Quantum mechanical time-delay matrix in chaotic scattering
chao-dyn
2008-02-03 v1 Mesoscale and Nanoscale Physics
Chaotic Dynamics
Abstract
We calculate the probability distribution of the matrix Q = -i \hbar S^{-1} dS/dE for a chaotic system with scattering matrix S at energy E. The eigenvalues \tau_j of Q are the so-called proper delay times, introduced by E. P. Wigner and F. T. Smith to describe the time-dependence of a scattering process. The distribution of the inverse delay times turns out to be given by the Laguerre ensemble from random-matrix theory.
Cite
@article{arxiv.chao-dyn/9705015,
title = {Quantum mechanical time-delay matrix in chaotic scattering},
author = {P. W. Brouwer and K. M. Frahm and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:chao-dyn/9705015},
year = {2008}
}
Comments
4 pages, RevTeX; to appear in Phys. Rev. Lett