Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem
Disordered Systems and Neural Networks
2008-12-18 v2 Mesoscale and Nanoscale Physics
Chaotic Dynamics
Nuclear Theory
Abstract
We write explicitly a transformation of the scattering phases reducing the problem of quantum chaotic scattering for systems with M statistically equivalent channels at nonideal coupling to that for ideal coupling. Unfolding the phases by their local density leads to universality of their local fluctuations for large M. A relation between the partial time delays and diagonal matrix elements of the Wigner-Smith matrix is revealed for ideal coupling. This helped us in deriving the joint probability distribution of partial time delays and the distribution of the Wigner time delay.
Cite
@article{arxiv.cond-mat/0011141,
title = {Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem},
author = {Dmitry V. Savin and Yan V. Fyodorov and Hans-Juergen Sommers},
journal= {arXiv preprint arXiv:cond-mat/0011141},
year = {2008}
}
Comments
4 pages, revtex, no figures; published version