Exponential decay and resonances in a driven system

[摘要] We study the resonance phenomena for time periodic perturbations of a Hamiltonian H on the Hilbert space L-2 (R-d). Here, resonances are characterized in terms of time behavior of the survival probability. Our approach uses the Floquet-Howland formalism combined with the results of L. Cattaneo, J.M. Graf and W. Hunziker on resonances for time independent perturbations. (C) 2012 Elsevier Inc. All rights reserved.

[发布日期] 2012-12-15

[关键词] Time dependent perturbation;Schrodinger equation;Resonances