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arXiv · 1004.3361

From open quantum systems to open quantum maps

Stéphane Nonnenmacher·Johannes Sjoestrand·Maciej Zworski
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Abstract

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

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Stéphane Nonnenmacher, Johannes Sjoestrand, Maciej Zworski. 2011-02-28. From open quantum systems to open quantum maps. https://doi.org/10.1007/s00220-011-1214-0

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