Fermion pair production from an electric field varying in two dimensions

J. E. Seger; A. B. Balantekin

doi:10.1063/1.531385

Fermion pair production from an electric field varying in two dimensions

J. E. Seger, A. B. Balantekin

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The Hamiltonian describing fermion pair production from an arbitrarily time-varying electric field in two dimensions is studied using a group-theoretic approach. We show that this Hamiltonian can be encompassed by two, commuting SU(2) algebras, and that the two-dimensional problem can therefore be reduced to two one-dimensional problems. We compare the group structure for the two-dimensional problem with that previously derived for the one-dimensional problem, and verify that the Schwinger result is obtained under the appropriate conditions.

Original language	English (US)
Pages (from-to)	219-226
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	37
Issue number	1
DOIs	https://doi.org/10.1063/1.531385
State	Published - Jan 1996

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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Fermion pair production from an electric field varying in two dimensions

Abstract

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