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arXiv · 0804.3317

A quantum decay model with exact explicit analytical solution

Avi Marchewka·Er'el Granot
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Abstract

A simple decay model is introduced. The model comprises of a point potential well, which experiences an abrupt change. Due to the temporal variation the initial quantum state can either escape from the well or stay localized as a new bound state. The model allows for an exact analytical solution while having the necessary features of a decay process. The results show that the decay is never exponential, as classical dynamics predicts. Moreover, at short times the decay has a \textit{fractional} power law, which differs from perturbation quantum methods predictions.

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Avi Marchewka, Er'el Granot. 2008-04-21. A quantum decay model with exact explicit analytical solution. https://doi.org/10.1103/physreva.79.012106

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