Fermion pair production from an electric field varying in two dimensions

Janet E. Seger, A. B. Balantekin

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

Fingerprint

pair production
Fermions
Electric Field
Two Dimensions
fermions
electric fields
algebra
Time-varying
Verify
Algebra

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Fermion pair production from an electric field varying in two dimensions. / Seger, Janet E.; Balantekin, A. B.

In: Journal of Mathematical Physics, Vol. 37, No. 1, 01.1996, p. 219-226.

Research output: Contribution to journalArticle

@article{8875b5bcc91f46d19729dfd140748ac4,
title = "Fermion pair production from an electric field varying in two dimensions",
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.",
author = "Seger, {Janet E.} and Balantekin, {A. B.}",
year = "1996",
month = "1",
doi = "10.1063/1.531385",
language = "English",
volume = "37",
pages = "219--226",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "1",

}

TY - JOUR

T1 - Fermion pair production from an electric field varying in two dimensions

AU - Seger, Janet E.

AU - Balantekin, A. B.

PY - 1996/1

Y1 - 1996/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030556168&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030556168&partnerID=8YFLogxK

U2 - 10.1063/1.531385

DO - 10.1063/1.531385

M3 - Article

VL - 37

SP - 219

EP - 226

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -