The hyperbolic BCn Sutherland and the rational BCn Ruijsenaars–Schneider–van Diejen models: Lax matrices and duality
The hyperbolic BCn Sutherland and the rational BCn Ruijsenaars–Schneider–van Diejen models: Lax matrices and duality
复制标题
双曲 BCn Sutherland 和有理 BCn Ruijsenaars-Schneider-van Diejen 模型：松散矩阵和对偶性
DOI：
10.1016/j.nuclphysb.2011.11.015
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
B. Pusztai
中科院分区：
文献类型：
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作者：
B. Pusztai
本文构造了具有三个独立耦合常数的双曲型BCnSutherland和有理型BCnRuijsenaars-Schneider-van Diejen模型的典型作用角变量。作为辛约化方法的副产品，我们建立了这些多粒子系统之间的作用角对偶性。本文给出的对偶约简图是建立在bn型有理rujsenaars - schneider - van Diejen模型的Lax矩阵的构造基础上的。
In this paper, we construct canonical action–angle variables for both the hyperbolic BCnSutherland and the rational BCnRuijsenaars–Schneider–van Diejen models with three independent coupling constants. As a byproduct of our symplectic reduction approach, we establish the action–angle duality between these many-particle systems. The presented dual reduction picture builds upon the construction of a Lax matrix for the BCn-type rational Ruijsenaars–Schneider–van Diejen model.