dorsal/arxiv
View SchemaSpontaneous Fermion Production by a Supercritical Potential Well
| Authors | A Calogeracos, N Dombey, K Imagawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9510009 |
| URL | https://arxiv.org/abs/quant-ph/9510009 |
| Journal | Phys.Atom.Nucl. 59 (1996) 1275-1289; Yad.Fiz. 59 (1996) 1331-1344 |
Abstract
A second quantised theory of electrons and positrons in a deep time-dependent potential well is discussed. It is shown that positron production from the well is a natural consequence of Dirac's hole theory when the strength of the well becomes supercritical. A formalism is developed whereby the amplitude for emission of a positron of a given momentum can be calculated. The difference between positron production and electron-positron pair production is demonstrated. Considerations of the vacuum charge and of Levinson's theorem are required for a full description of the problem.
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"abstract": "A second quantised theory of electrons and positrons in a deep time-dependent\npotential well is discussed. It is shown that positron production from the well\nis a natural consequence of Dirac\u0027s hole theory when the strength of the well\nbecomes supercritical. A formalism is developed whereby the amplitude for\nemission of a positron of a given momentum can be calculated. The difference\nbetween positron production and electron-positron pair production is\ndemonstrated. Considerations of the vacuum charge and of Levinson\u0027s theorem are\nrequired for a full description of the problem.",
"arxiv_id": "quant-ph/9510009",
"authors": [
"A Calogeracos",
"N Dombey",
"K Imagawa"
],
"categories": [
"quant-ph"
],
"journal_ref": "Phys.Atom.Nucl. 59 (1996) 1275-1289; Yad.Fiz. 59 (1996) 1331-1344",
"title": "Spontaneous Fermion Production by a Supercritical Potential Well",
"url": "https://arxiv.org/abs/quant-ph/9510009"
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