Periodic-orbit theory of level correlations.
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.
Heusler
Stefan
S
Fachbereich Physik, Universität Duisburg-Essen, 47048 Duisburg, Germany.
Müller
Sebastian
S
Altland
Alexander
A
Braun
Petr
P
Haake
Fritz
F