dorsal/arxiv
View SchemaQuantum metastability in a class of moving potentials
| Authors | Chung-Chieh Lee, Choon-Lin Ho |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404149 |
| URL | https://arxiv.org/abs/quant-ph/0404149 |
| DOI | 10.1103/PhysRevA.65.022111 |
| Journal | PRA65, 022111 (2002) |
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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"abstract": "In this paper we consider quantum metastability in a class of moving\npotentials introduced by Berry and Klein. Potential in this class has its\nheight and width scaled in a specific way so that it can be transformed into a\nstationary one. In deriving the non-decay probability of the system, we argue\nthat the appropriate technique to use is the less known method of scattering\nstates. This method is illustrated through two examples, namely, a moving\ndelta-potential and a moving barrier potential. For expanding potentials, one\nfinds that a small but finite non-decay probability persists at large times.\nGeneralization to scaling potentials of arbitrary shape is briefly indicated.",
"arxiv_id": "quant-ph/0404149",
"authors": [
"Chung-Chieh Lee",
"Choon-Lin Ho"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.022111",
"journal_ref": "PRA65, 022111 (2002)",
"title": "Quantum metastability in a class of moving potentials",
"url": "https://arxiv.org/abs/quant-ph/0404149"
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