Exponential decay and resonances in a driven system
classification
🧮 math.SP
keywords
resonancestimeperturbationsapproachbehaviorcattaneocharacterizedcombined
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We study the resonance phenomena for time periodic perturbations of a Hamiltonian $H$ on the Hilbert space $L^2(\mathbb R ^d)$. 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.
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