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arXiv · 2112.00073

On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime

Michael K. -H. Kiessling·Eric Ling·A. Shadi Tahvildar-Zadeh
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Abstract

The discrete spectrum of the Dirac operator for a point electron in the maximal analytically extended Kerr--Newman spacetime is determined in the zero-$G$ limit (z$G$KN), under some restrictions on the electrical coupling constant and on the radius of the ring-singularity of the z$G$KN spacetime. The spectrum is characterized by a triplet of integers, associated with winding numbers of orbits of dynamical systems on cylinders. A dictionary is established that relates the spectrum with the known hydrogenic Dirac spectrum. Numerical illustrations are presented. Open problems are listed.

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Michael K. -H. Kiessling, Eric Ling, A. Shadi Tahvildar-Zadeh. 2021-11-30. On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime. https://doi.org/10.1063/5.0084471

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