arXiv:math-ph/9905015 · Journal of Mathematical Physics

Ionization of a model atom by perturbations of the potential

A. Rokhlenko, Joel L. Lebowitz

Published Jun 1, 2000• 10 citations

Abstract

We study the time evolution of the wave function of a particle bound by an attractive δ-function potential when it is subjected to time-dependent variations of the binding strength (parametric excitation). The simplicity of this model permits certain nonperturbative calculations to be carried out analytically both in one and three dimensions. Thus the survival probability of bound state |θ(t)|2, following a pulse of strength r and duration t, behaves as |θ(t)|2−|θ(∞)|2∼t−α, with both θ(∞) and α depending on r. On the other hand, a sequence of short pulses produces an exponential decay over an intermediate time scale.

DOI: 10.1063/1.533320

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