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

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

1992-11-26

arxiv.org/abs/hep-th/9211126v1

Commun.Math.Phys. 150 (1992) 181-192

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1007/BF02096572

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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