Poisson structures of Calogero-Moser and Ruijs']jsenaars-Schneider models

被引：9

作者：

Aniceto, Ines ^{[1
]}

Avan, Jean ^{[3
]}

Jevicki, Antal ^{[2
]}

机构：

[1] Inst Super Tecn, CAMGSD, Dept Matemat, P-1049001 Lisbon, Portugal

[2] Brown Univ, Dept Phys, Providence, RI 02912 USA

[3] Univ Cergy Pontoise, CNRS, UMR 8089, LPTM, F-95302 Cergy Pontoise, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 18期

关键词：

COLLECTIVE FIELD-THEORY; INTEGRABLE SYSTEMS; MATRIX;

D O I：

10.1088/1751-8113/43/18/185201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bi-Hamiltonian structures for the discrete models and field-theoretical realizations of these structures. We discuss the relevance of these realizations as collective-field theory for the discrete models.

引用

页数：14

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