Fermion Pair Production From an Electric Field Varying in Two Dimensions
Nuclear Theory
2009-10-28 v1 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.nucl-th/9506022,
title = {Fermion Pair Production From an Electric Field Varying in Two Dimensions},
author = {J. E. Seger and A. B. Balantekin},
journal= {arXiv preprint arXiv:nucl-th/9506022},
year = {2009}
}
Comments
Latex, 14 pages of text. Full postscript version available via the worldwide web at http://nucth.physics.wisc.edu/ or by anonymous ftp from ftp://nucth.physics.wisc.edu:/pub/preprints/