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 |
|---|---|
| Pages (from-to) | 219-226 |
| Number of pages | 8 |
| Journal | Journal of Mathematical Physics |
| Volume | 37 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1996 |
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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 journal › Article
}
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
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 -