We study the time evolution of a three-dimensional quantum particle, initially in a bound state, under the action of a time-periodic zero range interaction with 'strength' α(t). Under very weak generic conditions on the Fourier coefficients of α(t), we prove complete ionization as t → ∞. We prove also that, under the same conditions, all the states of the system are scattering states. © 2005 IOP Publishing Ltd.
Decay of a bound state under a time-periodic perturbation: A toy case
Correggi M.;
2005-01-01
Abstract
We study the time evolution of a three-dimensional quantum particle, initially in a bound state, under the action of a time-periodic zero range interaction with 'strength' α(t). Under very weak generic conditions on the Fourier coefficients of α(t), we prove complete ionization as t → ∞. We prove also that, under the same conditions, all the states of the system are scattering states. © 2005 IOP Publishing Ltd.File in questo prodotto:
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