Decay of a Bound State under a Time-Periodic Perturbation: a Toy Case
Mathematical Physics
2007-05-23 v2 math.MP
Quantum Physics
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'' (\alpha(t)). Under very weak generic conditions on the Fourier coefficients of (\alpha(t)), we prove complete ionization as (t \to \infty). We prove also that, under the same conditions, all the states of the system are scattering states.
Keywords
Cite
@article{arxiv.math-ph/0408003,
title = {Decay of a Bound State under a Time-Periodic Perturbation: a Toy Case},
author = {Michele Correggi and Gianfausto Dell'Antonio},
journal= {arXiv preprint arXiv:math-ph/0408003},
year = {2007}
}
Comments
LaTeX2e, 15 pages