Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet
Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet
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DOI：
10.1063/1.529542
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发表时间：
1992-09
影响因子：
1.3
通讯作者：
V. Kuznetsov
中科院分区：
文献类型：
--
作者：
V. Kuznetsov
研究常曲率实黎曼空间中与变量分离有关的可积系统。给出了这些具有双曲高定磁体的系统的同构性。利用这种同构性，利用相应的L -算符给出了可分离坐标系的完整分类。
The integrable systems are considered which are connected with separation of variables in real Riemannian spaces of constant curvature. An isomorphism is given for these systems with hyperbolic Gaudin magnet. Using this isomorphism, the complete classification of separable coordinate systems is provided by means of the corresponding L‐operators for the Gaudin magnet.