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Superintegrable Calogero-type systems admit maximal number of Poisson structures | | C. Gonera
; Y. Nutku
; | | Date: |
24 May 2001 | | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | | Abstract: | We present a general scheme for constructing the Poisson structure of super-integrable dynamical systems of which the rational Calogero-Moser system is one of the most interesting one. This dynamical system is $2N$ dimensional with $2N- 1$ first integrals and our construction yields $2N-1$ degenerate Poisson tensors that each admit $2(N-1)$ Casimirs. Our results are quite generally applicable to all super-integrable systems and form an alternative to the traditional bi-Hamiltonian approach. | | Source: | arXiv, nlin.SI/0105056 | | Services: | Forum | Review | PDF | Favorites | |
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