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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.10824 |
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| _version_ | 1866909392879747072 |
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| author | Chanu, Claudia Maria Rastelli, Giovanni |
| author_facet | Chanu, Claudia Maria Rastelli, Giovanni |
| contents | We study the degeneracy of the energy levels of the Schroedinger equation with Kepler-Coulomb potential and of the Klein-Gordon equation on Riemannian coverings of the Euclidean space and of the Schwarzschild space-time respectively. Degeneracy of energy levels is a consequence of the superintegrability of the system. We see how the degree of degeneracy changes depending on the covering parameter k, the parameter that in space-times can be related with a cosmic string, and show examples of lower degeneracy in correspondence of non integer values of k. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10824 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the degeneracy of the energy levels of Schroedinger and Klein-Gordon equations on Riemannian coverings Chanu, Claudia Maria Rastelli, Giovanni Mathematical Physics We study the degeneracy of the energy levels of the Schroedinger equation with Kepler-Coulomb potential and of the Klein-Gordon equation on Riemannian coverings of the Euclidean space and of the Schwarzschild space-time respectively. Degeneracy of energy levels is a consequence of the superintegrability of the system. We see how the degree of degeneracy changes depending on the covering parameter k, the parameter that in space-times can be related with a cosmic string, and show examples of lower degeneracy in correspondence of non integer values of k. |
| title | On the degeneracy of the energy levels of Schroedinger and Klein-Gordon equations on Riemannian coverings |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2411.10824 |