Spectral problems in open quantum chaos

Details Spectral problems in open quantum chaos Spectral problems in open quantum chaos

2011-05-12

arxiv.org/abs/1105.2457v3

Nonlinearity 24 (2011) R123-R167

Physics

Mathematical Physics

Compared with the previous version, misprints and typos have been corrected, and the bibliography updated

Scientific paper

10.1088/0951-7715/24/12/R02

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.

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