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 twodimensional 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. Address correspondence to J.E. Seger. E-mail: ∗jseger@creighton.edu or ∗∗baha@nucth.physics.wisc.edu PACS numbers: 03.65.Fd, 12.20.-m, 02.20.Hj, 11.15.Tk

Cite this paper

@inproceedings{Sger1995FermionPP, title={Fermion Pair Production From an Electric Field Varying in Two Dimensions}, author={Jeanine S{\'e}ger}, year={1995} }