Canonical and Canonoid transformations for Hamiltonian systems on locally conformal symplectic manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908539556986880 |
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| author | Azuaje, Rafael Zhao, Xuefeng |
| author_facet | Azuaje, Rafael Zhao, Xuefeng |
| contents | This paper is focused on the development of the notions of canonical and canonoid transformations within the framework of Hamiltonian Mechanics on locally conformal symplectic manifolds. Both, time-independent and time-dependent dynamics are considered. Noether-like theorems relating one-parameter groups of transformations with canonical and noncanonical symmetries, are formulated, proved as well as illustrated with elementary examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11953 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Canonical and Canonoid transformations for Hamiltonian systems on locally conformal symplectic manifolds Azuaje, Rafael Zhao, Xuefeng Mathematical Physics This paper is focused on the development of the notions of canonical and canonoid transformations within the framework of Hamiltonian Mechanics on locally conformal symplectic manifolds. Both, time-independent and time-dependent dynamics are considered. Noether-like theorems relating one-parameter groups of transformations with canonical and noncanonical symmetries, are formulated, proved as well as illustrated with elementary examples. |
| title | Canonical and Canonoid transformations for Hamiltonian systems on locally conformal symplectic manifolds |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2509.11953 |