Quantum time-delay in chaotic scattering: a semiclassical approach

Details Quantum time-delay in chaotic scattering: a semiclassical approach Quantum time-delay in chaotic scattering: a semiclassical approach

1997-09-12

arxiv.org/abs/chao-dyn/9709017v1

Nonlinear Sciences

Chaotic Dynamics

13 latex pages, 3 ps figures. Submitted to Journal of Physics A

Scientific paper

10.1088/0305-4470/31/21/007

We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of the quantum time delay to properties of the set of trapped periodic orbits in the repeller. As an application, we calculate the energy correlator in the crossover regime between preserved and fully broken time reversal symmetry. We discuss the range of validity of our results and compare them with the predictions of random matrix theories.

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