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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.13165 |
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| _version_ | 1866909298623250432 |
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| author | Gonera, Cezary Gonera, Joanna Jasiński, Artur Kosiński, Piotr |
| author_facet | Gonera, Cezary Gonera, Joanna Jasiński, Artur Kosiński, Piotr |
| contents | We describe a general procedure which allows to construct, starting from a given Hamiltonian, the whole family of new ones sharing the same set of unparameterized trajectories in phase space. The symmetry structure of this family can be completely characterized provided the symmetries of initial Hamiltonian are known. Our approach covers numerous models considered in literature as well as it allows to construct novel ones.. It provides a far reaching generalization of Hietarinta et al. coupling-constant metamorphosis method and another proof of Darboux theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13165 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The families of Hamiltonians sharing common symmetry structure Gonera, Cezary Gonera, Joanna Jasiński, Artur Kosiński, Piotr Mathematical Physics We describe a general procedure which allows to construct, starting from a given Hamiltonian, the whole family of new ones sharing the same set of unparameterized trajectories in phase space. The symmetry structure of this family can be completely characterized provided the symmetries of initial Hamiltonian are known. Our approach covers numerous models considered in literature as well as it allows to construct novel ones.. It provides a far reaching generalization of Hietarinta et al. coupling-constant metamorphosis method and another proof of Darboux theorem. |
| title | The families of Hamiltonians sharing common symmetry structure |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2303.13165 |