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Fermion Pair Production From an Electric Field Varying in Two Dimensions

J. E. Seger·A. B. Balantekin
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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.

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J. E. Seger, A. B. Balantekin. 1995-06-26. Fermion Pair Production From an Electric Field Varying in Two Dimensions. https://doi.org/10.1063/1.531385

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