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Quantum metastability in a class of moving potentials

Chung-Chieh Lee·Choon-Lin Ho
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Abstract

In this paper we consider quantum metastability in a class of moving potentials introduced by Berry and Klein. Potential in this class has its height and width scaled in a specific way so that it can be transformed into a stationary one. In deriving the non-decay probability of the system, we argue that the appropriate technique to use is the less known method of scattering states. This method is illustrated through two examples, namely, a moving delta-potential and a moving barrier potential. For expanding potentials, one finds that a small but finite non-decay probability persists at large times. Generalization to scaling potentials of arbitrary shape is briefly indicated.

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Chung-Chieh Lee, Choon-Lin Ho. 2004-04-27. Quantum metastability in a class of moving potentials. https://doi.org/10.1103/physreva.65.022111

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