
difference related to the process structures gives some strong selection
criterion for processes.
| q-fin.ST physics.soc-ph q-fin.CP | time reversal invariance can be summarized as follows no difference can be measured if a sequence of events is run forward or backward in time because price time series are dominated by a randomness that hides possible structures and orders the existence of time reversal invariance requires care to be investigated different statistics are constructed with the property to be zero for time series which are time reversal invariant they all show that highfrequency empirical foreign exchange prices are not invariant the same statistics are applied to mathematical processes that should mimic empirical prices monte carlo simulations show that only some arch processes with a multitimescales structure can reproduce the empirical findings a garch11 process can only reproduce some asymmetry on the other hand all the stochastic volatility type processes are time reversal invariant this clear difference related to the process structures gives some strong selection criterion for processes | [['time', 'reversal', 'invariance', 'can', 'be', 'summarized', 'as', 'follows', 'no', 'difference', 'can', 'be', 'measured', 'if', 'a', 'sequence', 'of', 'events', 'is', 'run', 'forward', 'or', 'backward', 'in', 'time', 'because', 'price', 'time', 'series', 'are', 'dominated', 'by', 'a', 'randomness', 'that', 'hides', 'possible', 'structures', 'and', 'orders', 'the', 'existence', 'of', 'time', 'reversal', 'invariance', 'requires', 'care', 'to', 'be', 'investigated', 'different', 'statistics', 'are', 'constructed', 'with', 'the', 'property', 'to', 'be', 'zero', 'for', 'time', 'series', 'which', 'are', 'time', 'reversal', 'invariant', 'they', 'all', 'show', 'that', 'highfrequency', 'empirical', 'foreign', 'exchange', 'prices', 'are', 'not', 'invariant', 'the', 'same', 'statistics', 'are', 'applied', 'to', 'mathematical', 'processes', 'that', 'should', 'mimic', 'empirical', 'prices', 'monte', 'carlo', 'simulations', 'show', 'that', 'only', 'some', 'arch', 'processes', 'with', 'a', 'multitimescales', 'structure', 'can', 'reproduce', 'the', 'empirical', 'findings', 'a', 'garch11', 'process', 'can', 'only', 'reproduce', 'some', 'asymmetry', 'on', 'the', 'other', 'hand', 'all', 'the', 'stochastic', 'volatility', 'type', 'processes', 'are', 'time', 'reversal', 'invariant', 'this', 'clear', 'difference', 'related', 'to', 'the', 'process', 'structures', 'gives', 'some', 'strong', 'selection', 'criterion', 'for', 'processes']] | [-0.13430005130389291, 0.1617886580951862, -0.1361850152798497, 0.18340451005724084, -0.10076363355658899, -0.13971636789357103, 0.027920936125693154, 0.4472219918435752, -0.3295530149439309, -0.2758072225014435, 0.14219809380038048, -0.25395705623102166, -0.10140509644787736, 0.20269696456817723, -0.02941873786586568, 0.026095483818516486, 0.05094899199184205, -0.010674921023790668, -0.019791563546625684, -0.254060039037351, 0.23954672579366038, 0.04786694224536319, 0.28206466074295394, 0.0022966055693292376, 0.0765129897677345, -0.03863276102761394, -0.052072202708672154, 0.01702883552866144, -0.0679958328901987, 0.008914576160515214, 0.24636902866397528, 0.07218165512215471, 0.23779140389211875, -0.4564539871534845, -0.2131863306120238, 0.12722256397140908, 0.107368699687294, 0.08018539579907094, -0.038468156032570505, -0.25011845241182, 0.08315383138653866, -0.11199547963833355, -0.10371107329620712, -0.12218476894403216, 0.023161278636001, 0.05325317290031832, -0.2808406559891855, 0.10163268865470543, 0.0771836452998671, 0.04370217251723426, 0.008000495838901441, -0.07873129152111559, -0.0643921028572641, 0.12947294692627637, 0.11126995577372223, -0.014991355247345546, 0.13318734396961612, -0.04716904480604067, -0.1927236043168357, 0.36358773032665853, -0.07412548552598529, -0.19498408344830542, 0.18268315368113203, -0.18516135251387053, -0.1582051890170914, 0.14640390002574996, 0.13938616966553682, 0.07244767218315662, -0.18788750897256984, 0.06445296204316074, -0.034941240157557014, 0.1710356895236811, 0.06669252413956311, 0.014274063522477428, 0.16485978729847894, 0.10444933548491549, 0.04286910491001686, 0.07180741518515556, -0.0423813700479074, -0.16857329815752717, -0.3461939960705654, -0.14557650768129318, -0.16651679725923743, 0.06123132890900175, -0.08494808431079959, -0.12593447525466747, 0.34878194198049856, 0.14726097315499848, 0.20781852625272917, 0.09247582039448914, 0.24380363123928941, 0.19138501726025278, 0.06271535423178001, 0.06473101789581796, 0.16801900080941937, 0.0507589503325797, 0.1068982323475382, -0.19625084874674914, 0.20694511565680604, 0.0432912802773734] |
708.4023 | A limited resource model of fault-tolerant capability against cascading
failure of complex network | We propose a novel capacity model for complex networks against cascading
failure. In this model, vertices with both higher loads and larger degrees
should be paid more extra capacities, i.e. the allocation of extra capacity on
vertex $i$ will be proportional to $ k_{i}^{\gamma} $, where $ k_{i}$ is the
degree of vertex $i$ and $\gamma>0$ is a free parameter. We have applied this
model on Barab\'asi-Albert network as well as two real transportation networks,
and found that under the same amount of available resource, this model can
achieve better network robustness than previous models.
| physics.soc-ph physics.data-an | we propose a novel capacity model for complex networks against cascading failure in this model vertices with both higher loads and larger degrees should be paid more extra capacities ie the allocation of extra capacity on vertex i will be proportional to k_igamma where k_i is the degree of vertex i and gamma0 is a free parameter we have applied this model on barabasialbert network as well as two real transportation networks and found that under the same amount of available resource this model can achieve better network robustness than previous models | [['we', 'propose', 'a', 'novel', 'capacity', 'model', 'for', 'complex', 'networks', 'against', 'cascading', 'failure', 'in', 'this', 'model', 'vertices', 'with', 'both', 'higher', 'loads', 'and', 'larger', 'degrees', 'should', 'be', 'paid', 'more', 'extra', 'capacities', 'ie', 'the', 'allocation', 'of', 'extra', 'capacity', 'on', 'vertex', 'i', 'will', 'be', 'proportional', 'to', 'k_igamma', 'where', 'k_i', 'is', 'the', 'degree', 'of', 'vertex', 'i', 'and', 'gamma0', 'is', 'a', 'free', 'parameter', 'we', 'have', 'applied', 'this', 'model', 'on', 'barabasialbert', 'network', 'as', 'well', 'as', 'two', 'real', 'transportation', 'networks', 'and', 'found', 'that', 'under', 'the', 'same', 'amount', 'of', 'available', 'resource', 'this', 'model', 'can', 'achieve', 'better', 'network', 'robustness', 'than', 'previous', 'models']] | [-0.12927365024026566, 0.09587791187504491, 0.0016752877477351782, 0.04205458289252819, -0.07273065855030666, -0.24640606004990392, 0.06068748478255757, 0.4005439541415199, -0.24395471641404942, -0.29398978209880355, 0.08745929373013736, -0.28803577437833117, -0.17323602118355397, 0.11742506844533997, -0.11281753788512855, 0.04210293438070668, 0.048614435243307726, 0.09450360893138818, 0.034191555223315136, -0.27666373280705986, 0.30591375081912503, 0.10607442231132434, 0.3258111230967628, 0.07217734234834827, 0.04831393795333557, -0.039012266911443445, 0.032717017589935234, 0.06351746526383027, -0.10588168529168368, 0.12395748520617957, 0.21246811279766856, 0.13771840220747086, 0.2751877974452717, -0.4556941722755085, -0.2929647251410962, 0.17722492203996568, 0.13185863306356982, 0.07761162176605436, 0.04033942128052541, -0.20615851324420054, 0.10988949331362824, -0.24439140747363325, -0.061516571032640695, -0.07868326334589786, 0.00014949793118860694, 0.014098101365891704, -0.3060822652263956, 0.030115095898509026, 0.017061135599870686, 0.03937626999526561, -0.016958650790032122, -0.17078216593958193, -0.057578494877216745, 0.12881265130856043, 0.01932630875239988, 0.03981733341077036, 0.07449892251291773, -0.16519194133426215, -0.13453833688214256, 0.40145059824399243, -0.039548499822638326, -0.2590755584833959, 0.16987355157303122, -0.0916973347315094, -0.12810314240977988, 0.07531018295980335, 0.22971946606924246, 0.10353286204102276, -0.14531023091646833, 0.025050408117969488, -0.02093511757410162, 0.14849475590041378, 0.019236467215795437, 0.042433233061743965, 0.14422713469325021, 0.2093804854449335, 0.13103372232916838, 0.1937005221766962, -0.06852606304276448, -0.10983401399290005, -0.2823924900922965, -0.10084568359121517, -0.18792186892376497, 0.0667150338272472, -0.15284382476126596, -0.08081923543915644, 0.3989392823263348, 0.17080844431644776, 0.20804920300820862, 0.1041159058363269, 0.3125482314972432, 0.09732749710463315, 0.12822442767875536, 0.13205848713558946, 0.174389782126297, 0.026950581096481165, 0.08735841659030744, -0.15586645747944303, 0.11249825525210126, 0.011015605723874255] |
708.4024 | ac Losses in a Finite Z Stack Using an Anisotropic Homogeneous-Medium
Approximation | A finite stack of thin superconducting tapes, all carrying a fixed current I,
can be approximated by an anisotropic superconducting bar with critical current
density Jc=Ic/2aD, where Ic is the critical current of each tape, 2a is the
tape width, and D is the tape-to-tape periodicity. The current density J must
obey the constraint \int J dx = I/D, where the tapes lie parallel to the x axis
and are stacked along the z axis. We suppose that Jc is independent of field
(Bean approximation) and look for a solution to the critical state for
arbitrary height 2b of the stack. For c<|x|<a we have J=Jc, and for |x|<c the
critical state requires that Bz=0. We show that this implies \partial
J/\partial x=0 in the central region. Setting c as a constant (independent of
z) results in field profiles remarkably close to the desired one (Bz=0 for
|x|<c) as long as the aspect ratio b/a is not too small. We evaluate various
criteria for choosing c, and we show that the calculated hysteretic losses
depend only weakly on how c is chosen. We argue that for small D/a the
anisotropic homogeneous-medium approximation gives a reasonably accurate
estimate of the ac losses in a finite Z stack. The results for a Z stack can be
used to calculate the transport losses in a pancake coil wound with
superconducting tape.
| cond-mat.supr-con | a finite stack of thin superconducting tapes all carrying a fixed current i can be approximated by an anisotropic superconducting bar with critical current density jcic2ad where ic is the critical current of each tape 2a is the tape width and d is the tapetotape periodicity the current density j must obey the constraint int j dx id where the tapes lie parallel to the x axis and are stacked along the z axis we suppose that jc is independent of field bean approximation and look for a solution to the critical state for arbitrary height 2b of the stack for cxa we have jjc and for xc the critical state requires that bz0 we show that this implies partial jpartial x0 in the central region setting c as a constant independent of z results in field profiles remarkably close to the desired one bz0 for xc as long as the aspect ratio ba is not too small we evaluate various criteria for choosing c and we show that the calculated hysteretic losses depend only weakly on how c is chosen we argue that for small da the anisotropic homogeneousmedium approximation gives a reasonably accurate estimate of the ac losses in a finite z stack the results for a z stack can be used to calculate the transport losses in a pancake coil wound with superconducting tape | [['a', 'finite', 'stack', 'of', 'thin', 'superconducting', 'tapes', 'all', 'carrying', 'a', 'fixed', 'current', 'i', 'can', 'be', 'approximated', 'by', 'an', 'anisotropic', 'superconducting', 'bar', 'with', 'critical', 'current', 'density', 'jcic2ad', 'where', 'ic', 'is', 'the', 'critical', 'current', 'of', 'each', 'tape', '2a', 'is', 'the', 'tape', 'width', 'and', 'd', 'is', 'the', 'tapetotape', 'periodicity', 'the', 'current', 'density', 'j', 'must', 'obey', 'the', 'constraint', 'int', 'j', 'dx', 'id', 'where', 'the', 'tapes', 'lie', 'parallel', 'to', 'the', 'x', 'axis', 'and', 'are', 'stacked', 'along', 'the', 'z', 'axis', 'we', 'suppose', 'that', 'jc', 'is', 'independent', 'of', 'field', 'bean', 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708.4025 | Black holes as mirrors: quantum information in random subsystems | We study information retrieval from evaporating black holes, assuming that
the internal dynamics of a black hole is unitary and rapidly mixing, and
assuming that the retriever has unlimited control over the emitted Hawking
radiation. If the evaporation of the black hole has already proceeded past the
"half-way" point, where half of the initial entropy has been radiated away,
then additional quantum information deposited in the black hole is revealed in
the Hawking radiation very rapidly. Information deposited prior to the half-way
point remains concealed until the half-way point, and then emerges quickly.
These conclusions hold because typical local quantum circuits are efficient
encoders for quantum error-correcting codes that nearly achieve the capacity of
the quantum erasure channel. Our estimate of a black hole's information
retention time, based on speculative dynamical assumptions, is just barely
compatible with the black hole complementarity hypothesis.
| hep-th gr-qc quant-ph | we study information retrieval from evaporating black holes assuming that the internal dynamics of a black hole is unitary and rapidly mixing and assuming that the retriever has unlimited control over the emitted hawking radiation if the evaporation of the black hole has already proceeded past the halfway point where half of the initial entropy has been radiated away then additional quantum information deposited in the black hole is revealed in the hawking radiation very rapidly information deposited prior to the halfway point remains concealed until the halfway point and then emerges quickly these conclusions hold because typical local quantum circuits are efficient encoders for quantum errorcorrecting codes that nearly achieve the capacity of the quantum erasure channel our estimate of a black holes information retention time based on speculative dynamical assumptions is just barely compatible with the black hole complementarity hypothesis | [['we', 'study', 'information', 'retrieval', 'from', 'evaporating', 'black', 'holes', 'assuming', 'that', 'the', 'internal', 'dynamics', 'of', 'a', 'black', 'hole', 'is', 'unitary', 'and', 'rapidly', 'mixing', 'and', 'assuming', 'that', 'the', 'retriever', 'has', 'unlimited', 'control', 'over', 'the', 'emitted', 'hawking', 'radiation', 'if', 'the', 'evaporation', 'of', 'the', 'black', 'hole', 'has', 'already', 'proceeded', 'past', 'the', 'halfway', 'point', 'where', 'half', 'of', 'the', 'initial', 'entropy', 'has', 'been', 'radiated', 'away', 'then', 'additional', 'quantum', 'information', 'deposited', 'in', 'the', 'black', 'hole', 'is', 'revealed', 'in', 'the', 'hawking', 'radiation', 'very', 'rapidly', 'information', 'deposited', 'prior', 'to', 'the', 'halfway', 'point', 'remains', 'concealed', 'until', 'the', 'halfway', 'point', 'and', 'then', 'emerges', 'quickly', 'these', 'conclusions', 'hold', 'because', 'typical', 'local', 'quantum', 'circuits', 'are', 'efficient', 'encoders', 'for', 'quantum', 'errorcorrecting', 'codes', 'that', 'nearly', 'achieve', 'the', 'capacity', 'of', 'the', 'quantum', 'erasure', 'channel', 'our', 'estimate', 'of', 'a', 'black', 'holes', 'information', 'retention', 'time', 'based', 'on', 'speculative', 'dynamical', 'assumptions', 'is', 'just', 'barely', 'compatible', 'with', 'the', 'black', 'hole', 'complementarity', 'hypothesis']] | [-0.13535826669638634, 0.15014342041882936, -0.1196794400522879, 0.11470947385922199, -0.04161280365152494, -0.21617434917322792, 0.09349497772333487, 0.3289917658811147, -0.242886252911158, -0.28225033288874046, 0.1389722259449576, -0.353795054221106, -0.04933723401725883, 0.1897895597675684, -0.06414091771363582, 0.062468976093108544, 0.046355338427762856, 0.08227850335755084, -0.1168099508307625, -0.2479199890414594, 0.36113412722512345, 0.14084885666527275, 0.25068257866643734, 0.017609224057900653, 0.11721244653109723, 0.005182099465484088, 0.01737800450535642, -0.004270325067230094, -0.15437102563014954, 0.028652676012248954, 0.2179696826972592, 0.1765977026224788, 0.23574265785200496, -0.4379015651557752, -0.2815490872369633, 0.06660396443732397, 0.14008161880430098, 0.17235442918961422, -0.13764187965696206, -0.23317895623737236, 0.08735289151819658, -0.21417975262082903, -0.06627346198140106, 0.04140719584772252, 0.05308583133000866, -0.07434811545486733, -0.19999064331952954, 0.06811128951884596, 0.11401161025761967, -0.057946662392309854, -0.06507990677663925, -0.02491269786481444, -0.07329817397788849, 0.13786539530486497, 0.07282267797830135, 0.031214507819730525, 0.25482202190446707, -0.09675628455801749, -0.09986801572393258, 0.3062476166146873, 0.0018328055485256646, -0.11884186499010982, 0.16029661378747798, -0.2318398260091707, -0.0631959738896858, 0.16958326550239933, 0.11264660169491807, 0.1516333727352977, -0.1537735789037034, 0.08375576236096709, -0.007419459226633042, 0.2080790560336334, 0.13592095832786405, 0.1196863059984179, 0.39226304234208825, 0.13498267507128103, 0.014628556804587198, 0.16777789007387006, -0.08307161124285416, -0.16316699009867464, -0.23370937456075155, -0.1470356475279837, -0.2183934822153877, 0.1489574318033525, -0.12605662963446967, -0.1512986879833604, 0.2885370919805571, 0.13350253610611026, 0.15448859802276735, 0.014005344534869974, 0.2950440180239626, 0.055869918022285095, 0.043963791094195674, 0.17144193703433316, 0.3267325318457795, 0.1324862035739065, 0.11894560098880902, -0.19773762815625368, 0.05662082349160083, 0.017065482240327647] |
708.4026 | The Evolution of Oxygen and Magnesium in the Bulge and Disk of the Milky
Way | We show that the Galactic bulge and disk share a similar, strong, decline in
[O/Mg] ratio with [Mg/H]. The similarity of the [O/Mg] trend in these two,
markedly different, populations suggests a metallicity-dependent modulation of
the stellar yields from massive stars, by mass loss from winds, and related to
the Wolf-Rayet phenomenon, as proposed by McWilliam & Rich (2004). We have
modified existing models for the chemical evolution of the Galactic bulge and
the solar neighborhood with the inclusion of metallicity-dependent oxygen
yields from theoretical predictions for massive stars that include mass loss by
stellar winds. Our results significantly improve the agreement between
predicted and observed [O/Mg] ratios in the bulge and disk above solar
metallicity; however, a small zero-point normalization problem remains to be
resolved. The zero-point shift indicates that either the semi-empirical yields
of Francois et al. (2004) need adjustment, or that the bulge IMF is not quite
as flat as found by Ballero et al. (2007); the former explanation is preferred.
Our result removes a previous inconsistency between the interpretation of
[O/Fe] and [Mg/Fe] ratios in the bulge, and confirms the conclusion that the
bulge formed more rapidly than the disk, based on the over-abundances of
elements produced by massive stars. We also provide an explanation for the
long-standing difference between [Mg/Fe] and [O/Fe] trends among disk stars
more metal-rich than the sun.
| astro-ph | we show that the galactic bulge and disk share a similar strong decline in omg ratio with mgh the similarity of the omg trend in these two markedly different populations suggests a metallicitydependent modulation of the stellar yields from massive stars by mass loss from winds and related to the wolfrayet phenomenon as proposed by mcwilliam rich 2004 we have modified existing models for the chemical evolution of the galactic bulge and the solar neighborhood with the inclusion of metallicitydependent oxygen yields from theoretical predictions for massive stars that include mass loss by stellar winds our results significantly improve the agreement between predicted and observed omg ratios in the bulge and disk above solar metallicity however a small zeropoint normalization problem remains to be resolved the zeropoint shift indicates that either the semiempirical yields of francois et al 2004 need adjustment or that the bulge imf is not quite as flat as found by ballero et al 2007 the former explanation is preferred our result removes a previous inconsistency between the interpretation of ofe and mgfe ratios in the bulge and confirms the conclusion that the bulge formed more rapidly than the disk based on the overabundances of elements produced by massive stars we also provide an explanation for the longstanding difference between mgfe and ofe trends among disk stars more metalrich than the sun | [['we', 'show', 'that', 'the', 'galactic', 'bulge', 'and', 'disk', 'share', 'a', 'similar', 'strong', 'decline', 'in', 'omg', 'ratio', 'with', 'mgh', 'the', 'similarity', 'of', 'the', 'omg', 'trend', 'in', 'these', 'two', 'markedly', 'different', 'populations', 'suggests', 'a', 'metallicitydependent', 'modulation', 'of', 'the', 'stellar', 'yields', 'from', 'massive', 'stars', 'by', 'mass', 'loss', 'from', 'winds', 'and', 'related', 'to', 'the', 'wolfrayet', 'phenomenon', 'as', 'proposed', 'by', 'mcwilliam', 'rich', '2004', 'we', 'have', 'modified', 'existing', 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708.4027 | Predictions for masses of bottom baryons | The recent observation of Sigma_b^{+-} (uub and ddb) and Xi_b^- (dsb) baryons
at the Tevatron within 2 MeV of our theoretical predictions provides a strong
motivation for applying the same theoretical approach, based on modeling the
color hyperfine interaction, to predict the masses of other bottom baryons
which might be observed in the foreseeable future. For S-wave qqb states we
predict M(Omega_b) = 6052.1+-5.6 MeV, M(Omega^*_b) = 6082.8+-5.6 MeV, and
M(Xi_b^0) = 5786.7 +- 3.0 MeV. For states with one unit of orbital angular
momentum between the b quark and the two light quarks we predict
M(Lambda_{b[1/2]}) = 5929+-2 MeV, M(Lambda_{b[3/2]}) = 5940+-2 MeV,
M(Xi_{b[1/2]}) = 6106+-4 MeV, and M(Xi_{b[3/2]}) = 6115+-4 MeV.
| hep-ph | the recent observation of sigma_b uub and ddb and xi_b dsb baryons at the tevatron within 2 mev of our theoretical predictions provides a strong motivation for applying the same theoretical approach based on modeling the color hyperfine interaction to predict the masses of other bottom baryons which might be observed in the foreseeable future for swave qqb states we predict momega_b 6052156 mev momega_b 6082856 mev and mxi_b0 57867 30 mev for states with one unit of orbital angular momentum between the b quark and the two light quarks we predict mlambda_b12 59292 mev mlambda_b32 59402 mev mxi_b12 61064 mev and mxi_b32 61154 mev | [['the', 'recent', 'observation', 'of', 'sigma_b', 'uub', 'and', 'ddb', 'and', 'xi_b', 'dsb', 'baryons', 'at', 'the', 'tevatron', 'within', '2', 'mev', 'of', 'our', 'theoretical', 'predictions', 'provides', 'a', 'strong', 'motivation', 'for', 'applying', 'the', 'same', 'theoretical', 'approach', 'based', 'on', 'modeling', 'the', 'color', 'hyperfine', 'interaction', 'to', 'predict', 'the', 'masses', 'of', 'other', 'bottom', 'baryons', 'which', 'might', 'be', 'observed', 'in', 'the', 'foreseeable', 'future', 'for', 'swave', 'qqb', 'states', 'we', 'predict', 'momega_b', '6052156', 'mev', 'momega_b', '6082856', 'mev', 'and', 'mxi_b0', '57867', '30', 'mev', 'for', 'states', 'with', 'one', 'unit', 'of', 'orbital', 'angular', 'momentum', 'between', 'the', 'b', 'quark', 'and', 'the', 'two', 'light', 'quarks', 'we', 'predict', 'mlambda_b12', '59292', 'mev', 'mlambda_b32', '59402', 'mev', 'mxi_b12', '61064', 'mev', 'and', 'mxi_b32', '61154', 'mev']] | [-0.041841646671255533, 0.25953112144340224, -0.04569112580081329, 0.13206785991094372, -0.03168809255386921, -0.1433713805237587, 0.13593999561952783, 0.37681282569277796, -0.166058291264988, -0.3465367196613249, -0.0792611906604663, -0.3420649334352384, 0.10223752452912642, 0.12998336641999714, 0.10611669012429589, 0.07490954904301846, 0.10048195261859949, 0.0006842575323312206, -0.05937743658308891, -0.17327572293133733, 0.2748827778503913, 0.01246767000671714, 0.21485087889781657, 0.21722470846601782, 0.02732825524451092, -0.013215326822977116, 0.03901834769095195, -0.16450438625674615, -0.1340565101755659, 0.0916924932265674, 0.209155760643548, 0.01491233536929011, 0.16625462095946708, -0.35165909948223767, -0.13226321700494736, 0.07036916968075836, 0.11351949590297931, 0.11347597508884451, -0.03163986676496434, -0.36511928883401, 0.14090802700028437, -0.1778136443871846, -0.16833896871576917, -0.07115150139013186, 0.015381889175029194, -0.03830322469931413, -0.266354571225399, 0.13593810180479543, -0.052671482741951624, 0.019115319273662456, -0.08718769491075519, -0.3021160500270235, -0.05936975412794012, 0.020235185253810375, 0.08319475959015495, 0.1187747798013585, 0.11344310956848587, -0.08375516852879143, -0.14676016150042415, 0.39834270185414467, -0.06787891313433647, -0.07720154376224951, 0.09197904424434726, -0.15211015618208082, -0.10117874102805682, 0.0864741112021333, 0.17752561249096502, 0.0533492565353183, -0.11807927181151637, 0.03405073285783998, -0.01822606599493388, 0.21506307664466032, 0.07498716079738942, 0.056668027762343434, 0.25751544749166105, 0.20437244052424075, -0.0498149504964339, -0.015816200653987717, -0.16265321048620612, -0.06415775568878397, -0.30565519780638883, -0.09524389864948697, -0.10876896975690777, 0.08820149416173313, -0.04067021252589295, -0.02174930448366448, 0.42327688245518885, 0.11568100209981996, 0.27825130595568015, -0.0028023217133484146, 0.2837482130432383, 0.03540815297697492, 0.080324951067017, 0.10283530801732807, 0.33525092079442864, 0.20696395326485026, 0.12201216335883959, -0.2514836827709161, -0.0433567571837673, -0.035063070998071356] |
708.4028 | Spontaneous soliton symmetry breaking in two-dimensional coupled
Bose-Einstein condensates supported by optical lattices | Models of two-dimensional (2D) traps, with the double-well structure in the
third direction, for Bose-Einstein condensate (BEC) are introduced, with
attractive or repulsive interactions between atoms. The models are based on
systems of linearly coupled 2D Gross-Pitaevskii equations (GPEs), where the
coupling accounts for tunneling between the wells. Each well carries an optical
lattice (OL) (stable 2D solitons cannot exist without OLs). The main subject of
the work is spontaneous symmetry breaking (SSB) in two-component 2D solitons
and localized vortices. We demonstrate that, in the system with attraction or
repulsion, SSB occurs in families of symmetric or antisymmetric solitons (or
vortices), respectively. The corresponding bifurcation destabilizes the
original solution branch and gives rise to a stable branch of asymmetric
solitons or vortices. In the model with attraction, all stable branches
eventually terminate due to the onset of collapse. Stable asymmetric solitons
in higher finite bandgaps, and vortices with a multiple topological charge are
found too. The models also give rise to first examples of \textit{embedded
solitons%} and \textit{embedded vortices}(the states located inside Bloch
bands) in two dimensions. In the linearly-coupled system with opposite signs of
the nonlinearity in the two cores, two distinct types of stable solitons and
vortices are found, dominated by either the self-attractive component or the
self-repulsive one. In the system with a mismatch between the two OLs, a
\textit{pseudo-bifurcation} is found: when the mismatch attains its largest
value ($\pi $), the bifurcation does not happen, as branches of different
solutions asymptotically approach each other but fail to merge.
| nlin.PS | models of twodimensional 2d traps with the doublewell structure in the third direction for boseeinstein condensate bec are introduced with attractive or repulsive interactions between atoms the models are based on systems of linearly coupled 2d grosspitaevskii equations gpes where the coupling accounts for tunneling between the wells each well carries an optical lattice ol stable 2d solitons cannot exist without ols the main subject of the work is spontaneous symmetry breaking ssb in twocomponent 2d solitons and localized vortices we demonstrate that in the system with attraction or repulsion ssb occurs in families of symmetric or antisymmetric solitons or vortices respectively the corresponding bifurcation destabilizes the original solution branch and gives rise to a stable branch of asymmetric solitons or vortices in the model with attraction all stable branches eventually terminate due to the onset of collapse stable asymmetric solitons in higher finite bandgaps and vortices with a multiple topological charge are found too the models also give rise to first examples of textitembedded solitons and textitembedded vorticesthe states located inside bloch bands in two dimensions in the linearlycoupled system with opposite signs of the nonlinearity in the two cores two distinct types of stable solitons and vortices are found dominated by either the selfattractive component or the selfrepulsive one in the system with a mismatch between the two ols a textitpseudobifurcation is found when the mismatch attains its largest value pi the bifurcation does not happen as branches of different solutions asymptotically approach each other but fail to merge | [['models', 'of', 'twodimensional', '2d', 'traps', 'with', 'the', 'doublewell', 'structure', 'in', 'the', 'third', 'direction', 'for', 'boseeinstein', 'condensate', 'bec', 'are', 'introduced', 'with', 'attractive', 'or', 'repulsive', 'interactions', 'between', 'atoms', 'the', 'models', 'are', 'based', 'on', 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708.4029 | Ultrapowers of Banach algebras and modules | The Arens products are the standard way of extending the product from a
Banach algebra $\mc A$ to its bidual $\mc A''$. Ultrapowers provide another
method which is more symmetric, but one that in general will only give a
bilinear map, which may not be associative. We show that if $\mc A$ is Arens
regular, then there is at least one way to use an ultrapower to recover the
Arens product, a result previously known for C$^*$-algebras. Our main tool is a
Principle of Local Reflexivity result for modules and algebras.
| math.FA | the arens products are the standard way of extending the product from a banach algebra mc a to its bidual mc a ultrapowers provide another method which is more symmetric but one that in general will only give a bilinear map which may not be associative we show that if mc a is arens regular then there is at least one way to use an ultrapower to recover the arens product a result previously known for calgebras our main tool is a principle of local reflexivity result for modules and algebras | [['the', 'arens', 'products', 'are', 'the', 'standard', 'way', 'of', 'extending', 'the', 'product', 'from', 'a', 'banach', 'algebra', 'mc', 'a', 'to', 'its', 'bidual', 'mc', 'a', 'ultrapowers', 'provide', 'another', 'method', 'which', 'is', 'more', 'symmetric', 'but', 'one', 'that', 'in', 'general', 'will', 'only', 'give', 'a', 'bilinear', 'map', 'which', 'may', 'not', 'be', 'associative', 'we', 'show', 'that', 'if', 'mc', 'a', 'is', 'arens', 'regular', 'then', 'there', 'is', 'at', 'least', 'one', 'way', 'to', 'use', 'an', 'ultrapower', 'to', 'recover', 'the', 'arens', 'product', 'a', 'result', 'previously', 'known', 'for', 'calgebras', 'our', 'main', 'tool', 'is', 'a', 'principle', 'of', 'local', 'reflexivity', 'result', 'for', 'modules', 'and', 'algebras']] | [-0.08611955030202088, 0.04724286647163623, -0.1279394512197801, 0.10149643854186921, -0.13124312830904683, -0.13365625694475985, -0.02431576438555187, 0.38508426320258077, -0.37980355551609624, -0.1674234235741116, 0.18761770720568047, -0.2319732781622436, -0.13740460665712317, 0.21968916231500252, -0.12165022506327419, -0.0655624328218247, 0.11767355670927318, 0.12253200307592065, -0.10869674199864596, -0.26349382820938316, 0.37483565557932297, 0.01925035197912091, 0.1757269825525377, 0.036822003962287866, 0.0865941856844494, -0.009347843553789042, 0.007735560330879557, 0.01597538550261531, -0.12239623527828691, 0.12831753946247174, 0.2784376742400147, 0.14312783119033326, 0.2632147055938021, -0.35014235563985596, -0.128073688529964, 0.17311408690683502, 0.1026018531225458, 0.04480396513827145, -0.06870600855016984, -0.2642321617721201, 0.1320898609829473, -0.2589772318868519, -0.1134577844634775, -0.10288919786830525, 0.04947421753492493, -0.032373411928886896, -0.3380492380820215, 0.012466526211618067, 0.15402861137536691, 0.03802165110687633, -0.05490240282609363, -0.07834757159203086, -0.05184578242875472, 0.09513433908040707, -0.03215270337986422, 0.07443274199389495, 0.11508030083624053, -0.04675012646283913, -0.14866725292445704, 0.35546442972762243, -0.012577380616586286, -0.2203987158533022, 0.21035254762026961, -0.18554360587930224, -0.18037132705960954, 0.07524037734697481, 0.023968495142001372, 0.11268684517715004, -0.13333891497945394, 0.13719191540807874, -0.15711068788768498, 0.12334435304580768, 0.030045970245827357, 0.030362707008172726, 0.12205499919402607, 0.12109379722112483, 0.15270924315388715, 0.1498663483461324, 0.058781497641006014, -0.022568163083313584, -0.3101283671887039, -0.2039917168708948, -0.13375729719524856, 0.12355483663386721, -0.10004428911753956, -0.15793181331521208, 0.3608890465245797, 0.11765664869760788, 0.17118589778604743, 0.0928689781218194, 0.2680292342595019, 0.06953297111917041, 0.13116821487546787, 0.0808780905432426, 0.2058629903246413, 0.2219651322811842, 0.030571998920864783, -0.05797778449410184, 0.028982291745206158, 0.18403860469154276] |
708.403 | Deep ACS Imaging in the Globular Cluster NGC 6397: The Cluster Color
Magnitude Diagram and Luminosity Function | We present the CMD from deep HST imaging in the globular cluster NGC 6397.
The ACS was used for 126 orbits to image a single field in two colors (F814W,
F606W) 5 arcmin SE of the cluster center. The field observed overlaps that of
archival WFPC2 data from 1994 and 1997 which were used to proper motion (PM)
clean the data. Applying the PM corrections produces a remarkably clean CMD
which reveals a number of features never seen before in a globular cluster CMD.
In our field, the main sequence stars appeared to terminate close to the
location in the CMD of the hydrogen-burning limit predicted by two independent
sets of stellar evolution models. The faintest observed main sequence stars are
about a magnitude fainter than the least luminous metal-poor field halo stars
known, suggesting that the lowest luminosity halo stars still await discovery.
At the bright end the data extend beyond the main sequence turnoff to well up
the giant branch. A populous white dwarf cooling sequence is also seen in the
cluster CMD. The most dramatic features of the cooling sequence are its turn to
the blue at faint magnitudes as well as an apparent truncation near F814W = 28.
The cluster luminosity and mass functions were derived, stretching from the
turn off down to the hydrogen-burning limit. It was well modeled with either a
very flat power-law or a lognormal function. In order to interpret these fits
more fully we compared them with similar functions in the cluster core and with
a full N-body model of NGC 6397 finding satisfactory agreement between the
model predictions and the data. This exercise demonstrates the important role
and the effect that dynamics has played in altering the cluster IMF.
| astro-ph | we present the cmd from deep hst imaging in the globular cluster ngc 6397 the acs was used for 126 orbits to image a single field in two colors f814w f606w 5 arcmin se of the cluster center the field observed overlaps that of archival wfpc2 data from 1994 and 1997 which were used to proper motion pm clean the data applying the pm corrections produces a remarkably clean cmd which reveals a number of features never seen before in a globular cluster cmd in our field the main sequence stars appeared to terminate close to the location in the cmd of the hydrogenburning limit predicted by two independent sets of stellar evolution models the faintest observed main sequence stars are about a magnitude fainter than the least luminous metalpoor field halo stars known suggesting that the lowest luminosity halo stars still await discovery at the bright end the data extend beyond the main sequence turnoff to well up the giant branch a populous white dwarf cooling sequence is also seen in the cluster cmd the most dramatic features of the cooling sequence are its turn to the blue at faint magnitudes as well as an apparent truncation near f814w 28 the cluster luminosity and mass functions were derived stretching from the turn off down to the hydrogenburning limit it was well modeled with either a very flat powerlaw or a lognormal function in order to interpret these fits more fully we compared them with similar functions in the cluster core and with a full nbody model of ngc 6397 finding satisfactory agreement between the model predictions and the data this exercise demonstrates the important role and the effect that dynamics has played in altering the cluster imf | [['we', 'present', 'the', 'cmd', 'from', 'deep', 'hst', 'imaging', 'in', 'the', 'globular', 'cluster', 'ngc', '6397', 'the', 'acs', 'was', 'used', 'for', '126', 'orbits', 'to', 'image', 'a', 'single', 'field', 'in', 'two', 'colors', 'f814w', 'f606w', '5', 'arcmin', 'se', 'of', 'the', 'cluster', 'center', 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708.4031 | BDDC and FETI-DP under Minimalist Assumptions | The FETI-DP, BDDC and P-FETI-DP preconditioners are derived in a particulary
simple abstract form. It is shown that their properties can be obtained from
only on a very small set of algebraic assumptions. The presentation is purely
algebraic and it does not use any particular definition of method components,
such as substructures and coarse degrees of freedom. It is then shown that
P-FETI-DP and BDDC are in fact the same. The FETI-DP and the BDDC
preconditioned operators are of the same algebraic form, and the standard
condition number bound carries over to arbitrary abstract operators of this
form. The equality of eigenvalues of BDDC and FETI-DP also holds in the
minimalist abstract setting. The abstract framework is explained on a standard
substructuring example.
| math.NA | the fetidp bddc and pfetidp preconditioners are derived in a particulary simple abstract form it is shown that their properties can be obtained from only on a very small set of algebraic assumptions the presentation is purely algebraic and it does not use any particular definition of method components such as substructures and coarse degrees of freedom it is then shown that pfetidp and bddc are in fact the same the fetidp and the bddc preconditioned operators are of the same algebraic form and the standard condition number bound carries over to arbitrary abstract operators of this form the equality of eigenvalues of bddc and fetidp also holds in the minimalist abstract setting the abstract framework is explained on a standard substructuring example | [['the', 'fetidp', 'bddc', 'and', 'pfetidp', 'preconditioners', 'are', 'derived', 'in', 'a', 'particulary', 'simple', 'abstract', 'form', 'it', 'is', 'shown', 'that', 'their', 'properties', 'can', 'be', 'obtained', 'from', 'only', 'on', 'a', 'very', 'small', 'set', 'of', 'algebraic', 'assumptions', 'the', 'presentation', 'is', 'purely', 'algebraic', 'and', 'it', 'does', 'not', 'use', 'any', 'particular', 'definition', 'of', 'method', 'components', 'such', 'as', 'substructures', 'and', 'coarse', 'degrees', 'of', 'freedom', 'it', 'is', 'then', 'shown', 'that', 'pfetidp', 'and', 'bddc', 'are', 'in', 'fact', 'the', 'same', 'the', 'fetidp', 'and', 'the', 'bddc', 'preconditioned', 'operators', 'are', 'of', 'the', 'same', 'algebraic', 'form', 'and', 'the', 'standard', 'condition', 'number', 'bound', 'carries', 'over', 'to', 'arbitrary', 'abstract', 'operators', 'of', 'this', 'form', 'the', 'equality', 'of', 'eigenvalues', 'of', 'bddc', 'and', 'fetidp', 'also', 'holds', 'in', 'the', 'minimalist', 'abstract', 'setting', 'the', 'abstract', 'framework', 'is', 'explained', 'on', 'a', 'standard', 'substructuring', 'example']] | [-0.10915098716202003, 0.07422596051138107, -0.12462134633546437, 0.09617237023520851, -0.11924481539176852, -0.13167419626445667, -0.013540950060511628, 0.32974177129506094, -0.29984971917257075, -0.2874144505845701, 0.13046708959438724, -0.22095905647166375, -0.14868192603964003, 0.20262706501606276, -0.09412349720780806, 0.02555344630282645, 0.08672994037908388, 0.072970357670532, -0.07468336280738193, -0.24608207573902194, 0.32729618408815647, -0.007706393260599636, 0.2366685289946362, 0.038370158368100725, 0.12346357009865767, -0.02075942412654801, -0.002555397369452124, 0.06085277077972859, -0.054146351758982206, 0.14330102454320096, 0.24597622559413435, 0.15277752358224092, 0.23059606350716053, -0.4006437786998666, -0.1687729417959728, 0.10418679893047102, 0.1574544523997853, 0.09702268850088604, -0.00764098376739861, -0.25356530650268966, 0.12351809714436228, -0.15110659865829035, -0.12255185837592415, -0.117402054971402, -0.022531846871342118, 0.016527097251993125, -0.28066160636234694, 0.018271730996704306, 0.12814766375302541, 0.05847680934409543, -0.05859340536143116, -0.13186699443220395, -0.028022552372857442, 0.0527833494266904, -0.014245850480790061, -0.014635126370505043, 0.09961613431966644, -0.07235570082902848, -0.04440344247315836, 0.3990234348286943, -0.017381842982599406, -0.2922341584159834, 0.19814248488860098, -0.07290975654088869, -0.1393623968162309, 0.06532707496932368, 0.11071118754069738, 0.15431304852955224, -0.12709640626742588, 0.18473836142102226, -0.10584801871223541, 0.1415701676160097, 0.0706816322976587, 0.0358930569202677, 0.0700470083241722, 0.11272785076455069, 0.09976541065951436, 0.10891178062250005, 0.03982284936554185, -0.11792855515197767, -0.344144203344254, -0.15837693273334014, -0.19342464800333467, 0.027323514039602655, -0.11547808824932843, -0.18010111376633717, 0.37447570600713476, 0.11209959932319002, 0.15129844315077473, 0.08567180041965794, 0.2979749258213896, 0.15491494989011728, 0.08916486617806178, 0.0968490584215861, 0.19099034556770714, 0.17395211905392446, 0.0457087548826329, -0.16386646856705286, 0.06663987282436432, 0.1566067330493796] |
708.4032 | Coherent ultrafast core-hole correlation spectroscopy: x-ray analogues
of multidimensional NMR | We propose two dimensional x-ray coherent correlation spectroscopy (2DXCS)
for the study of interactions between core-electron and valence transitions.
This technique might find experimental applications in the future when very
high intensity x-ray sources become available. Spectra obtained by varying two
delay periods between pulses show off-diagonal cross-peaks induced by coupling
of core transitions of two different types. Calculations of the N1s and O1s
signals of aminophenol isomers illustrate how novel information about many-body
effects in electronic structure and excitations of molecules can be extracted
from these spectra.
| quant-ph | we propose two dimensional xray coherent correlation spectroscopy 2dxcs for the study of interactions between coreelectron and valence transitions this technique might find experimental applications in the future when very high intensity xray sources become available spectra obtained by varying two delay periods between pulses show offdiagonal crosspeaks induced by coupling of core transitions of two different types calculations of the n1s and o1s signals of aminophenol isomers illustrate how novel information about manybody effects in electronic structure and excitations of molecules can be extracted from these spectra | [['we', 'propose', 'two', 'dimensional', 'xray', 'coherent', 'correlation', 'spectroscopy', '2dxcs', 'for', 'the', 'study', 'of', 'interactions', 'between', 'coreelectron', 'and', 'valence', 'transitions', 'this', 'technique', 'might', 'find', 'experimental', 'applications', 'in', 'the', 'future', 'when', 'very', 'high', 'intensity', 'xray', 'sources', 'become', 'available', 'spectra', 'obtained', 'by', 'varying', 'two', 'delay', 'periods', 'between', 'pulses', 'show', 'offdiagonal', 'crosspeaks', 'induced', 'by', 'coupling', 'of', 'core', 'transitions', 'of', 'two', 'different', 'types', 'calculations', 'of', 'the', 'n1s', 'and', 'o1s', 'signals', 'of', 'aminophenol', 'isomers', 'illustrate', 'how', 'novel', 'information', 'about', 'manybody', 'effects', 'in', 'electronic', 'structure', 'and', 'excitations', 'of', 'molecules', 'can', 'be', 'extracted', 'from', 'these', 'spectra']] | [-0.12254862670873314, 0.21881427992741728, -0.06151668555820686, 0.10663554602340514, 0.015074653399371824, -0.12768476444491467, 0.055016212425259656, 0.45437345419858777, -0.2643391917524643, -0.3222566458212515, 0.014385010719537562, -0.34413181115544217, -0.1314548263380434, 0.18896408873707662, 0.08611395568478593, -0.00885326620380849, 0.07522096311494839, -0.07179151010851181, -0.08334595995933511, -0.14482156037580396, 0.318841993830405, 0.021070646522783263, 0.27466184537597865, 0.1095033137257709, 0.029500801159545433, 0.006636048604187361, -0.014854621142148972, -0.01854532862049636, -0.09497361766481718, 0.12698462258396281, 0.30990396236437695, 0.04314172528900726, 0.18624757643150122, -0.4606663138540678, -0.23445167560346944, 0.040905572522734836, 0.13324190935067193, 0.11174278421500741, -0.05454693344789882, -0.302031570070878, 0.015195162264971323, -0.1544752430582289, -0.07576656228927679, -0.12751744534863635, 0.0049866143245856425, 0.06689909622235614, -0.22803092293433175, 0.09112966223078411, -0.03420953545177918, 0.07225270942048113, -0.10033761536659197, -0.11923581719138594, -0.037176113767917594, 0.13703712815490585, 0.027461636952276148, -0.058771001769305574, 0.11426556769346949, -0.1077586126519363, -0.15435856320221128, 0.355160043358283, -0.07410514330069079, -0.05287283118597643, 0.17812187265236537, -0.1705436483458724, -0.15167849956535148, 0.1587759496665798, 0.15644393581152505, 0.11716677655119362, -0.14663719488081095, -0.010999059016940855, 0.06823387485928833, 0.2281214579246765, 0.09296799548576738, 0.13591371924443127, 0.2421865660350683, 0.0998379222203999, -0.0188480434319286, 0.1564759943230879, -0.1620932270740267, -0.047118932512307234, -0.21613105316307982, -0.07054079463976154, -0.16912419441545945, 0.06219549079663878, -0.06718837212027337, -0.10128330631482112, 0.39586764947662867, 0.11703404333905404, 0.18838824873768487, -0.05176490401242708, 0.28492980293907916, 0.07774073810879747, 0.026396088421258124, 0.0019048327081945054, 0.2648902946736577, 0.14990168257053335, 0.049602139113081055, -0.28287397884644655, 0.03642250200040465, -0.008754656438954001] |
708.4033 | New Prediction For Leptonic Theta_13 | An extension of the neutrino sector with two right handed singlet neutrinos
responsible for Dirac neutrino masses is discussed. We show that this setup
with flavor symmetry can give large solar and atmospheric neutrino mixings and
suppressed Theta_13. The flavor symmetry U(1) x S_4 is shown to lead to
Theta_23 = \pi/4 and a new predictive formula for the Theta_13(\simeq 0.015).
| hep-ph | an extension of the neutrino sector with two right handed singlet neutrinos responsible for dirac neutrino masses is discussed we show that this setup with flavor symmetry can give large solar and atmospheric neutrino mixings and suppressed theta_13 the flavor symmetry u1 x s_4 is shown to lead to theta_23 pi4 and a new predictive formula for the theta_13simeq 0015 | [['an', 'extension', 'of', 'the', 'neutrino', 'sector', 'with', 'two', 'right', 'handed', 'singlet', 'neutrinos', 'responsible', 'for', 'dirac', 'neutrino', 'masses', 'is', 'discussed', 'we', 'show', 'that', 'this', 'setup', 'with', 'flavor', 'symmetry', 'can', 'give', 'large', 'solar', 'and', 'atmospheric', 'neutrino', 'mixings', 'and', 'suppressed', 'theta_13', 'the', 'flavor', 'symmetry', 'u1', 'x', 's_4', 'is', 'shown', 'to', 'lead', 'to', 'theta_23', 'pi4', 'and', 'a', 'new', 'predictive', 'formula', 'for', 'the', 'theta_13simeq', '0015']] | [-0.1390494344426164, 0.3966753602515382, 0.0655826679430902, 0.2199362152973966, -0.12006161551301678, -0.22385459755702566, 0.04470677071561416, 0.3247474969985584, -0.19965670080273412, -0.2711919030174613, 0.029170193796016975, -0.2734691195655614, -0.03810474826314021, 0.1388500617739434, -0.0006651376800922056, -0.001856832578778267, -0.0060379762474137046, -0.05120490092473726, -0.1410417952070323, -0.21754313309987386, 0.22461975955714783, 0.008781352980683247, 0.20597957937667769, 0.09547279368465146, 0.12147436129550139, -0.1183490836682419, 0.027580830020209154, -0.19261203242155414, -0.08854843366874168, -0.011396832251921295, 0.17639689817248533, 0.08163110825698823, -0.021702875786771377, -0.35870858159226676, -0.11062768168436984, 0.18977154926396905, 0.14659556592038522, 0.056669940566644074, -0.14612227273949732, -0.375599690216283, 0.08197965384460985, -0.25702759623527527, -0.21496260274822512, -0.08828325824191173, -0.09957034826899568, -0.20177854147429267, -0.41474062067766987, 0.10868828461971133, -0.06406591851264239, -0.008008716922874252, 0.03386462116613984, -0.2593679213120292, -0.08109124563634396, -0.0022935114568099378, 0.28335882192477585, -0.03551124264486134, 0.04957674070416639, -0.11448846670100465, -0.09444588370000323, 0.5003641173243523, -0.051884757770070185, -0.17081078585858148, 0.01776597541756928, -0.20646783959139914, -0.13508708281442522, 0.07778758599112431, 0.07331531324113409, 0.007445041835308075, -0.17715813075192272, 0.14217996648221742, -0.1794515445207556, 0.15871856316613656, 0.048477142971629895, 0.007779322463708619, 0.3152201575847963, 0.2040526127908379, 0.2046147837866253, -0.11054869573563338, -0.09545252032112331, 0.008232093505406131, -0.383734492212534, -0.09725586605879168, -0.029865087809351584, 0.12764538081464707, -0.10425578823706019, -0.07870332980673993, 0.48908143582132957, 0.14986321167089045, 0.16589003447443246, 0.013567275119324524, 0.22558662810673316, 0.04484077983846267, 0.05757094171519081, 0.005261791233594219, 0.26403169864206577, 0.18627711106479788, 0.13168848839898903, -0.3100314908272897, -0.02059554075046132, 0.14009798280118654] |
708.4034 | Tate motives and the fundamental group | Let k be a number field, and let S be a finite set of k-rational points of
P^1. We relate the Deligne-Goncharov contruction of the motivic fundamental
group of X:=P^1_k- S to the Tannaka group scheme of the category of mixed Tate
motives over X.
| math.AG math.KT | let k be a number field and let s be a finite set of krational points of p1 we relate the delignegoncharov contruction of the motivic fundamental group of xp1_k s to the tannaka group scheme of the category of mixed tate motives over x | [['let', 'k', 'be', 'a', 'number', 'field', 'and', 'let', 's', 'be', 'a', 'finite', 'set', 'of', 'krational', 'points', 'of', 'p1', 'we', 'relate', 'the', 'delignegoncharov', 'contruction', 'of', 'the', 'motivic', 'fundamental', 'group', 'of', 'xp1_k', 's', 'to', 'the', 'tannaka', 'group', 'scheme', 'of', 'the', 'category', 'of', 'mixed', 'tate', 'motives', 'over', 'x']] | [-0.26848585022136917, 0.06433957743696696, -0.21065284324766592, -0.030853215171847234, -0.07404672765974389, -0.15607898528579361, 0.07139763568506338, 0.2779512274144001, -0.4076217121856157, -0.20325527307414992, 0.041289075840871, -0.19474925395361212, -0.04027030599671741, 0.20946167398590682, -0.19508788409794486, -0.09481710689358933, -0.02864712320787962, 0.16314664747306082, -0.07172395278114913, -0.36045990667717404, 0.4172232360687367, -0.11447379946015603, 0.19352547239598838, 0.024434794823444166, 0.08147911195708223, 0.02412319858558476, 0.0232860334759015, -0.0091424131614351, -0.10456533912775041, 0.1537682119009713, 0.38231850042939186, 0.048255057658913525, 0.26172355911423734, -0.34637389050493406, -0.15875921755769226, 0.28445551267196967, 0.09667136940325416, -0.06112864947076454, 0.06596476671849053, -0.28167865919165835, 0.21830111959689233, -0.190597879938608, -0.13291333402442032, -0.0561842086270105, 0.11134472318524279, 0.03492411689529585, -0.28388105029630106, -0.08882796941974828, -0.026280789787686148, 0.2104090042412281, -0.07832970385721257, -0.15480387964567474, -0.11468583416345335, 0.05782298805452017, -0.013964878481834433, 0.12797183417823427, 0.07159401629076795, -0.07138785386328088, -0.10182860484996507, 0.4094789118267769, -0.0977228292383167, -0.12558366180679134, 0.05416974665727033, -0.20285458165372527, -0.07738560931973679, 0.18327144784636276, 0.07869200330487518, 0.23361691063659829, 0.08623758943881406, 0.23878142003614325, -0.19751579808287842, 0.08828342190488826, 0.047910537007589675, -0.01449663859120635, 0.1680385660120221, 0.07084090626517008, 0.05872558267397243, 0.07964495994518836, -0.027206183746890274, 0.03801551994022935, -0.4294654162124146, -0.22280422528815824, -0.11211322868502764, 0.19234877694831337, -0.13358726752021752, -0.1398394827644319, 0.4000283784620013, 0.09642568468874277, 0.17196844133303424, 0.1199923925491613, 0.14405484584181807, 0.023929649701702062, 0.008735701417398834, 0.025331948039143584, -0.02933345239089672, 0.3216448658427527, -0.11180712400968078, -0.1709746481027714, -0.055967281052712786, 0.2470186583177988] |
708.4035 | Three-dimensional coherent X-ray diffraction imaging of a ceramic
nanofoam: determination of structural deformation mechanisms | Ultra-low density polymers, metals, and ceramic nanofoams are valued for
their high strength-to-weight ratio, high surface area and insulating
properties ascribed to their structural geometry. We obtain the labrynthine
internal structure of a tantalum oxide nanofoam by X-ray diffractive imaging.
Finite element analysis from the structure reveals mechanical properties
consistent with bulk samples and with a diffusion limited cluster aggregation
model, while excess mass on the nodes discounts the dangling fragments
hypothesis of percolation theory.
| cond-mat.mtrl-sci physics.optics | ultralow density polymers metals and ceramic nanofoams are valued for their high strengthtoweight ratio high surface area and insulating properties ascribed to their structural geometry we obtain the labrynthine internal structure of a tantalum oxide nanofoam by xray diffractive imaging finite element analysis from the structure reveals mechanical properties consistent with bulk samples and with a diffusion limited cluster aggregation model while excess mass on the nodes discounts the dangling fragments hypothesis of percolation theory | [['ultralow', 'density', 'polymers', 'metals', 'and', 'ceramic', 'nanofoams', 'are', 'valued', 'for', 'their', 'high', 'strengthtoweight', 'ratio', 'high', 'surface', 'area', 'and', 'insulating', 'properties', 'ascribed', 'to', 'their', 'structural', 'geometry', 'we', 'obtain', 'the', 'labrynthine', 'internal', 'structure', 'of', 'a', 'tantalum', 'oxide', 'nanofoam', 'by', 'xray', 'diffractive', 'imaging', 'finite', 'element', 'analysis', 'from', 'the', 'structure', 'reveals', 'mechanical', 'properties', 'consistent', 'with', 'bulk', 'samples', 'and', 'with', 'a', 'diffusion', 'limited', 'cluster', 'aggregation', 'model', 'while', 'excess', 'mass', 'on', 'the', 'nodes', 'discounts', 'the', 'dangling', 'fragments', 'hypothesis', 'of', 'percolation', 'theory']] | [-0.083995164302807, 0.17536396027945383, -0.06488999506660006, 0.026802955362064815, -0.033180614304099534, -0.12029324566341333, 0.11144609150722169, 0.4283864780303997, -0.2663558408164898, -0.30983371575790886, 0.049143030075356364, -0.3527742101231942, -0.09988149218701732, 0.09468018754095947, 0.0037999354755958994, 0.06418406647453839, 0.014132865238934755, -0.051059227052925, -0.06837497781836302, -0.17079748116697915, 0.23775216958145737, 0.08099555299633869, 0.3505733145174344, 0.0702218824330516, 0.08255107313822452, 0.0021747598610189116, 0.023908058628188195, 0.04936511934155951, -0.1549559971632285, 0.1361832113958568, 0.2388341333842962, -0.0369068636445681, 0.17847625398890404, -0.4576581893614619, -0.25602303335059284, 0.020645051162589242, 0.09160350573349844, 0.049419921920383095, -0.09534376178320648, -0.2342886152501042, 0.11106256481159378, -0.1427683402104555, -0.14458115281209954, -0.03843276622403111, -0.013419067537462389, 0.043752572548770775, -0.1923252943277082, 0.12171744048041669, 0.007723979400219144, 0.10599624916181169, -0.14636257675325348, -0.14832324943366787, -0.10512475047663257, 0.03411635182596542, 0.012656125364309127, -0.018989600945968885, 0.2580761586857104, -0.14769844115535552, -0.052843276864370785, 0.34338091011788396, 0.011888247249157142, -0.09635592189088867, 0.22311779087711428, -0.19452320817681784, -0.10085212487123303, 0.2162805883138365, 0.14559701884816703, 0.08558204849691105, -0.1475882394934652, 0.08101426454880778, 0.029768081084585975, 0.20948678928716863, 0.06599369602957489, 0.08373609910140166, 0.24691426821329907, 0.21431655843421263, 0.003887832888427216, 0.14419227546534022, -0.11627656873630209, -0.013637097514662388, -0.20472219938450065, -0.17316824301599046, -0.17223866505869287, 0.07548661732800759, -0.1570328605430896, -0.2428294738150529, 0.28795329423155636, 0.05214242815870691, 0.18682660297113093, 0.009567143961887908, 0.23796354892909075, 0.043170333613415025, 0.08624285911965007, 0.0011113825115702442, 0.19442718695672984, 0.2501419190776761, 0.0783270089855619, -0.23753708171519777, 0.14789959150555268, 0.029535868544936984] |
708.4036 | Whittaker unitary dual of affine graded Hecke algebras of type E | This paper gives the classification of the Whittaker unitary dual for affine
graded Hecke algebras of type E. By the Iwahori-Matsumoto involution, this is
equivalent also to the classification of the spherical unitary dual for type E.
This work completes the classification of the Whittaker Iwahori-spherical
unitary dual, or equivalently, the spherical unitary dual, of split linear
algebraic p-adic groups.
| math.RT | this paper gives the classification of the whittaker unitary dual for affine graded hecke algebras of type e by the iwahorimatsumoto involution this is equivalent also to the classification of the spherical unitary dual for type e this work completes the classification of the whittaker iwahorispherical unitary dual or equivalently the spherical unitary dual of split linear algebraic padic groups | [['this', 'paper', 'gives', 'the', 'classification', 'of', 'the', 'whittaker', 'unitary', 'dual', 'for', 'affine', 'graded', 'hecke', 'algebras', 'of', 'type', 'e', 'by', 'the', 'iwahorimatsumoto', 'involution', 'this', 'is', 'equivalent', 'also', 'to', 'the', 'classification', 'of', 'the', 'spherical', 'unitary', 'dual', 'for', 'type', 'e', 'this', 'work', 'completes', 'the', 'classification', 'of', 'the', 'whittaker', 'iwahorispherical', 'unitary', 'dual', 'or', 'equivalently', 'the', 'spherical', 'unitary', 'dual', 'of', 'split', 'linear', 'algebraic', 'padic', 'groups']] | [-0.12193684168159961, 0.06333619801638027, -0.10069662624349197, 0.0351174024050124, -0.14291319567710162, -0.16941894177968303, -0.04417848051331627, 0.27573985476046803, -0.35077586517824483, -0.11857334990830472, 0.06724030763531724, -0.15301379018152753, -0.15843510320798185, 0.16600451555956777, -0.17530905873087857, -0.004007669600347678, 0.034084216528572145, 0.1742576078744605, -0.21918058840868374, -0.35246625437090795, 0.411171210060517, 0.04356407993085062, 0.2843950110914496, -0.06242186567784908, 0.07550302487798036, 0.11323800892569125, -0.061907222991188365, -0.11347339508744578, -0.08533556380619606, 0.17821597263682634, 0.3833181285609802, 0.015288007787118356, 0.16717511369497515, -0.3577406008106967, -0.06572131132707, 0.2501227769690255, 0.1552442261017859, -0.018500722820560138, 0.0015383394667878747, -0.2888030631157259, 0.05087665259682884, -0.23228131529564658, -0.1825915690433855, -0.02623030445538461, 0.08513783016436112, -0.03410315439105034, -0.25668638134375216, 0.05470439795899438, 0.20867858513568838, 0.13470795409133038, -0.11725003413545589, -0.07022454036826578, -0.03722561892742912, 0.03672224814460302, -0.09159217689884827, 0.04096708868940671, 0.10487643754264961, -0.07597328619643424, -0.16301922077933947, 0.3519998898729682, -0.01406786246225238, -0.2151356341006855, 0.15520486642296116, -0.10361606673492739, -0.17074503120578205, 0.07817917528639858, 0.0746882326900959, 0.11859985000143448, -0.05830919823298852, 0.25208720404965185, -0.19780486021869972, -0.025803348967262232, 0.11184166896467408, -0.043656749984559914, 0.15528430961615716, 0.042924600373953584, 0.04343156569326918, 0.1620874223144104, 0.040068322358032066, 0.00805587951714794, -0.4072621654719114, -0.21834782398461053, -0.09302894719876349, 0.17088747488645215, -0.09830942469028135, -0.1850832793667602, 0.47893890403211115, -0.000596662238240242, 0.1640650767677774, 0.17408888526260852, 0.16847224902206412, 0.10304094318610926, 0.0732382538728416, -0.012140855433729787, 0.14150797421267877, 0.2805217377259396, -0.08871784256771206, -0.24844824014386782, -0.12724843105146041, 0.30117649271463354] |
708.4037 | Dynamics of Rotating Accretion Flows Irradiated by a Quasar | We study the axisymmetric, time-dependent hydrodynamics of rotating flows
that are under the influence of supermassive black hole gravity and radiation
from an accretion disk surrounding the black hole. This work is an extension of
the earlier work presented by Proga, where nonrotating flows were studied.
Here, we consider effects of rotation, a position-dependent radiation
temperature, density at large radii, and uniform X-ray background radiation. As
in the non-rotating case, the rotating flow settles into a configuration with
two components (1) an equatorial inflow and (2) a bipolar inflow/outflow with
the outflow leaving the system along the pole. However, with rotation the flow
does not always reach a steady state. In addition, rotation reduces the outflow
collimation and the outward flux of mass and kinetic energy. Moreover rotation
increases the outward flux of the thermal energy and can lead to fragmentation
and time-variability of the outflow. We also show that a position-dependent
radiation temperature can significantly change the flow solution. In
particular, the inflow in the equatorial region can be replaced by a thermally
driven outflow. Generally, as it have been discussed and shown in the past, we
find that self-consistently determined preheating/cooling from the quasar
radiation can significantly reduce the rate at which the central BH is fed with
matter. However, our results emphasize also a little appreciated feature.
Namely, quasar radiation drives a non-spherical, multi-temperature and very
dynamic flow. These effects become dominant for luminosities in excess of 0.01
of the Eddington luminosity.
| astro-ph | we study the axisymmetric timedependent hydrodynamics of rotating flows that are under the influence of supermassive black hole gravity and radiation from an accretion disk surrounding the black hole this work is an extension of the earlier work presented by proga where nonrotating flows were studied here we consider effects of rotation a positiondependent radiation temperature density at large radii and uniform xray background radiation as in the nonrotating case the rotating flow settles into a configuration with two components 1 an equatorial inflow and 2 a bipolar inflowoutflow with the outflow leaving the system along the pole however with rotation the flow does not always reach a steady state in addition rotation reduces the outflow collimation and the outward flux of mass and kinetic energy moreover rotation increases the outward flux of the thermal energy and can lead to fragmentation and timevariability of the outflow we also show that a positiondependent radiation temperature can significantly change the flow solution in particular the inflow in the equatorial region can be replaced by a thermally driven outflow generally as it have been discussed and shown in the past we find that selfconsistently determined preheatingcooling from the quasar radiation can significantly reduce the rate at which the central bh is fed with matter however our results emphasize also a little appreciated feature namely quasar radiation drives a nonspherical multitemperature and very dynamic flow these effects become dominant for luminosities in excess of 001 of the eddington luminosity | [['we', 'study', 'the', 'axisymmetric', 'timedependent', 'hydrodynamics', 'of', 'rotating', 'flows', 'that', 'are', 'under', 'the', 'influence', 'of', 'supermassive', 'black', 'hole', 'gravity', 'and', 'radiation', 'from', 'an', 'accretion', 'disk', 'surrounding', 'the', 'black', 'hole', 'this', 'work', 'is', 'an', 'extension', 'of', 'the', 'earlier', 'work', 'presented', 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708.4038 | Studies of magnetogyration in cubic Bi12GeO20 crystals using
small-angular magnetooptic polarimetry | We present the results of studies for magnetogyration (MG) effect in
non-centro-symmetric, non-polar Bi12GeO20 crystals performed with the
small-angular polarimetric mapping technique. The magnitude of MG rotation
obtained with the small-angular mapping is close to the corresponding values
obtained recently on the basis of single-ray polarimetry. Our results
demonstrate that multiple reflections of light play a key role in the studies
of MG effect in Bi12GeO20 crystals. They lead to the error, which is at least
two times as large as the expected value of the MG rotation.
| physics.optics | we present the results of studies for magnetogyration mg effect in noncentrosymmetric nonpolar bi12geo20 crystals performed with the smallangular polarimetric mapping technique the magnitude of mg rotation obtained with the smallangular mapping is close to the corresponding values obtained recently on the basis of singleray polarimetry our results demonstrate that multiple reflections of light play a key role in the studies of mg effect in bi12geo20 crystals they lead to the error which is at least two times as large as the expected value of the mg rotation | [['we', 'present', 'the', 'results', 'of', 'studies', 'for', 'magnetogyration', 'mg', 'effect', 'in', 'noncentrosymmetric', 'nonpolar', 'bi12geo20', 'crystals', 'performed', 'with', 'the', 'smallangular', 'polarimetric', 'mapping', 'technique', 'the', 'magnitude', 'of', 'mg', 'rotation', 'obtained', 'with', 'the', 'smallangular', 'mapping', 'is', 'close', 'to', 'the', 'corresponding', 'values', 'obtained', 'recently', 'on', 'the', 'basis', 'of', 'singleray', 'polarimetry', 'our', 'results', 'demonstrate', 'that', 'multiple', 'reflections', 'of', 'light', 'play', 'a', 'key', 'role', 'in', 'the', 'studies', 'of', 'mg', 'effect', 'in', 'bi12geo20', 'crystals', 'they', 'lead', 'to', 'the', 'error', 'which', 'is', 'at', 'least', 'two', 'times', 'as', 'large', 'as', 'the', 'expected', 'value', 'of', 'the', 'mg', 'rotation']] | [-0.09610992515393134, 0.08553083026310473, -0.040104787125961765, -0.008176311836688824, -0.009197238683035331, -0.08717348655530562, 0.024175773820995044, 0.40706617788722116, -0.19332749183688844, -0.3293017544561908, 0.08974682214431509, -0.2784038555054438, -0.12904563027301005, 0.24391993627484357, -0.001555719512647816, 0.014113625804124499, 0.04389482479919458, -0.007074445552591767, -0.10660498586366884, -0.24100222958562276, 0.2906057217485449, 0.06149557585428868, 0.2671715428808793, 0.022526894363441637, 0.06066791926665852, -0.026077892731076906, -0.00399092268863959, 0.06770460147388457, -0.12814137889836275, 0.11773811804596335, 0.25075033116376116, 0.04741443382642631, 0.21919492428146659, -0.39451922191351296, -0.21502186049751582, 0.05505280846375085, 0.08139198613242202, 0.10696346873079338, -0.09850297651636149, -0.28080384297451627, 0.07695290844865321, -0.061176699916056045, -0.14071744498575017, -0.012580627176378454, -0.012355037698788303, 0.006599467646862779, -0.27363513961123925, 0.043170975554468374, 0.055776540389550586, 0.09584568277932703, -0.08983532879834197, -0.1664261075867606, -0.04442524023276443, 0.1271452422619664, 0.07233887564368724, 0.047468561418576256, 0.10261484360810191, -0.07530935313774362, -0.11171121211234658, 0.4183205125764722, -0.12335451596993066, -0.12979231617369114, 0.14335600267873988, -0.20109608850353175, -0.126377013656089, 0.15912997880063595, 0.1823207214031191, 0.13957294526820382, -0.0699227665817099, 0.019138348992869612, -0.04587050036172427, 0.1803679759780477, 0.025752641681936524, 0.07849052291740441, 0.1922045524586879, 0.15293958102397265, 0.029003522045622093, 0.09930299128782713, -0.16533234416939585, -0.014770066858978853, -0.2627203550274273, -0.19314755779314077, -0.16875244375495685, 0.0521603487324596, -0.10958405528106682, -0.12236164082285195, 0.3443590191059879, 0.12833293602203152, 0.20978343453524367, -0.026895678057501624, 0.23245745045798166, 0.0968672231247183, 0.11216453483073219, 0.01495523979732146, 0.3028443810485658, 0.1593796992230983, 0.08442723902408034, -0.287784799323639, 0.06981557890373681, 0.039605326717719436] |
708.4039 | Combinatorial fiber bundles and fragmentation of a fiberwise
PL-homeomorphism | With a compact PL manifold X we associate a category T(X). The objects of
T(X) are all combinatorial manifolds of type X, and morphisms are combinatorial
assemblies. We prove that the homotopy equivalence BT (X) \approx BPL(X) holds,
where PL(X) is the simplicial group of PL-homeomorphisms. Thus the space BT(X)
is a canonical countable (as a CW-complex) model of BPL(X). As a result, we
obtain functorial pure combinatorial models for PL fiber bundles with fiber X
and a PL polyhedron B as the base. Such a model looks like a T(X)-coloring of
some triangulation K of B. The vertices of K are colored by objects of T(X) and
the arcs are colored by morphisms in such a way that the diagram arising from
the 2-skeleton of K is commutative. Comparing with the classical results of
geometric topology, we obtain combinatorial models of the real Grassmannian in
small dimensions: BT(S^{n-1}) \approx BO(n) for n=1,2,3,4. The result is proved
in a sequence of results on similar models of B\PL(X). Special attention is
paid to the main noncompact case X=R^n and to the tangent bundle and Gauss
functor of a combinatorial manifold. The trick that makes the proof possible is
a collection of lemmas on "fragmentation of a fiberwise homeomorphism", a
generalization of the folklore lemma on fragmentation of an isotopy.
| math.GT math.CO math.CT | with a compact pl manifold x we associate a category tx the objects of tx are all combinatorial manifolds of type x and morphisms are combinatorial assemblies we prove that the homotopy equivalence bt x approx bplx holds where plx is the simplicial group of plhomeomorphisms thus the space btx is a canonical countable as a cwcomplex model of bplx as a result we obtain functorial pure combinatorial models for pl fiber bundles with fiber x and a pl polyhedron b as the base such a model looks like a txcoloring of some triangulation k of b the vertices of k are colored by objects of tx and the arcs are colored by morphisms in such a way that the diagram arising from the 2skeleton of k is commutative comparing with the classical results of geometric topology we obtain combinatorial models of the real grassmannian in small dimensions btsn1 approx bon for n1234 the result is proved in a sequence of results on similar models of bplx special attention is paid to the main noncompact case xrn and to the tangent bundle and gauss functor of a combinatorial manifold the trick that makes the proof possible is a collection of lemmas on fragmentation of a fiberwise homeomorphism a generalization of the folklore lemma on fragmentation of an isotopy | [['with', 'a', 'compact', 'pl', 'manifold', 'x', 'we', 'associate', 'a', 'category', 'tx', 'the', 'objects', 'of', 'tx', 'are', 'all', 'combinatorial', 'manifolds', 'of', 'type', 'x', 'and', 'morphisms', 'are', 'combinatorial', 'assemblies', 'we', 'prove', 'that', 'the', 'homotopy', 'equivalence', 'bt', 'x', 'approx', 'bplx', 'holds', 'where', 'plx', 'is', 'the', 'simplicial', 'group', 'of', 'plhomeomorphisms', 'thus', 'the', 'space', 'btx', 'is', 'a', 'canonical', 'countable', 'as', 'a', 'cwcomplex', 'model', 'of', 'bplx', 'as', 'a', 'result', 'we', 'obtain', 'functorial', 'pure', 'combinatorial', 'models', 'for', 'pl', 'fiber', 'bundles', 'with', 'fiber', 'x', 'and', 'a', 'pl', 'polyhedron', 'b', 'as', 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708.404 | Effective equidistribution for closed orbits of semisimple groups on
homogeneous spaces | We prove effective equidistribution, with polynomial rate, for large closed
orbits of semisimple groups on homogeneous spaces, under certain technical
restrictions (notably, the acting group should have finite centralizer in the
ambient group). The proofs make extensive use of spectral gaps, and also of a
closing lemma for such actions.
| math.DS math.NT | we prove effective equidistribution with polynomial rate for large closed orbits of semisimple groups on homogeneous spaces under certain technical restrictions notably the acting group should have finite centralizer in the ambient group the proofs make extensive use of spectral gaps and also of a closing lemma for such actions | [['we', 'prove', 'effective', 'equidistribution', 'with', 'polynomial', 'rate', 'for', 'large', 'closed', 'orbits', 'of', 'semisimple', 'groups', 'on', 'homogeneous', 'spaces', 'under', 'certain', 'technical', 'restrictions', 'notably', 'the', 'acting', 'group', 'should', 'have', 'finite', 'centralizer', 'in', 'the', 'ambient', 'group', 'the', 'proofs', 'make', 'extensive', 'use', 'of', 'spectral', 'gaps', 'and', 'also', 'of', 'a', 'closing', 'lemma', 'for', 'such', 'actions']] | [-0.21708547843038103, 0.11787406409159303, -0.13868110577575862, 0.07971359267830849, -0.12419185265898705, -0.10805768060497939, 0.0613110414147377, 0.38881449107080696, -0.28038298364728687, -0.2355474646668881, 0.17557772813597694, -0.19923957252409308, -0.10710571149364113, 0.2544111225940287, -0.13593693544156848, 0.009225317686796188, 0.10051335606724024, 0.12045637678820639, -0.12507464338093996, -0.29658418968319894, 0.4293409236520529, -0.032104099467396736, 0.23595100931823254, 0.09432929374626838, 0.07893211710266769, 0.05299979930743575, -0.05584787392057478, -0.041533371657133104, -0.14223013443872332, 0.1307390029914677, 0.2930582430958748, 0.009649141137488186, 0.2656603679899126, -0.41080632552504537, -0.17002359728328884, 0.17403053548187017, 0.13463698719860986, 0.03439494164660573, -0.07505111137172207, -0.3049884842336178, 0.12096181517466903, -0.1771013543754816, -0.163371650762856, -0.10750821231864392, 0.05729655179660767, 0.05736542413011193, -0.23509262174367904, 0.0006407611363101751, 0.10501341219991446, 0.19819545904174446, -0.09424980847164989, -0.11499390226788819, 0.003822636976838112, 0.15081448779441417, 0.03152460401877761, -0.055738620199263095, 0.15473669034428894, -0.04128610234707594, -0.0826161266490817, 0.38717388313263656, -0.07941316831856966, -0.21262570790946483, 0.18421419121325017, -0.18011240657418967, -0.21695858476683497, 0.10019026353955268, 0.13877185357734562, 0.11846736293286085, -0.007267487533390522, 0.20477131403866225, -0.12362295511178673, 0.06517535194987431, 0.11529502511024475, 0.05948220582678914, 0.08914240460842848, 0.062009242195636034, 0.16955447290558368, 0.11655911196023226, 0.055572435953654346, -0.009947043623542413, -0.34011425711214543, -0.16474799122661352, -0.0864732416626066, 0.12583035785704852, -0.15113637545116945, -0.19564581546466797, 0.3505826735310256, 0.08718789543490857, 0.11537784541025758, 0.12191162726841867, 0.20824953384697437, 0.0408921055495739, 0.09041146410629153, 0.09875341594219207, 0.11360504794865847, 0.1857058759778738, -0.07710605061613024, -0.1525300375605002, -0.005404255827888846, 0.18262490605935455] |
708.4041 | Integrable KdV Hierarchies on T^2=S^1\times S^1 | Following our previous works on extended higher spin symmetries on the torus
we focus in the present contribution to make a setup of the integrable KdV
hierarchies on $T^{2} = S^{1} \times S^{1}$. Actually two particular systems
are considered, namely the KdV and the Burgers non linear integrable model
associated to currents of conformal weights (2, 2) and (1, 1) respectively. One
key steps towards proving the integrability of these systems is to find their
Lax pair operators. This is explicitly done and a mapping between the two
systems is discussed.
| hep-th | following our previous works on extended higher spin symmetries on the torus we focus in the present contribution to make a setup of the integrable kdv hierarchies on t2 s1 times s1 actually two particular systems are considered namely the kdv and the burgers non linear integrable model associated to currents of conformal weights 2 2 and 1 1 respectively one key steps towards proving the integrability of these systems is to find their lax pair operators this is explicitly done and a mapping between the two systems is discussed | [['following', 'our', 'previous', 'works', 'on', 'extended', 'higher', 'spin', 'symmetries', 'on', 'the', 'torus', 'we', 'focus', 'in', 'the', 'present', 'contribution', 'to', 'make', 'a', 'setup', 'of', 'the', 'integrable', 'kdv', 'hierarchies', 'on', 't2', 's1', 'times', 's1', 'actually', 'two', 'particular', 'systems', 'are', 'considered', 'namely', 'the', 'kdv', 'and', 'the', 'burgers', 'non', 'linear', 'integrable', 'model', 'associated', 'to', 'currents', 'of', 'conformal', 'weights', '2', '2', 'and', '1', '1', 'respectively', 'one', 'key', 'steps', 'towards', 'proving', 'the', 'integrability', 'of', 'these', 'systems', 'is', 'to', 'find', 'their', 'lax', 'pair', 'operators', 'this', 'is', 'explicitly', 'done', 'and', 'a', 'mapping', 'between', 'the', 'two', 'systems', 'is', 'discussed']] | [-0.1788011437902848, 0.08664272647195806, -0.00342325075632996, 0.10142891094761176, -0.031766571409793366, -0.18391675702813598, -0.05016824736570318, 0.36363810954822434, -0.2373555451631546, -0.2062860479992297, 0.1455711744298848, -0.2952311681635264, -0.12969123543524702, 0.18286262767958558, -0.01566166331299933, 0.04008231846253491, 0.018739765090867878, 0.03742550181017982, -0.11945649798856013, -0.27727721912993325, 0.3784481925268968, -0.03160021528795672, 0.21735032782372501, 0.029644775949418545, 0.13056101043572804, -0.029463960373929392, -0.03943788432516158, -0.07639072297865318, -0.11911700458990203, 0.12447094380105328, 0.21268274795470965, 0.04515599529776308, 0.1909593064441449, -0.415253005321655, -0.19760063916651738, 0.0875415096240532, 0.15400500676284234, 0.10230759108801268, 0.033986665974629834, -0.2884536232799292, 0.06008356714931627, -0.13850691299885512, -0.1642076315254801, -0.030441702481928384, 0.04502388575735192, 0.027907895027763314, -0.2034798542244567, 0.08827848505332238, 0.15284328932563465, 0.021436140406876802, -0.0649710744050228, -0.11952786766923965, -0.057240959585437345, 0.07418590919632051, 0.049020052666310224, 0.04913701548034118, 0.06973660688640343, -0.10549786413968024, -0.13490691593809365, 0.36417069205393393, -0.04058140523524748, -0.25740586252262193, 0.2144369471973429, -0.11731138015165925, -0.19441468056757003, 0.07333365147933364, 0.1231514343759045, 0.10434909555543628, -0.1292176764536028, 0.07888744594852647, -0.03542214481987887, 0.15482564127693574, 0.02911047750773529, -2.6505544600594375e-05, 0.17827888138385284, 0.13483030767852647, 0.09077311200607154, 0.10074847364384266, -0.025702098698174167, -0.12881959793675277, -0.32333656141741407, -0.14641258593829762, -0.12904558394932084, 0.09688986063831383, -0.06455991973845003, -0.07472975796295536, 0.407095266909649, 0.15777272657255204, 0.2289606414230851, 0.0919340092271644, 0.21451184960185654, 0.1634902546421573, 0.0689400728740212, 0.04362570928513176, 0.2014499151419538, 0.16052351333200932, 0.11112262320497798, -0.21634341038815263, -0.08324528432244228, 0.16069285228020616] |
708.4042 | Moments of the critical values of families of elliptic curves, with
applications | We make conjectures on the moments of the central values of the family of all
elliptic curves and on the moments of the first derivative of the central
values of a large family of positive rank curves. In both cases the order of
magnitude is the same as that of the moments of the central values of an
orthogonal family of L-functions. Notably, we predict that the critical values
of all rank 1 elliptic curves is logarithmically larger than the rank 1 curves
in the positive rank family.
Furthermore, as arithmetical applications we make a conjecture on the
distribution of a_p's amongst all rank 2 elliptic curves, and also show how the
Riemann hypothesis can be deduced from sufficient knowledge of the first moment
of the positive rank family (based on an idea of Iwaniec).
| math.NT | we make conjectures on the moments of the central values of the family of all elliptic curves and on the moments of the first derivative of the central values of a large family of positive rank curves in both cases the order of magnitude is the same as that of the moments of the central values of an orthogonal family of lfunctions notably we predict that the critical values of all rank 1 elliptic curves is logarithmically larger than the rank 1 curves in the positive rank family furthermore as arithmetical applications we make a conjecture on the distribution of a_ps amongst all rank 2 elliptic curves and also show how the riemann hypothesis can be deduced from sufficient knowledge of the first moment of the positive rank family based on an idea of iwaniec | [['we', 'make', 'conjectures', 'on', 'the', 'moments', 'of', 'the', 'central', 'values', 'of', 'the', 'family', 'of', 'all', 'elliptic', 'curves', 'and', 'on', 'the', 'moments', 'of', 'the', 'first', 'derivative', 'of', 'the', 'central', 'values', 'of', 'a', 'large', 'family', 'of', 'positive', 'rank', 'curves', 'in', 'both', 'cases', 'the', 'order', 'of', 'magnitude', 'is', 'the', 'same', 'as', 'that', 'of', 'the', 'moments', 'of', 'the', 'central', 'values', 'of', 'an', 'orthogonal', 'family', 'of', 'lfunctions', 'notably', 'we', 'predict', 'that', 'the', 'critical', 'values', 'of', 'all', 'rank', '1', 'elliptic', 'curves', 'is', 'logarithmically', 'larger', 'than', 'the', 'rank', '1', 'curves', 'in', 'the', 'positive', 'rank', 'family', 'furthermore', 'as', 'arithmetical', 'applications', 'we', 'make', 'a', 'conjecture', 'on', 'the', 'distribution', 'of', 'a_ps', 'amongst', 'all', 'rank', '2', 'elliptic', 'curves', 'and', 'also', 'show', 'how', 'the', 'riemann', 'hypothesis', 'can', 'be', 'deduced', 'from', 'sufficient', 'knowledge', 'of', 'the', 'first', 'moment', 'of', 'the', 'positive', 'rank', 'family', 'based', 'on', 'an', 'idea', 'of', 'iwaniec']] | [-0.15514338712221873, 0.07207432149326491, -0.07727231679800481, 0.06836081668908305, -0.046393948784376034, -0.07434206787469004, 0.0018292067128532468, 0.2894142417709774, -0.24499035832722352, -0.27146348393341496, 0.1247605910688055, -0.29990707163928326, -0.11673362307083696, 0.24818470980277035, -0.052877960045502256, 0.04230945823243263, -0.020152532643249343, 0.128273936589735, -0.12080469865824527, -0.3239648344495626, 0.4259191606777595, -0.029664793753746286, 0.23166993639862804, 0.06078688400005227, 0.06475468615500896, 0.012402879029039793, 0.013334470462234719, -0.009737722941322115, -0.12373121636417962, 0.1871531227492352, 0.22796949812857462, 0.086550610098265, 0.23899810745227915, -0.34477554581392167, -0.1402340112870851, 0.17685049683300416, 0.07273872365400547, 0.046231124758609195, -0.009167610865725732, -0.19092951633675553, 0.1204692290108929, -0.149960233683962, -0.19165674092095178, -0.08045966372957258, 0.047476124975816415, 0.08692320595398101, -0.2694879324495125, 0.05062075722384885, 0.09970570392489655, 0.09783601546104052, -0.09017657943820553, -0.2119257786778608, -0.020850321785338334, 0.09554753864336926, 0.09717184517866195, -0.006557607021592835, 0.03111431723001844, -0.13369840398776595, -0.10637821543461351, 0.34203765135381803, -0.06724946578556704, -0.15628442120279618, 0.10969812818629139, -0.20407326445122487, -0.14758882300108114, 0.12425546911996588, 0.19360789328591146, 0.18639261007383676, -0.036992574086301584, 0.08049477977980513, -0.09543822516006098, 0.16909994542209514, 0.07818073144099161, -0.034442300206300486, 0.1816876956692605, 0.03631924175476627, 0.085385411598115, 0.11489062445279934, -0.07958480635129694, -0.06957886496266878, -0.34685752581137774, -0.1994683430530131, -0.2012403880605655, 0.0800790995039713, -0.15659518565425698, -0.163927478493372, 0.4567757908449466, 0.10908793884593604, 0.24079027428611446, 0.12290730296092024, 0.2182589356384393, 0.1161209900004254, 0.06398271936089245, 0.06341641632416077, 0.1921222805420854, 0.15363731283221893, -0.003189155767643963, -0.1590345743974087, 0.08423961365400855, 0.12903899219540407] |
708.4043 | Broadening of band-gap in photonic crystals with optically saturated
media | Due to strong absorption of the incident light, the media with high
refractive index are considered restrictive for applications in photonic
crystals (PhCs). The possibility to resolve this problem by optical saturation
effectively minimizing the absorption of the PhC medium is discussed. Such
approach might be promising for the significant broadening of the photonic
band-gap.
| physics.optics physics.ins-det | due to strong absorption of the incident light the media with high refractive index are considered restrictive for applications in photonic crystals phcs the possibility to resolve this problem by optical saturation effectively minimizing the absorption of the phc medium is discussed such approach might be promising for the significant broadening of the photonic bandgap | [['due', 'to', 'strong', 'absorption', 'of', 'the', 'incident', 'light', 'the', 'media', 'with', 'high', 'refractive', 'index', 'are', 'considered', 'restrictive', 'for', 'applications', 'in', 'photonic', 'crystals', 'phcs', 'the', 'possibility', 'to', 'resolve', 'this', 'problem', 'by', 'optical', 'saturation', 'effectively', 'minimizing', 'the', 'absorption', 'of', 'the', 'phc', 'medium', 'is', 'discussed', 'such', 'approach', 'might', 'be', 'promising', 'for', 'the', 'significant', 'broadening', 'of', 'the', 'photonic', 'bandgap']] | [-0.09999210454354232, 0.14667358557608995, -0.001506851003928618, 0.007996118097269739, -0.09672997924075885, -0.1635510521348227, 0.03118910952047868, 0.5004971853711389, -0.2934732783247124, -0.33721902627836575, 0.054585402736186305, -0.3069730746983127, -0.12612940289757468, 0.18913283329457045, -0.032410836592316625, 0.12584032441743395, -0.01025156839539043, -0.10663728497245095, 0.03013405765999447, -0.13845269941216842, 0.3007953706112775, 0.07033773528581316, 0.3294587975875898, 0.16633411418985236, 0.03665778606452725, 0.03601910293271596, -0.0002911893396892331, -0.005792846530675888, -0.0633129447444596, 0.15417347289410166, 0.2762563488022848, -0.03449989431114359, 0.2618354655294256, -0.40040910125456075, -0.3130376797846772, 0.08693672127344391, 0.14107827443460172, 0.14023399556224997, -0.10932315994392741, -0.26674346070397986, 0.06864804470572959, -0.09207803610373627, -0.1910501915368844, -0.023287096331742675, -0.0031091022728519007, 0.0027877763591029428, -0.1984516734088009, 0.06853919215500355, -0.01000748450275172, -0.006886132298545404, -0.05409432735124772, -0.06783463805067268, -0.01898666438223286, 0.012462112172083421, -0.004167863696982915, -0.03874914282932877, 0.1363611065189947, -0.14660492937757888, -0.0947926398028027, 0.4925475625829263, -0.050403652785793056, -0.10596351422877474, 0.12535410379482942, -0.13553106396205045, -0.03744555062360384, 0.22460381388664247, 0.20978607476096262, 0.0693036502819847, -0.072530503266237, -0.0084710042077032, -0.028824568929320032, 0.1973940911618146, 0.1263673612085933, 0.1673687465658242, 0.22698568141257222, 0.19368441644209353, 0.037641152333129535, 0.14326665352140977, -0.06168034302748062, 0.051005989660254936, -0.2282986730845137, -0.17308403758162802, -0.1816139013506472, 0.03546924147416245, -0.1542960053309798, -0.1684679990464991, 0.37982895729047333, 0.1506693408401175, 0.12367520017380064, -0.08924733317372474, 0.3119035548107191, 0.1839663299816576, 0.10716029441153462, 0.006854239267043092, 0.3662974189628254, 0.16633512069979176, 0.14860331646420738, -0.2386714801911942, 0.04332655686885119, -0.0661633117505434] |
708.4044 | Mutual Coherence of Polarized Light in Disordered Media: Two-Frequency
Method Extended | The paper addresses the two-point correlations of electromagnetic waves in
general random, bi-anisotropic media whose constitutive tensors are complex
Hermitian, positive- or negative-definite matrices. A simplified version of the
two-frequency Wigner distribution (2f-WD) for polarized waves is introduced and
the closed form Wigner-Moyal equation is derived from the Maxwell equations. In
the weak-disorder regime with an arbitrarily varying background the
two-frequency radiative transfer (2f-RT) equations for the associated $2\times
2$ coherence matrices are derived from the Wigner-Moyal equation by using the
multiple scale expansion. In birefringent media, the coherence matrix becomes a
scalar and the 2f-RT equations take the scalar form due to the absence of
depolarization. A paraxial approximation is developed for spatialy anisotropic
media. Examples of isotropic, chiral, uniaxial and gyrotropic media are
discussed.
| physics.optics | the paper addresses the twopoint correlations of electromagnetic waves in general random bianisotropic media whose constitutive tensors are complex hermitian positive or negativedefinite matrices a simplified version of the twofrequency wigner distribution 2fwd for polarized waves is introduced and the closed form wignermoyal equation is derived from the maxwell equations in the weakdisorder regime with an arbitrarily varying background the twofrequency radiative transfer 2frt equations for the associated 2times 2 coherence matrices are derived from the wignermoyal equation by using the multiple scale expansion in birefringent media the coherence matrix becomes a scalar and the 2frt equations take the scalar form due to the absence of depolarization a paraxial approximation is developed for spatialy anisotropic media examples of isotropic chiral uniaxial and gyrotropic media are discussed | [['the', 'paper', 'addresses', 'the', 'twopoint', 'correlations', 'of', 'electromagnetic', 'waves', 'in', 'general', 'random', 'bianisotropic', 'media', 'whose', 'constitutive', 'tensors', 'are', 'complex', 'hermitian', 'positive', 'or', 'negativedefinite', 'matrices', 'a', 'simplified', 'version', 'of', 'the', 'twofrequency', 'wigner', 'distribution', '2fwd', 'for', 'polarized', 'waves', 'is', 'introduced', 'and', 'the', 'closed', 'form', 'wignermoyal', 'equation', 'is', 'derived', 'from', 'the', 'maxwell', 'equations', 'in', 'the', 'weakdisorder', 'regime', 'with', 'an', 'arbitrarily', 'varying', 'background', 'the', 'twofrequency', 'radiative', 'transfer', '2frt', 'equations', 'for', 'the', 'associated', '2times', '2', 'coherence', 'matrices', 'are', 'derived', 'from', 'the', 'wignermoyal', 'equation', 'by', 'using', 'the', 'multiple', 'scale', 'expansion', 'in', 'birefringent', 'media', 'the', 'coherence', 'matrix', 'becomes', 'a', 'scalar', 'and', 'the', '2frt', 'equations', 'take', 'the', 'scalar', 'form', 'due', 'to', 'the', 'absence', 'of', 'depolarization', 'a', 'paraxial', 'approximation', 'is', 'developed', 'for', 'spatialy', 'anisotropic', 'media', 'examples', 'of', 'isotropic', 'chiral', 'uniaxial', 'and', 'gyrotropic', 'media', 'are', 'discussed']] | [-0.18024774544127287, 0.20354544735618402, -0.020626802541315555, 0.07770647188555449, -0.09509125082474201, -0.12071884293295443, -0.09987158783711493, 0.3378473353236914, -0.2566544675976038, -0.19275059446319937, 0.06261872253660113, -0.30004489233158527, -0.16321830463781953, 0.15198310728929937, 0.08639705506851897, 0.08863031198829413, -0.027367422610521316, -0.015330181501805783, -0.09312170332670212, -0.1616705447472632, 0.39061226627975704, -0.006155342722311616, 0.295243220038712, 0.0031138928681612014, 0.14363423198089004, 0.033466111443936825, -0.03210096412524581, -0.004859599244780839, -0.08802355976775289, 0.057871860119485065, 0.22289660506509246, 0.016263257836923003, 0.19132507268898188, -0.45329203389585015, -0.2567990953251719, 0.05447410851716995, 0.13580979218706488, 0.16159652028232813, -0.02735884289070964, -0.32846462915837765, 0.00869532784074545, -0.14597299068421127, -0.19220811689272524, -0.0629716579169035, 0.009917236573994159, 0.014309699304401874, -0.30584999329596757, 0.12971436747536064, 0.0620929328687489, 0.020662779131904244, -0.08944413691014051, -0.0852268843529746, 0.03123190340399742, 0.036662672592327, 0.02840583987161517, -0.02618747039977461, 0.09805584697704763, -0.1455376315349713, -0.027094741869717838, 0.42981369933020325, -0.09387665145099162, -0.29403700652718545, 0.06814623709302396, -0.1371561385206878, -0.016791549492627383, 0.19027702677808703, 0.18692133159190416, 0.11359076577797532, -0.17608419489860536, 0.11696795678371563, -0.07277204887196422, 0.13392676401045173, 0.12524099145643414, -0.002485880510415882, 0.16134090718254446, 0.05360176678746939, -0.015312675895169377, 0.15247207514941694, -0.006023088906425983, -0.12171126440539956, -0.30259169070096686, -0.12941719980631022, -0.2012033268902451, 0.13513801018893717, -0.14595964948134496, -0.1899927335381508, 0.3512907462529838, 0.07534179250150919, 0.09502187692373991, 0.037074287593364716, 0.27002545079775153, 0.1755766042098403, 0.01726110078394413, 0.08737568473443388, 0.24280015462636947, 0.28370287056453525, 0.1690937390252948, -0.21844948980957268, 0.00649993359297514, 0.07590965752489864] |
708.4045 | Stable rank for inclusions of C*-algebras | When a unital \ca $A$ has topological stable rank one (write $\tsr(A) = 1$),
we know that $\tsr(pAp) \leq 1$ for a non-zero projection $p \in A$. When,
however, $\tsr(A) \geq 2$, it is generally faluse. We prove that if a unital
C*-algebra $A$ has a simple unital C*-subalgebra $D$ of $A$ with common unit
such that $D$ has \PSP and $\sup_{p\in P(D)}\tsr(pAp) < \infty$, then $\tsr(A)
\leq 2.$ As an application let $A$ be a simple unital \ca with $\tsr(A) = 1$
and \PSP, $\{G_k\}_{k=1}^n$ finite groups, $\af_k$ actions from $G_k$ to ${\rm
Aut}((...((A\times_{\af_1}G_1)\times_{\af_2}
G_2)...)\times_{\af_{k-1}}G_{k-1}).$ $(G_0 = \{1\})$ Then $$ \tsr((...
((A\times_{\af_1}G_1)\times_{\af_2} G_2)...)\times_{\af_n}G_n) \leq 2. $$
| math.OA | when a unital ca a has topological stable rank one write tsra 1 we know that tsrpap leq 1 for a nonzero projection p in a when however tsra geq 2 it is generally faluse we prove that if a unital calgebra a has a simple unital csubalgebra d of a with common unit such that d has psp and sup_pin pdtsrpap infty then tsra leq 2 as an application let a be a simple unital ca with tsra 1 and psp g_k_k1n finite groups af_k actions from g_k to rm autatimes_af_1g_1times_af_2 g_2times_af_k1g_k1 g_0 1 then tsr atimes_af_1g_1times_af_2 g_2times_af_ng_n leq 2 | [['when', 'a', 'unital', 'ca', 'a', 'has', 'topological', 'stable', 'rank', 'one', 'write', 'tsra', '1', 'we', 'know', 'that', 'tsrpap', 'leq', '1', 'for', 'a', 'nonzero', 'projection', 'p', 'in', 'a', 'when', 'however', 'tsra', 'geq', '2', 'it', 'is', 'generally', 'faluse', 'we', 'prove', 'that', 'if', 'a', 'unital', 'calgebra', 'a', 'has', 'a', 'simple', 'unital', 'csubalgebra', 'd', 'of', 'a', 'with', 'common', 'unit', 'such', 'that', 'd', 'has', 'psp', 'and', 'sup_pin', 'pdtsrpap', 'infty', 'then', 'tsra', 'leq', '2', 'as', 'an', 'application', 'let', 'a', 'be', 'a', 'simple', 'unital', 'ca', 'with', 'tsra', '1', 'and', 'psp', 'g_k_k1n', 'finite', 'groups', 'af_k', 'actions', 'from', 'g_k', 'to', 'rm', 'autatimes_af_1g_1times_af_2', 'g_2times_af_k1g_k1', 'g_0', '1', 'then', 'tsr', 'atimes_af_1g_1times_af_2', 'g_2times_af_ng_n', 'leq', '2']] | [-0.10663871072068974, 0.17510770605816275, -0.05118859245615837, -0.008198274415917695, -0.025868094398302365, -0.29206367793933047, 0.01483428476194104, 0.4028208185189434, -0.3279861136861555, -0.15776190079830504, 0.10901879887019826, -0.31420665643699874, -0.09325743688700291, 0.14509246150379654, -0.10191487564428986, -0.1012150530938755, 0.008548023189407783, 0.18054410295847517, -0.10670811675519652, -0.22556245212371534, 0.2974487635828964, -0.10686465411109257, 0.107603282033169, 0.03384328359778929, 0.11253349416490112, -0.004254457080265978, 0.1134513139284656, 0.03161179401737812, -0.17577637622385878, 0.019052849476573323, 0.2942087206743903, 0.1663415685864063, 0.32387504153526747, -0.3014575739565131, -0.14276226681585497, 0.22570164977562623, 0.16882403002499224, -0.03468320243429024, -0.04654739441217056, -0.20704177132510876, 0.23366401922776475, -0.24303426834816053, -0.06434777240360995, -0.043473643087014395, 0.2179261584482207, -0.07515578519343143, -0.3867771728680684, -0.03488926785987812, 0.1304892760977804, 0.12053426827437111, -0.028742006337679513, -0.15047081280499697, -0.041508608804708656, 0.08797052173918768, -0.088680108448818, 0.1291797283914063, 0.07309629351596583, -0.01892687220658575, -0.08959826649995623, 0.38284476240585136, -0.05945881618862296, -0.20246424294680684, 0.121546171344612, -0.22027728044438166, -0.1668380544863764, 0.10912281663507571, 0.047774356444478853, 0.17579512919873705, 0.011784609827752849, 0.2074715894542041, -0.1335424591510833, 0.19656986620399977, 0.01884473917575983, -0.02728513723679378, 0.0795570513934593, 0.10474033894754209, 0.12164553602809434, 0.0673621217912104, -0.005734324414323974, 0.1119798415105094, -0.33550223163687265, -0.19015712021839815, -0.16710742835242015, 0.25102339604112145, -0.10243873120570852, -0.07045576328688025, 0.3214429204894619, 0.06054273241578222, 0.2197988734498702, 0.10903840961323662, 0.24048578753494299, 0.04331078872488873, 0.03613452899914522, 0.12163289068880809, 0.06833553739956447, 0.21815360984816165, -0.027988356978192436, -0.10397247145474367, -0.03675862381766949, 0.0802312249798778] |
708.4046 | Super Gelfand-Dickey Algebra And Integrable Models | We present in this work a systematic study of integrable models and
supersymmetric extensions of the Gelfand-Dickey algebra of pseudo differential
operators. We describe in detail the relation existing between the algebra of
super pseudo-differential operators on the ring of superfields
$u_{\frac{s}{2}}(z,\theta),s\in Z$ and the higher and lower spin extensions of
the conformal algebra.
| hep-th | we present in this work a systematic study of integrable models and supersymmetric extensions of the gelfanddickey algebra of pseudo differential operators we describe in detail the relation existing between the algebra of super pseudodifferential operators on the ring of superfields u_fracs2zthetasin z and the higher and lower spin extensions of the conformal algebra | [['we', 'present', 'in', 'this', 'work', 'a', 'systematic', 'study', 'of', 'integrable', 'models', 'and', 'supersymmetric', 'extensions', 'of', 'the', 'gelfanddickey', 'algebra', 'of', 'pseudo', 'differential', 'operators', 'we', 'describe', 'in', 'detail', 'the', 'relation', 'existing', 'between', 'the', 'algebra', 'of', 'super', 'pseudodifferential', 'operators', 'on', 'the', 'ring', 'of', 'superfields', 'u_fracs2zthetasin', 'z', 'and', 'the', 'higher', 'and', 'lower', 'spin', 'extensions', 'of', 'the', 'conformal', 'algebra']] | [-0.14032835696103438, 0.07516022321750533, -0.027083630902024935, 0.12084059368704779, -0.09366356116666827, -0.09288548125516412, -0.058467457022623355, 0.31296102316030916, -0.27280282143960305, -0.2236379953628441, 0.13789961158456104, -0.29088770134269065, -0.16765038774542088, 0.13871581112649642, -0.06622854766066906, 0.01931475261050575, -0.006928942289273694, 0.07334947494684525, -0.2113815951512529, -0.21046398161857757, 0.4244829728355948, 0.023871549826888543, 0.1824728729695363, 0.016690886026343884, 0.11873696271751849, 0.022512084663898316, -0.07932014067499142, -0.07824918659368776, -0.16806518843502932, 0.17777601662663006, 0.23915946308199704, 0.050659922768695735, 0.14313617726471625, -0.42075648004153987, -0.09973201292725105, 0.1492255899071131, 0.1745237098690474, 0.056766297879084104, -0.03067887501290314, -0.2710887685435701, 0.043643484665256624, -0.2550063252027305, -0.1337556259636328, -0.056140105468484594, 0.039339884821290395, -0.037658125939691124, -0.2185242529607044, 0.09233210440549366, 0.11823926012049306, 0.14333238663538447, -0.08092460685567755, -0.09069738130717767, -0.08767955490159539, 0.004154958806158799, -0.019574738898367253, -0.02128925993775, 0.10339058299531352, -0.13102070966577334, -0.2048634832619496, 0.3082490419301222, -0.09344228204199166, -0.24933081074565086, 0.12310822748245215, -0.23381328066143225, -0.20176765786589318, -0.017147375833032268, 0.17068883470909776, 0.16181681277933266, -0.12507514267246117, 0.24903211992712831, -0.0831669018129414, 0.05384154158275364, 0.01468698969901592, 0.06281949860869714, 0.16687084201125885, 0.13644367843022887, 0.04849540603068165, 0.14748622921629334, 0.056004663037557925, -0.08976236280967605, -0.404273371581199, -0.20697574292854318, -0.026817772620937454, 0.04922735803532151, -0.09938148337878717, -0.13284504743960668, 0.49910071752262564, 0.1919007364181112, 0.18118870546514132, 0.0936530148083309, 0.1962202910931324, 0.1636456095279669, 0.16623388640231118, -0.004744668719622324, 0.18318328419524543, 0.2729651448580454, 0.08509923630824559, -0.21999254039014285, -0.15856423204378137, 0.17734128744605016] |
708.4047 | An Approximate Solution of the Master Equation with the Dissipator being
a Set of Projectors | In this paper we consider a quantum open system and treat the master equation
with some restricted dissipator which consists of a set of projection operators
(projectors). The exact solution is given under the commutable approximation
(in our terminology). This is the first step for constructing a general
solution.
| quant-ph math-ph math.MP | in this paper we consider a quantum open system and treat the master equation with some restricted dissipator which consists of a set of projection operators projectors the exact solution is given under the commutable approximation in our terminology this is the first step for constructing a general solution | [['in', 'this', 'paper', 'we', 'consider', 'a', 'quantum', 'open', 'system', 'and', 'treat', 'the', 'master', 'equation', 'with', 'some', 'restricted', 'dissipator', 'which', 'consists', 'of', 'a', 'set', 'of', 'projection', 'operators', 'projectors', 'the', 'exact', 'solution', 'is', 'given', 'under', 'the', 'commutable', 'approximation', 'in', 'our', 'terminology', 'this', 'is', 'the', 'first', 'step', 'for', 'constructing', 'a', 'general', 'solution']] | [-0.13613695499240136, 0.029941347313626687, -0.06840128558022636, 0.01574272377302452, -0.026087512019831612, -0.12239678474903411, 0.04788910169201922, 0.27579789890014395, -0.27003551932165815, -0.21121670271517062, 0.12417262476602835, -0.2634002079008793, -0.14709262748971125, 0.1514432483295701, -0.0642051939111279, 0.08098614561770644, 0.10015693409558461, 0.04513637232594192, -0.09164677562230096, -0.22547842045932323, 0.3874947703918632, -0.03640198330537473, 0.2142725491288061, 0.0010991418408705111, 0.1560913142748177, 0.021997417014434327, 0.0018480194314401976, -0.007283559064285791, -0.11479864284700277, 0.14088413518454349, 0.26160712464123353, 0.11790445779583283, 0.3268844989337483, -0.3919161951207385, -0.1586021350682428, 0.085150514501242, 0.12158995355498425, 0.18472132821120701, -0.052597972697445323, -0.27320232914228526, 0.057903384224378636, -0.1476124656215614, -0.1774870033318899, -0.06763510970512823, 0.006403874301788758, -0.015689090787604148, -0.2902586124457267, 0.03577198094821402, 0.08903299733920365, -0.007421033646987409, -0.11384083534952025, -0.05495524665397801, 0.12611639874093994, 0.0955174521980237, -0.053851020239692717, 0.05998415942779001, 0.02994437989949876, -0.0958634623972585, -0.07675259111791241, 0.4032448343742563, -0.0469716770755013, -0.3131013370442147, 0.10853158878352569, -0.10115540996954149, -0.15872856814946448, 0.03830392852577628, 0.10736180364857523, 0.18571127327729245, -0.22593807632920845, 0.17888402425546238, -0.09911460833795065, 0.11142610426640556, 0.0697998808012629, 0.0003572768515108952, 0.11902972115607628, 0.18078916065622957, 0.11016547196183582, 0.19090892507561616, 0.020078974129746154, -0.13675832603963053, -0.3733121730691316, -0.18985406163728283, -0.1783374673401823, 0.09018857946277273, -0.04108396191500384, -0.20989578395929873, 0.4420917021984957, 0.14554881452753834, 0.1727448310893105, 0.060177187760816694, 0.28135286541465593, 0.21704598071739048, 0.00595453609617389, 0.09783712785919102, 0.16308215255575845, 0.12814390190820002, 0.05037794292581325, -0.20894149626244088, 0.01666907910067512, 0.14590680473769196] |
708.4048 | Further insight into gravitational recoil | We test the accuracy of our recently proposed empirical formula to model the
recoil velocity imparted to the merger remnant of spinning, unequal-mass
black-hole binaries. We study three families of black-hole binary
configurations, all with mass ratio q=3/8 (to maximize the unequal-mass
contribution to the kick) and spins aligned (or counter aligned) with the
orbital angular momentum, two with spin configurations chosen to minimize the
spin-induced tangential and radial accelerations of the trajectories
respectively, and a third family where the trajectories are significantly
altered by spin-orbit coupling. We find good agreement between the measured and
predicted recoil velocities for the first two families, and reasonable
agreement for the third. We also re-examine our original generic binary
configuration that led to the discovery of extremely large spin-driven recoil
velocities and inspired our empirical formula, and find reasonable agreement
between the predicted and measured recoil speeds.
| gr-qc astro-ph | we test the accuracy of our recently proposed empirical formula to model the recoil velocity imparted to the merger remnant of spinning unequalmass blackhole binaries we study three families of blackhole binary configurations all with mass ratio q38 to maximize the unequalmass contribution to the kick and spins aligned or counter aligned with the orbital angular momentum two with spin configurations chosen to minimize the spininduced tangential and radial accelerations of the trajectories respectively and a third family where the trajectories are significantly altered by spinorbit coupling we find good agreement between the measured and predicted recoil velocities for the first two families and reasonable agreement for the third we also reexamine our original generic binary configuration that led to the discovery of extremely large spindriven recoil velocities and inspired our empirical formula and find reasonable agreement between the predicted and measured recoil speeds | [['we', 'test', 'the', 'accuracy', 'of', 'our', 'recently', 'proposed', 'empirical', 'formula', 'to', 'model', 'the', 'recoil', 'velocity', 'imparted', 'to', 'the', 'merger', 'remnant', 'of', 'spinning', 'unequalmass', 'blackhole', 'binaries', 'we', 'study', 'three', 'families', 'of', 'blackhole', 'binary', 'configurations', 'all', 'with', 'mass', 'ratio', 'q38', 'to', 'maximize', 'the', 'unequalmass', 'contribution', 'to', 'the', 'kick', 'and', 'spins', 'aligned', 'or', 'counter', 'aligned', 'with', 'the', 'orbital', 'angular', 'momentum', 'two', 'with', 'spin', 'configurations', 'chosen', 'to', 'minimize', 'the', 'spininduced', 'tangential', 'and', 'radial', 'accelerations', 'of', 'the', 'trajectories', 'respectively', 'and', 'a', 'third', 'family', 'where', 'the', 'trajectories', 'are', 'significantly', 'altered', 'by', 'spinorbit', 'coupling', 'we', 'find', 'good', 'agreement', 'between', 'the', 'measured', 'and', 'predicted', 'recoil', 'velocities', 'for', 'the', 'first', 'two', 'families', 'and', 'reasonable', 'agreement', 'for', 'the', 'third', 'we', 'also', 'reexamine', 'our', 'original', 'generic', 'binary', 'configuration', 'that', 'led', 'to', 'the', 'discovery', 'of', 'extremely', 'large', 'spindriven', 'recoil', 'velocities', 'and', 'inspired', 'our', 'empirical', 'formula', 'and', 'find', 'reasonable', 'agreement', 'between', 'the', 'predicted', 'and', 'measured', 'recoil', 'speeds']] | [-0.15164744359855023, 0.13699349023065427, -0.0415503975269126, 0.08056600015455236, -0.0836535405057172, -0.0990968474587943, 0.029157651813066978, 0.37606557078995845, -0.180530022910615, -0.35389258847054506, -0.02835456666070968, -0.30344026802857926, -0.036132230454111576, 0.22337072934735464, 0.004874041905471434, 0.055003750222062484, 0.10839198147489999, 0.010579167503035732, -0.1256216752177958, -0.22079685416813138, 0.297455810951356, 0.07961779141462305, 0.216446085538741, -0.00650500272685248, 0.14576243868214078, 0.011092678013180072, -0.001320271713969608, 0.02967133883955992, -0.16433995508633517, 0.09371532512078476, 0.17280430321180676, 0.054284822803715035, 0.14436066541303363, -0.34585461845724946, -0.1231434405199252, 0.08490834891078218, 0.13082757896740482, 0.14641627117655137, -0.08102993126016776, -0.27187729142638595, 0.052918705196740724, -0.27155886132903917, -0.1834754597738437, -0.07260463014891785, 0.0623040826111618, 0.05840091085054963, -0.2610812908064367, 0.10274782744959844, 0.049960334047985576, -0.0240245140707379, -0.11523948070114581, -0.1356756349527536, -0.07622767172708539, 0.08540004813079981, 0.12790936071946313, 0.06314363036492271, 0.11069146702195415, -0.05299673477485259, -0.10634352276651447, 0.38191731665534057, -0.05624190953353213, -0.16501140458664545, 0.19440026398256627, -0.22210073729850896, -0.10278498818580475, 0.13535280453005624, 0.18479690468262155, 0.12437267035905582, -0.12925708670971087, -0.05963565705719197, 0.01671768489500715, 0.1754671441449318, 0.11328136103758071, 0.020417542082264442, 0.3012259418222432, 0.08076741498492386, -0.02943680511412418, 0.10106803428950822, -0.1777402969956812, -0.12688628392384593, -0.24036625478442553, -0.09111098584900093, -0.16746895072800624, 0.0276797456495438, -0.12487817742334704, -0.10163848689343366, 0.34271957543872605, 0.14408834819753086, 0.2466629346082401, 0.08028471689128007, 0.30284884988537264, 0.05712637415086243, 0.04446027050006604, 0.09134967606385341, 0.36172176345846513, 0.1579344669246186, 0.04483103909458603, -0.308777028934047, 0.04930086850961541, 0.01333643839138353] |
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