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The Dirac point electron in zero-gravity Kerr--Newman spacetime

arXiv
Authors: M. K. -H. Kiessling, A. S. Tahvildar-Zadeh

Year

2014

Paper ID

47204

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

Dirac's wave equation for a point electron in the topologically nontrivial maximal analytically extended electromagnetic Kerr--Newman spacetime is studied in a zero-gravity limit; here, "zero-gravity" means G→ 0, where G is Newton's constant of universal gravitation. The following results are obtained: the formal Dirac Hamiltonian on the static spacelike slices is essentially self-adjoint; the spectrum of the self-adjoint extension is symmetric about zero, featuring a continuum with a gap about zero that, under two smallness conditions, contains a point spectrum. Some of our results extend to a generalization of the zero-G Kerr--Newman spacetime with different electric-monopole-to-magnetic-dipole-moment ratio.

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