Fermion pair production from an electric field varying in two dimensions

J. E. Seger, A. B. Balantekin

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)219-226
Number of pages8
JournalJournal of Mathematical Physics
Volume37
Issue number1
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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