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arXiv · hep-th/9211126

Separation of Variables in the Classical Integrable SL(3) Magnetic Chain

E. K. Sklyanin
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Abstract

There are two fundamental problems studied by the theory of hamiltonian integrable systems: integration of equations of motion, and construction of action-angle variables. The third problem, however, should be added to the list: separation of variables. Though much simpler than two others, it has important relations to the quantum integrability. Separation of variables is constructed for the $SL(3)$ magnetic chain --- an example of integrable model associated to a nonhyperelliptic algebraic curve.

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E. K. Sklyanin. 1992-11-26. Separation of Variables in the Classical Integrable SL(3) Magnetic Chain. https://doi.org/10.1007/bf02096572

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