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math-ph2007
Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians
Cesar R. de Oliveira, Mariza S. Simsen
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 cas…
math-ph2007
A Floquet Operator with Pure Point Spectrum and Energy Instability
Cesar R. de Oliveira, Mariza S. Simsen
An example of Floquet operator with purely point spectrum and energy instability is presented. In the unperturbed energy eigenbasis its eigenfunctions are exponentially localized.