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Semiclassical expansion of parametric correlation functions of the quantum time delay

Jack Kuipers·Martin Sieber
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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 $K(τ,x,y,M)$, 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 $τ=0$, which depend on all parameters, are shown to be identical to those obtained from Random Matrix Theory.

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Jack Kuipers, Martin Sieber. 2006-08-24. Semiclassical expansion of parametric correlation functions of the quantum time delay. https://doi.org/10.1088/0951-7715%2F20%2F4%2F006

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