From open quantum systems to open quantum maps - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematical Physics Année : 2011

From open quantum systems to open quantum maps

Résumé

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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Dates et versions

hal-00474392 , version 1 (19-04-2010)
hal-00474392 , version 2 (28-02-2011)

Identifiants

Citer

Stéphane Nonnenmacher, Johannes Sjoestrand, Maciej Zworski. From open quantum systems to open quantum maps. Communications in Mathematical Physics, 2011, 304 (1), pp.1-48. ⟨10.1007/s00220-011-1214-0⟩. ⟨hal-00474392v2⟩
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