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

Dmitry V. Savin·Yan V. Fyodorov·Hans-Juergen Sommers
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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.

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Dmitry V. Savin, Yan V. Fyodorov, Hans-Juergen Sommers. 2001-01-30. Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem. https://doi.org/10.1103/physreve.63.035202

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