arXiv:quant-ph/0611043

Nonexponential decay via tunneling to a continuum of finite width

Eugene Kogan

Published Jan 1, 2007• 0 citations

Abstract

A simple quantum mechanical model consisting of a discrete level resonantly coupled to a continuum of finite width, where the coupling can be varied from perturbative to strong, is considered. The particle is initially localized at the discrete level, and the time dependence of the amplitude to find the particle at the discrete level is calculated without resorting to perturbation theory and using only elementary methods. A simple and convenient, both for qualitative analysis and for numerical calculations, formula for the amplitude as a function of time is obtained.

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