Two-point correlations of the Gaussian symplectic ensemble from periodic orbits

Details Two-point correlations of the Gaussian symplectic ensemble from periodic orbits Two-point correlations of the Gaussian symplectic ensemble from periodic orbits

2000-09-20

arxiv.org/abs/nlin/0009041v1

J. Phys. A 33 (2000) L503-L507

Nonlinear Sciences

Chaotic Dynamics

7 pages, no figures

Scientific paper

10.1088/0305-4470/33/50/102

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.

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