Superintegrability and Coulomb-Oscillator Duality
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916478259822592 |
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| author | Mardoyan, Levon G. |
| author_facet | Mardoyan, Levon G. |
| contents | This review is devoted to the problem of Coulomb (dyon)-oscillator duality in non-relativistic quantum mechanics, which is based on the so-called non-bijective quadratic transformations, i.e. Levi-Civita transformation, Kustaanheimo--Stiefel (KS-transformation) and Hurwitz transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superintegrability and Coulomb-Oscillator Duality Mardoyan, Levon G. Mathematical Physics This review is devoted to the problem of Coulomb (dyon)-oscillator duality in non-relativistic quantum mechanics, which is based on the so-called non-bijective quadratic transformations, i.e. Levi-Civita transformation, Kustaanheimo--Stiefel (KS-transformation) and Hurwitz transformation. |
| title | Superintegrability and Coulomb-Oscillator Duality |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2411.07733 |