Two-point correlations of the Gaussian symplectic ensemble from periodic orbits
arXiv:nlin/0009041 · doi:10.1088/0305-4470/33/50/102
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.
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