Separation of variables in the classical integrableSL(3) magnetic chain
Separation of variables in the classical integrableSL(3) magnetic chain
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DOI：
10.1007/bf02096572
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发表时间：
1992-11
影响因子：
2.4
通讯作者：
Evgeny Sklyanin
中科院分区：
文献类型：
--
作者：
Evgeny Sklyanin
哈密顿可积系统理论研究两个基本问题：运动方程的积分和作用角变量的构造。然而，第三个问题应该被添加到列表中：变量的分离。虽然它比前两个简单得多，但它与量子可积性有着重要的关系。本文构造了SL（3）磁链的分离变量模型--一个与非超椭圆代数曲线相联系的可积模型的例子。
There are two fundamental problems studied by the theory of hamiltonian integrable systems: integration of equations of motion, and construction of action-angle variables. A third problem, however, should be added to the list: separation of variables. Though much simpler thant the two others, it has important relations to quantum integrability. Separation of variables is constructed for theSL(3) magnetic chain—an example of an integrable model associated to a nonhyperelliptic algebraic curve.