Semiclassical expansion of parametric correlation functions of the quantum time delay

Abstract

We derive semiclassical periodic orbit expansions for a correlation function of the Wigner time delay. We consider the Fourier transform of the two-point correlation function, the form factor $K(\tau ,x,y,M)$, that depends on the number of open channels $M$, a non-symmetry breaking parameter $x$, and a symmetry breaking parameter $y$. Several terms in the Taylor expansion about $\tau =0$, which depend on all parameters, are shown to be identical to those obtained from Random Matrix Theory.

21 pages, no figures

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