Periodic-Orbit Theory of Level Correlations

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dc.creatorHeusler, Stefan
dc.creatorMüller, Sebastian
dc.creatorAltland, Alexander
dc.creatorBraun, Petr
dc.creatorHaake, Fritz
dc.date2006-10-20
dc.date.accessioned2026-07-07T07:42:53Z
dc.date.available2026-07-07T07:42:53Z
dc.descriptionWe present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work with a generating function whose semiclassical limit is determined by quadruplets of sets of periodic orbits. The asymptotic expansions of both the non-oscillatory and the oscillatory part of the universal spectral correlator are obtained. Borel summation of the series reproduces the exact correlator of random-matrix theory.
dc.description4 pages, 1 figure (+ web-only appendix with 2 pages, 1 figure)
dc.identifierhttps://arxiv.org/abs/nlin/0610053
dc.identifierhttp://arxiv.org/abs/nlin/0610053
dc.identifierPhys. Rev. Lett. 98, 044103 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.044103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122617
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.titlePeriodic-Orbit Theory of Level Correlations
dc.typetext

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