Almost Periodic Orbits and Stability for Quantum TimeDependent Hamiltonians
Abstract
We study almost periodic orbits of quantum systems and prove that for periodic timedependent Hamiltonians an orbit is almost periodic if, and only if, it is precompact. In the case of quasiperiodic timedependence 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.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.0593
 Bibcode:
 2007arXiv0711.0593D
 Keywords:

 Mathematical Physics;
 81Q10;
 11B;
 47B99
 EPrint:
 Reports Math Phys