Exponential decay and resonances in a driven system
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Date
2012
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ACADEMIC PRESS INC ELSEVIER SCIENCE
Abstract
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.
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Keywords
Time dependent perturbation, Schrodinger equation, Resonances, SCATTERING-THEORY, TIME, HAMILTONIANS, OPERATORS, STATES