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Periodic-Orbit Theory of Level Correlations | | Stefan Heusler
; Sebastian Müller
; Alexander Altland
; Petr Braun
; Fritz Haake
; | | Date: |
20 Oct 2006 | | Subject: | Chaotic Dynamics | | Abstract: | We 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. | | Source: | arXiv, nlin/0610053 | | Services: | Forum | Review | PDF | Favorites | |
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