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 -