DEA Thesis

Title: The Non-Recurrent Behavior in Quantum Dynamics: Quantum Rotator

by Firas Rassoul-Agha
Thesis advisor: Professor Stephan De Bièvre

We study the motion of the quantum rotator, i.e. of the Schrodinger operator with a periodically-time-dependent potential. We prove that the spectrum of the quasi-energy is, generally speaking, continuous when we have resonance. We also prove that, for a fixed choice of the potential, there is a large number of non-resonance cases for which the spectrum of the quasi-energy is continuous.