Classical Dynamical Symmetries and Geometry of Trajectories
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913633292779520 |
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| author | Carimalo, Christian |
| author_facet | Carimalo, Christian |
| contents | It is shown that all spherical symmetric potentials are capable of producing dynamical symmetries in classical one-body motions, thanks to the inevitable existence of symmetry axes associated with turning points for corresponding trajectories. This will definitely expand the class of maximally superintegrable one-body motions in central potentials that until now was considered to include only the Newtonian and Hookean cases. A simple method is proposed to identify and characterize these dynamical symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical Dynamical Symmetries and Geometry of Trajectories Carimalo, Christian Classical Physics It is shown that all spherical symmetric potentials are capable of producing dynamical symmetries in classical one-body motions, thanks to the inevitable existence of symmetry axes associated with turning points for corresponding trajectories. This will definitely expand the class of maximally superintegrable one-body motions in central potentials that until now was considered to include only the Newtonian and Hookean cases. A simple method is proposed to identify and characterize these dynamical symmetries. |
| title | Classical Dynamical Symmetries and Geometry of Trajectories |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2401.17021 |