Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck Model
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914068386807808 |
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| author | Turner, Bethan |
| author_facet | Turner, Bethan |
| contents | We provide a complete classification of all the ways the Pais-Uhlenbeck osicllator might be embedded in two dimensional space. We discuss the Bi-Hamiltonian structures of this model, and examine how alternative Hamiltonian structures might be generated from the dynamical Lie symmetries of the theory. We then examine how the Bi-Hamiltonian strucutre may be exploited to evade the problem of unbounded Hamiltonians that is usually associated with Higher Time Derivative Theories. The effect of interactions on this Bi-Hamiltonian structure is also considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26477 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck Model Turner, Bethan Mathematical Physics We provide a complete classification of all the ways the Pais-Uhlenbeck osicllator might be embedded in two dimensional space. We discuss the Bi-Hamiltonian structures of this model, and examine how alternative Hamiltonian structures might be generated from the dynamical Lie symmetries of the theory. We then examine how the Bi-Hamiltonian strucutre may be exploited to evade the problem of unbounded Hamiltonians that is usually associated with Higher Time Derivative Theories. The effect of interactions on this Bi-Hamiltonian structure is also considered. |
| title | Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck Model |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2509.26477 |