Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians

Details Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians

2007-11-05

arxiv.org/abs/0711.0593v1

Physics

Mathematical Physics

Reports Math Phys; 18 pages

Scientific paper

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.

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