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Non-symplectic symmetries and bi-Hamiltonian structures of the rational Harmonic Oscillator
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cariñena, J. F. Marmo, Giuseppe Rañada, Manuel F. |
| Copyright Year | 2002 |
| Abstract | The existence of bi-Hamiltonian structures for the rational Harmonic Oscillator (non-central harmonic oscillator with rational ratio of frequencies) is analyzed by making use of the geometric theory of symmetries. We prove that these additional structures are a consequence of the existence of dynamical symmetries of non-symplectic (non-canonical) type. The associated recursion operators are also obtained. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/0210260v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Dynamical system Hamiltonian (quantum mechanics) Oscillator Device Component Recursion Symplectic integrator |
| Content Type | Text |
| Resource Type | Article |