Regularisation by Hamiltonian extension
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916344044191744 |
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| author | Knauf, Andreas |
| author_facet | Knauf, Andreas |
| contents | We consider the Kepler potential and its relatives $q\mapsto -\|q\|^{-2(1-1/n)}$, $n\in\mathbb{N}$ in arbitrary dimension $d$. We derive a unique real-analytic symplectic extension of phase space on which the Hamiltonian flow is complete and still real-analytic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00877 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularisation by Hamiltonian extension Knauf, Andreas Dynamical Systems Mathematical Physics 37C83 We consider the Kepler potential and its relatives $q\mapsto -\|q\|^{-2(1-1/n)}$, $n\in\mathbb{N}$ in arbitrary dimension $d$. We derive a unique real-analytic symplectic extension of phase space on which the Hamiltonian flow is complete and still real-analytic. |
| title | Regularisation by Hamiltonian extension |
| topic | Dynamical Systems Mathematical Physics 37C83 |
| url | https://arxiv.org/abs/2408.00877 |