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.

引用

页数：13

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