Periodic-orbit theory of level correlations

S Heusler, S Muller, A Altland, P Braun, F Haake

Research output: Contribution to journalArticle (Academic Journal)peer-review

133 Citations (Scopus)


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 nonoscillatory and the oscillatory part of the universal spectral correlator are obtained. Borel summation of the series reproduces the exact correlator of random-matrix theory.
Translated title of the contributionPeriodic-orbit theory of level correlations
Original languageEnglish
Article numberArticle no. 044103
Pages (from-to)1 - 4
Number of pages4
JournalPhysical Review Letters
Volume98 (4)
Publication statusPublished - Jan 2007

Bibliographical note

Publisher: American Physical Soc


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