From open quantum systems to open quantum maps

Details From open quantum systems to open quantum maps From open quantum systems to open quantum maps

2010-04-20

arxiv.org/abs/1004.3361v3

Mathematics

Analysis of PDEs

53 pages, 8 figures

Scientific paper

For a class of quantized open chaotic systems satisfying a natural dynamical
assumption, we show that the study of the resolvent, and hence of scattering
and resonances, can be reduced to the study of a family of open quantum maps,
that is of finite dimensional operators obtained by quantizing the Poincar\'e
map associated with the flow near the set of trapped trajectories.

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