dorsal/arxiv
View SchemaFermion Pair Production From an Electric Field Varying in Two Dimensions
| Authors | J. E. Seger, A. B. Balantekin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9506022 |
| URL | https://arxiv.org/abs/nucl-th/9506022 |
| DOI | 10.1063/1.531385 |
| Journal | J.Math.Phys. 37 (1996) 219-226 |
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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"abstract": "The Hamiltonian describing fermion pair production from an arbitrarily\ntime-varying electric field in two dimensions is studied using a\ngroup-theoretic approach. We show that this Hamiltonian can be encompassed by\ntwo, commuting SU(2) algebras, and that the two-dimensional problem can\ntherefore be reduced to two one-dimensional problems. We compare the group\nstructure for the two-dimensional problem with that previously derived for the\none-dimensional problem, and verify that the Schwinger result is obtained under\nthe appropriate conditions.",
"arxiv_id": "nucl-th/9506022",
"authors": [
"J. E. Seger",
"A. B. Balantekin"
],
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],
"doi": "10.1063/1.531385",
"journal_ref": "J.Math.Phys. 37 (1996) 219-226",
"title": "Fermion Pair Production From an Electric Field Varying in Two Dimensions",
"url": "https://arxiv.org/abs/nucl-th/9506022"
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