English

Exponential decay and resonances in a driven system

Spectral Theory 2013-05-29 v4

Abstract

We study the resonance phenomena for time periodic perturbations of a Hamiltonian HH on the Hilbert space L2(Rd)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.

Keywords

Cite

@article{arxiv.1202.2027,
  title  = {Exponential decay and resonances in a driven system},
  author = {Philippe Briet and Claudio Fernandez},
  journal= {arXiv preprint arXiv:1202.2027},
  year   = {2013}
}

Comments

16 pages

R2 v1 2026-06-21T20:17:12.611Z