Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians
Mathematical Physics
2007-11-06 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0711.0593,
title = {Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians},
author = {Cesar R. de Oliveira and Mariza S. Simsen},
journal= {arXiv preprint arXiv:0711.0593},
year = {2007}
}
Comments
Reports Math Phys; 18 pages