Abstract

Spin Ruijsenaars–Schneider model introduced by Krichever and Zabrodin is a generalisation of a finite-dimensional integrable system due to Ruijsenaars and Schneider, where particles carry additional internal degrees of freedom. We review how a Hamiltonian structure of the spin model with the hyperbolic potential can be obtained by means of Poisson reduction applied to a specially chosen Poisson manifold.

中文翻译：

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归约旋转Spin Ruijsenaars–Schneider模型

摘要

Krichever和Zabrodin引入的Spin Ruijsenaars–Schneider模型是对Ruijsenaars和Schneider的有限维可积系统的推广，其中粒子带有附加的内部自由度。我们回顾了如何通过将泊松归约应用于特殊选择的泊松流形来获得具有双曲势的自旋模型的哈密顿结构。