vix.ing · top · new · best · stats · spec

Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem

2000/11/30 by Dmitry V. Savin, Yan V. Fyodorov, Hans-Juergen Sommers · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.mes-hall #nlin.CD #nucl-th

paper · pdf · doi:10.1103/physreve.63.035202

published as Phys.Rev.E63:035202,2001 · 4 pages, revtex, no figures; published version

arxiv created 2001/01/30 · arxiv updated 2009/11/30

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.

Cited by