Spin generalization of the Calogero-Moser system and the matrix KP equation. (English) Zbl 0843.58069
Novikov, S. P. (ed.), Topics in topology and mathematical physics. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 170(27), 83-119 (1995).
The elliptic Calogero-Moser system is defined as a system of \(N\) identical particles on a line interacting with each other via a potential of elliptic type. The spin generalization of this model is considered and the complete solutions are constructed in terms of Riemann theta-functions. The rational and trigonometric version of the Calogero-Moser model are also studied by analogous constructions.
For the entire collection see [Zbl 0827.00019].
For the entire collection see [Zbl 0827.00019].
Reviewer: G.Zet (Iaşi)
MSC:
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 35Q58 | Other completely integrable PDE (MSC2000) |
