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

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

2000-11-08

arxiv.org/abs/cond-mat/0011141v2

Phys.Rev.E63:035202,2001

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, revtex, no figures; published version

Scientific paper

10.1103/PhysRevE.63.035202

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.

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