Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure

被引：5
|
作者：
Avan, Jean [1 ]
Ragoucy, Eric [2 ,3 ]
机构：
[1] Univ Cergy Pontoise, CNRS, Lab Phys Theor & Modelisat, UMR 8089, F-95302 Cergy Pontoise, France
[2] CNRS, LAPTH Annecy le Vieux, F-74941 Annecy Le Vieux, France
[3] Univ Savoie, F-74941 Annecy Le Vieux, France
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷
关键词：
classical integrable systems; hierarchy of Poisson structures; dynamical reflection equation; SYSTEMS; EQUATION;
D O I：
10.3842/SIGMA.2012.079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：13
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