From open quantum systems to open quantum maps

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 Poincare map associated with the flow near the set of trapped trajectories.


Year:
2010
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 Record created 2012-03-13, last modified 2018-03-17

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