Second-order superintegrable systems and Weylian geometry
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916857468944384 |
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| author | Vollmer, Andreas |
| author_facet | Vollmer, Andreas |
| contents | Abundant second-order maximally conformally superintegrable Hamiltonian systems are re-examined, revealing their underlying natural Weyl structure and offering a clearer geometric context for the study of Stäckel transformations (also known as coupling constant metamorphosis). This also allows us to naturally extend the concept of conformal superintegrability from the realm of conformal geometries to that of Weyl structures. It enables us to interpret superintegrable systems of the above type as semi-Weyl structures, a concept related to statistical manifolds and affine hypersurface theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00569 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second-order superintegrable systems and Weylian geometry Vollmer, Andreas Differential Geometry 53C18, 37J35, 70G45 Abundant second-order maximally conformally superintegrable Hamiltonian systems are re-examined, revealing their underlying natural Weyl structure and offering a clearer geometric context for the study of Stäckel transformations (also known as coupling constant metamorphosis). This also allows us to naturally extend the concept of conformal superintegrability from the realm of conformal geometries to that of Weyl structures. It enables us to interpret superintegrable systems of the above type as semi-Weyl structures, a concept related to statistical manifolds and affine hypersurface theory. |
| title | Second-order superintegrable systems and Weylian geometry |
| topic | Differential Geometry 53C18, 37J35, 70G45 |
| url | https://arxiv.org/abs/2411.00569 |