Two-point correlations of the Gaussian symplectic ensemble from periodic orbits
Chaotic Dynamics
2009-10-31 v1
Abstract
We determine the asymptotics of the two-point correlation function for quantum systems with half-integer spin which show chaotic behaviour in the classical limit using a method introduced by Bogomolny and Keating [Phys. Rev. Lett. 77 (1996) 1472-1475]. For time-reversal invariant systems we obtain the leading terms of the two-point correlation function of the Gaussian symplectic ensemble. Special attention has to be paid to the role of Kramers' degeneracy.
Keywords
Cite
@article{arxiv.nlin/0009041,
title = {Two-point correlations of the Gaussian symplectic ensemble from periodic orbits},
author = {Stefan Keppeler},
journal= {arXiv preprint arXiv:nlin/0009041},
year = {2009}
}
Comments
7 pages, no figures