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Spontaneous Fermion Production by a Supercritical Potential Well

A Calogeracos·N Dombey·K Imagawa
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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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A Calogeracos, N Dombey, K Imagawa. 1995-10-09. Spontaneous Fermion Production by a Supercritical Potential Well. https://arxiv.org/abs/quant-ph/9510009

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