Semiclassical expansion of parametric correlation functions of the quantum time delay

Details Semiclassical expansion of parametric correlation functions of the quantum time delay Semiclassical expansion of parametric correlation functions of the quantum time delay

2006-08-24

arxiv.org/abs/nlin/0608059v1

Nonlinearity 20 (2007) 909

Nonlinear Sciences

Chaotic Dynamics

21 pages, no figures

Scientific paper

10.1088/0951-7715/20/4/006

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.

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