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 | |
| State | Published - Jan 1 1996 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Fingerprint Dive into the research topics of 'Fermion pair production from an electric field varying in two dimensions'. Together they form a unique fingerprint.
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