|
|||||
|
|
From Open Quantum Systems to Open Quantum Maps |
|
| Authors: | St��phane Nonnenmacher Johannes Sj?strand Maciej Zworski |
| Affiliation: | 1. Institut de Physique Th??orique, CEA/DSM/PhT, Unit?? de Recherche Associ??e au CNRS, CEA-Saclay, 91191, Gif-sur-Yvette, France 2. Institut de Math??matiques de Bourgogne, UFR Science et Techniques, 9 Avenue Alain Savary, B.P. 47870, 21078, Dijon Cedex, France 3. Mathematics Department, University of California, Evans Hall, Berkeley, CA, 94720, USA |
| 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. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |