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On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime
arXiv
Authors: Michael K. -H. Kiessling, Eric Ling, A. Shadi Tahvildar-Zadeh
Year
2021
Paper ID
41111
Status
Preprint
Abstract Read
~2 min
Abstract Words
91
Citations
N/A
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 (zGKN), under some restrictions on the electrical coupling constant and on the radius of the ring-singularity of the zGKN 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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- 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 (zGKN), under...
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