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Gaudin Models and Bending Flows : a Geometrical Point of View
| Content Provider | Semantic Scholar |
|---|---|
| Author | Falqui, Gregorio Sissa, Fabio Musso |
| Copyright Year | 2008 |
| Abstract | In this paper we discuss the bihamiltonian formulation of the (rational XXX) Gaudin models of spin–spin interaction, generalized to the case of sl(r)–valued " spins ". In particular, we focus on the homogeneous models. We find a pencil of Poisson brackets that recursively define a complete set of integrals of the motion, alternative to the set of integrals associated with the " standard " Lax representation of the Gaudin model. These integrals, in the case of su(2), coincide wih the Hamiltonians of the " bending flows " in the moduli space of polygons in Euclidean space introduced by Kapovich and Millson. We finally address the problem of separability of these flows and explicitly find separation coordinates and separation relations for the r = 2 case. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/nlin/0306005v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Decompression Sickness Flow Linear separability Point of View (computer hardware company) Recursion Recursive definition |
| Content Type | Text |
| Resource Type | Article |
