Dynamical $r$-matrices for the Elliptic Calogero-Moser Model
| dc.creator | Sklyanin, E. K. | |
| dc.date | 1993-08-12 | |
| dc.date.accessioned | 2026-07-07T09:14:06Z | |
| dc.date.available | 2026-07-07T09:14:06Z | |
| dc.description | For the integrable $N$-particle Calogero-Moser system with elliptic potential it is shown that the Lax operator found by Krichever possesses a classical $r$-matrix structure. The $r$-matrix is a natural generalisation of the matrix found recently by Avan and Talon (hep-th/9210128) for the trigonometric potential. The $r$-matrix depends on the spectral parameter and only half of the dynamical variables (particles' coordinates). It satisfies a generalized Yang-Baxter equation involving another dynamical matrix. | |
| dc.description | 11p, LATEX file, LPTHE-93-42 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9308060 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9308060 | |
| dc.identifier | Alg.Anal. 6 (1994) 227-237; St.Petersburg Math.J. 6 (1995) 397-406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152555 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Dynamical $r$-matrices for the Elliptic Calogero-Moser Model | |
| dc.type | text |