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

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 1 1996

Fingerprint

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Cite this

Seger, J. E., & Balantekin, A. B. (1996). Fermion pair production from an electric field varying in two dimensions. Journal of Mathematical Physics, 37(1), 219-226. https://doi.org/10.1063/1.531385

@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, {J. E.} and Balantekin, {A. B.}",

year = "1996",

month = jan,

day = "1",

doi = "10.1063/1.531385",

language = "English (US)",

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, J. E.

AU - Balantekin, A. B.

PY - 1996/1/1

Y1 - 1996/1/1

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

AN - SCOPUS:0030556168

VL - 37

SP - 219

EP - 226

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -

Access to Document

10.1063/1.531385