Cesar R. de Oliveira, Mariza S. Simsen
Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians
(354K, PDF)

ABSTRACT.   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.