Spectral problems in open quantum chaos
Mathematical Physics
2011-11-04 v3 Analysis of PDEs
Dynamical Systems
math.MP
Abstract
This review article will present some recent results and methods in the study of 1-particle quantum or wave scattering systems, in the semiclassical/high frequency limit, in cases where the corresponding classical/ray dynamics is chaotic. We will focus on the distribution of quantum resonances, and the structure of the corresponding metastable states. Our study includes the toy model of open quantum maps, as well as the recent quantum monodromy operator method.
Keywords
Cite
@article{arxiv.1105.2457,
title = {Spectral problems in open quantum chaos},
author = {Stéphane Nonnenmacher},
journal= {arXiv preprint arXiv:1105.2457},
year = {2011}
}
Comments
Compared with the previous version, misprints and typos have been corrected, and the bibliography updated