Fermion Pair Production From an Electric Field Varying in Two Dimensions

Details Fermion Pair Production From an Electric Field Varying in Two Dimensions Fermion Pair Production From an Electric Field Varying in Two Dimensions

1995-06-26

arxiv.org/abs/nucl-th/9506022v1

J.Math.Phys. 37 (1996) 219-226

Physics

Nuclear Physics

Nuclear Theory

Latex, 14 pages of text. Full postscript version available via the worldwide web at http://nucth.physics.wisc.edu/ or by anony

Scientific paper

10.1063/1.531385

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.

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