Quantum metastability in a class of moving potentials

Details Quantum metastability in a class of moving potentials Quantum metastability in a class of moving potentials

2004-04-27

arxiv.org/abs/quant-ph/0404149v1

PRA65, 022111 (2002)

Physics

Quantum Physics

10 pages, 1 figures

Scientific paper

10.1103/PhysRevA.65.022111

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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