Quantum mechanical time-delay matrix in chaotic scattering

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We calculate the probability distribution of the matrix Q = -i \hbar S^{-1} dS/dE for a chaotic system with scattering matrix S at energy E. The eigenvalues τ_j of Q are the so-called proper delay times, introduced by E. P. Wigner and F. T. Smith to describe the time-dependence of a scattering process. The distribution of the inverse delay times turns out to be given by the Laguerre ensemble from random-matrix theory.
4 pages, RevTeX; to appear in Phys. Rev. Lett

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Chaotic Dynamics, Mesoscale and Nanoscale Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/150592

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/chao-dyn/9705015
 http://arxiv.org/abs/chao-dyn/9705015
 Phys. Rev. Lett. 78, 4737 (1997)
 doi:10.1103/PhysRevLett.78.4737

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