Quantized open chaotic systems
Analysis of PDEs
2017-08-23 v2 Mathematical Physics
math.MP
Abstract
Two different "wave chaotic" systems, involving complex eigenvalues or resonances, can be analyzed using common semiclassical methods. In particular, one obtains fractal Weyl upper bounds for the density of resonances/eigenvalues near the real axis, and a classical dynamical criterion for a spectral gap.
Cite
@article{arxiv.1011.2557,
title = {Quantized open chaotic systems},
author = {Stéphane Nonnenmacher},
journal= {arXiv preprint arXiv:1011.2557},
year = {2017}
}
Comments
Proceedings of the conference QMath 11; QMath 11, Hradec Kralove : Czech Republic (2010)