Decay of a bound state under a time-periodic perturbation: a toy case
Decay of a bound state under a time-periodic perturbation: a toy case
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, …