Distribution of proper delay times in quantum chaotic scattering: A crossover from ideal to weak coupling
Disordered Systems and Neural Networks
2007-05-23 v2 Mesoscale and Nanoscale Physics
Chaotic Dynamics
Abstract
The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of scattering channels as well as arbitrary coupling to the energy continuum. The case of statistically equivalent channels is studied in detail. In particular, the semiclassical limit of infinite number of weak channels is paid appreciable attention.
Keywords
Cite
@article{arxiv.cond-mat/0105164,
title = {Distribution of proper delay times in quantum chaotic scattering: A crossover from ideal to weak coupling},
author = {Hans-Juergen Sommers and Dmitry V. Savin and Valentin V. Sokolov},
journal= {arXiv preprint arXiv:cond-mat/0105164},
year = {2007}
}
Comments
4 pages, 2 figures; ref.[14] added, PRL version