Exponential decay and resonances in a driven system

Philippe Briet; Claudio Fernandez

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arXiv · 1202.2027

Exponential decay and resonances in a driven system

Philippe Briet·Claudio Fernandez

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Abstract

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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Philippe Briet, Claudio Fernandez. 2013-05-28. Exponential decay and resonances in a driven system. https://arxiv.org/abs/1202.2027

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