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Exact Pair Production Rate for a Smooth Potential Step

High Energy Physics - Theory 2009-09-24 v2

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.

Cite

@article{arxiv.0906.1422,
  title  = {Exact Pair Production Rate for a Smooth Potential Step},
  author = {A. Chervyakov and H. Kleinert},
  journal= {arXiv preprint arXiv:0906.1422},
  year   = {2009}
}

Comments

Removed the labels and improved the paper

R2 v1 2026-06-21T13:10:43.872Z