Semiclassical cross section correlations

Details Semiclassical cross section correlations Semiclassical cross section correlations

2000-08-17

arxiv.org/abs/nlin/0008021v1

Phys. Rev. E 62, 7867 (2000)

Nonlinear Sciences

Chaotic Dynamics

6 pages, 2 figures

Scientific paper

10.1103/PhysRevE.62.7867

We calculate within a semiclassical approximation the autocorrelation function of cross sections. The starting point is the semiclassical expression for the diagonal matrix elements of an operator. For general operators with a smooth classical limit the autocorrelation function of such matrix elements has two contributions with relative weights determined by classical dynamics. We show how the random matrix result can be obtained if the operator approaches a projector onto a single initial state. The expressions are verified in calculations for the kicked rotor.

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