Elementary atoms in spaces of constant curvature by the Nikiforov-Uvarov method
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915282100944896 |
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| author | Alizzi, Abdaljalel E. Sagaydak, Alina E. Silagadze, Zurab K. |
| author_facet | Alizzi, Abdaljalel E. Sagaydak, Alina E. Silagadze, Zurab K. |
| contents | The Nikiforov-Uvarov method is a simple, yet elegant and powerful method for solving second-order differential equations of generalized hypergeometric type. In the past, it has been used to solve many problems in quantum mechanics and elsewhere. We apply this method to the classical problem of hydrogen-like atoms in spaces of constant curvature. Both the spectra of these atoms and their wave functions, including normalization, are easily obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elementary atoms in spaces of constant curvature by the Nikiforov-Uvarov method Alizzi, Abdaljalel E. Sagaydak, Alina E. Silagadze, Zurab K. Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory The Nikiforov-Uvarov method is a simple, yet elegant and powerful method for solving second-order differential equations of generalized hypergeometric type. In the past, it has been used to solve many problems in quantum mechanics and elsewhere. We apply this method to the classical problem of hydrogen-like atoms in spaces of constant curvature. Both the spectra of these atoms and their wave functions, including normalization, are easily obtained. |
| title | Elementary atoms in spaces of constant curvature by the Nikiforov-Uvarov method |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.07150 |