Exponential decay and resonances in a driven system

Details Exponential decay and resonances in a driven system Exponential decay and resonances in a driven system

2012-02-09

arxiv.org/abs/1202.2027v1

Mathematics

Spectral Theory

16 pages

Scientific paper

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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