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

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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.
4 pages, revtex, no figures; published version

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Disordered Systems and Neural Networks, Mesoscale and Nanoscale Physics, Chaotic Dynamics, Nuclear Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/211837

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0011141
 http://arxiv.org/abs/cond-mat/0011141
 Phys.Rev.E63:035202,2001
 doi:10.1103/PhysRevE.63.035202

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arXiv