Exact Results for Ionization of Model Atomic Systems

Details Exact Results for Ionization of Model Atomic Systems Exact Results for Ionization of Model Atomic Systems

2007-08-04

arxiv.org/abs/0708.0635v1

Physics

Atomic Physics

Scientific paper

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.

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