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arXiv · 0906.1422

Exact Pair Production Rate for a Smooth Potential Step

A. Chervyakov·H. Kleinert
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Abstract

We derive the exact rate of pair production of oppositely charged scalar particles by a smooth potential proportional to tanh kz in three dimensions. As a check we recover from this the known results for an infinitely sharp step as well as for a uniform electric field.

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A. Chervyakov, H. Kleinert. 2009-06-18. Exact Pair Production Rate for a Smooth Potential Step. https://doi.org/10.1103/physrevd.80.065010

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