The r-matrix structure of the Euler-Calogero-Moser model
نویسندگان
چکیده
منابع مشابه
The r-matrix structure of the Euler-Calogero-Moser model
We construct the r-matrix for the generalization of the Calogero-Moser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the r-matrix for the O(N) Euler-Calogero-Moser model and for the standard AN Calogero-Moser model. PAR LPTHE 93-55 L.P.T.H.E. Université Paris VI (CNRS UA 280), Box 126, Tour 16, 1 étage, 4 place Jussieu, F-75252 PARIS CEDEX 05
متن کاملThe nondynamical r-matrix structure of the elliptic Calogero-Moser Model
The elliptic Calogero-Moser (CM) model[1-4] is the system of N one-dimensional particles interacting by two-particle potential of the elliptic type. It is well-known that the CM model is completely integrable[18]. The Lax operator of this system , which is the most effective way to construct the complete set of integrals of motion, was found by Krichever[6] . The classical r-matrix structure of...
متن کاملThe nondynamical r-matrix structure for the elliptic An−1 Calogero-Moser model
In this paper, we construct a new Lax operator for the elliptic An−1 Calogero-Moser model with general n(2 ≤ n) from the classical dynamical twisting, in which the corresponding r-matrix is purely numeric (nondynamical one). The nondynamical r-matrix structure of this Lax operator is obtained, which is elliptic Zn-symmetric r-matrix. Mathematics Subject Classification : 70F10 , 70H33 , 81U10.
متن کاملRational Calogero–Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
We compute the full expression of the second Poisson bracket structure for N = 2 and N = 3 site rational classical Calogero–Moser model. We propose an r-matrix formulation for N = 2. It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors.
متن کاملExact Yangian Symmetry in the classical Euler-Calogero-Moser Model
We compute the r-matrix for the elliptic Euler-Calogero-Moser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry. PAR LPTHE 94-03 L.P.T.H.E. Université Paris VI (CNRS UA 280), Box 126, Tour 16, 1er étage, 4 place Jussieu, F-75252 PARIS CEDEX 05
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1994
ISSN: 0375-9601
DOI: 10.1016/0375-9601(94)90930-x