On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime
arXiv:2112.00073 · doi:10.1063/5.0084471
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- limit (zKN), under some restrictions on the electrical coupling constant and on the radius of the ring-singularity of the zKN 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.
arXiv comment62 pages, 13 figures
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