论文标题
广义相对论互动顶部的整合系统
Integrable System of Generalized Relativistic Interacting Tops
论文作者
论文摘要
描述了一个可集成的$ gl（NM）$模型的家庭。一方面，它概括了经典的旋转ruijsenaars- sChneider系统（$ n = 1 $），另一方面，它概括了相对论的可集成上衣，$ gl（n）$ lie group（case $ m = 1 $）。描述的模型是通过具有光谱参数的LAX对获得的。运动方程是得出的。为了构建LAX表示形式，使用$ gl（n）$ r $ - 矩阵矩阵的基本表示为$ gl（n）$。
A family of integrable $GL(NM)$ models is described. On the one hand it generalizes the classical spin Ruijsenaars--Schneider systems (the case $N=1$), and on the other hand it generalizes the relativistic integrable tops on $GL(N)$ Lie group (the case $M=1$). The described models are obtained by means of the Lax pair with spectral parameter. Equations of motion are derived. For the construction of the Lax representation the $GL(N)$ $R$--matrix in the fundamental representation of $GL(N)$ is used.
