Factorization Way to Symmetries of Systems on Curved Spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929438203052032 |
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| author | Salamanca, Sergio |
| author_facet | Salamanca, Sergio |
| contents | In a previous work we showcased the factorization method to find the symmetries of superintegrable systems with spherical separability in flat spaces. Here we analyze the same problem, but in constant curvature spaces along the examples of curved Kepler-Coulomb and Harmonic Oscillator systems. We also show how this procedure can also be directly extended to the curved Smorodinsky-Winternitz (SW) and Evans systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18628 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Factorization Way to Symmetries of Systems on Curved Spaces Salamanca, Sergio Mathematical Physics In a previous work we showcased the factorization method to find the symmetries of superintegrable systems with spherical separability in flat spaces. Here we analyze the same problem, but in constant curvature spaces along the examples of curved Kepler-Coulomb and Harmonic Oscillator systems. We also show how this procedure can also be directly extended to the curved Smorodinsky-Winternitz (SW) and Evans systems. |
| title | Factorization Way to Symmetries of Systems on Curved Spaces |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2407.18628 |