Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians

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We study almost periodic orbits of quantum systems and prove that for periodic time-dependent Hamiltonians an orbit is almost periodic if, and only if, it is precompact. In the case of quasiperiodic time-dependence we present an example of a precompact orbit that is not almost periodic. Finally we discuss some simple conditions assuring dynamical stability for nonautonomous quantum system.
Reports Math Phys; 18 pages

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Mathematical Physics, 81Q10; 11B; 47B99

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http://salesiana.dossiersoluciones.com/handle/123456789/141440

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.0593
 http://arxiv.org/abs/0711.0593

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arXiv