Exact Results for Ionization of Model Atomic Systems
Atomic Physics
2007-08-07 v1
Abstract
We present rigorous results for quantum systems with both bound and continuum states subjected to an arbitrary strength time-periodic field. We prove that the wave function takes the form of a sum of time-periodic resonant states with complex quasi-energies and dispersive part of the the solution given by a power series in t^{-1/2}. Generally, the imaginary part of each resonance is negative, leading to ionization of the atom, but we also give examples where the ionization rate is zero implying the existence of a time-periodic Floquet bound state. The complex quasi-energy has a convergent perturbation expansion for small field strengths.
Cite
@article{arxiv.0708.0635,
title = {Exact Results for Ionization of Model Atomic Systems},
author = {O. Costin and J. L. Lebowitz and C. Stucchio and S. Tanveer},
journal= {arXiv preprint arXiv:0708.0635},
year = {2007}
}