TY - JOUR

T1 - The dirac point electron in zero-gravity kerr-newman spacetime

AU - Kiessling, M. K.H.

AU - Tahvildar-Zadeh, A. S.

N1 - Publisher Copyright: © 2015 AIP Publishing LLC.

PY - 2015/4/28

Y1 - 2015/4/28

N2 - Dirac's wave equation for a point electron in the topologically nontrivial maximal analytically extended electromagnetic Kerr-Newman spacetime is studied in a limit 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 and 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. The symmetry result extends to the Dirac operator on a generalization of the zero-G Kerr-Newman spacetime with different electric-monopole/magnetic-dipole-moment ratios.

AB - Dirac's wave equation for a point electron in the topologically nontrivial maximal analytically extended electromagnetic Kerr-Newman spacetime is studied in a limit 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 and 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. The symmetry result extends to the Dirac operator on a generalization of the zero-G Kerr-Newman spacetime with different electric-monopole/magnetic-dipole-moment ratios.

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U2 - https://doi.org/10.1063/1.4918361

DO - https://doi.org/10.1063/1.4918361

M3 - Article

SN - 0022-2488

VL - 56

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

M1 - 042303

ER -