On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866910804967686144 |
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| author | Kiessling, Michael K. -H. Ling, Eric Tahvildar-Zadeh, A. Shadi |
| author_facet | Kiessling, Michael K. -H. Ling, Eric Tahvildar-Zadeh, A. Shadi |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2112_00073 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime Kiessling, Michael K. -H. Ling, Eric Tahvildar-Zadeh, A. Shadi Mathematical Physics General Relativity and Quantum Cosmology Analysis of PDEs Dynamical Systems Quantum Physics 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. |
| title | On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime |
| topic | Mathematical Physics General Relativity and Quantum Cosmology Analysis of PDEs Dynamical Systems Quantum Physics |
| url | https://arxiv.org/abs/2112.00073 |