Quantum time-delay in chaotic scattering: a semiclassical approach
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
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.
Cite
@article{arxiv.chao-dyn/9709017,
title = {Quantum time-delay in chaotic scattering: a semiclassical approach},
author = {R. O. Vallejos and A. M. Ozorio de Almeida and C. H. Lewenkopf},
journal= {arXiv preprint arXiv:chao-dyn/9709017},
year = {2009}
}
Comments
13 latex pages, 3 ps figures. Submitted to Journal of Physics A