Decay of discrete state resonantly coupled to a continuum of finite width

Details Decay of discrete state resonantly coupled to a continuum of finite width Decay of discrete state resonantly coupled to a continuum of finite width

2006-09-03

arxiv.org/abs/quant-ph/0609011v5

Physics

Quantum Physics

5 pages, 6 eps figures, revtex

Scientific paper

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. The deviations from the exponential decay law, predicted by the Fermi's Golden Rule, are discussed.

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