Stability Estimate in Scattering Theory and Its Application to Mesoscopic Systems and Quantum Chaos
chao-dyn
2009-10-22 v1 Chaotic Dynamics
Abstract
We consider scattering of a free quantum particle on a singular potential with rather arbitrary shape of the support of the potential. In the classical limit this problem reduces to the well known problem of chaotic scattering. The universal estimates for the stability of the scattering amplitudes are derived. The application of the obtained results to the mesoscopic systems and quantum chaos are discussed. We also discuss a possibility of experimental verification of the obtained results.
Cite
@article{arxiv.chao-dyn/9401006,
title = {Stability Estimate in Scattering Theory and Its Application to Mesoscopic Systems and Quantum Chaos},
author = {Alexander G. Ramm and Gennady P. Berman},
journal= {arXiv preprint arXiv:chao-dyn/9401006},
year = {2009}
}
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