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arXiv · hep-th/9212076

Separation of variables in the quantum integrable models related to the Yangian Y[sl(3)]

E. K. Sklyanin
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Abstract

There being no precise definition of the quantum integrability, the separability of variables can serve as its practical substitute. For any quantum integrable model generated by the Yangian Y[sl(3)] the canonical coordinates and the conjugated operators are constructed which satisfy the ``quantum characteristic equation'' (quantum counterpart of the spectral algebraic curve for the L operator). The coordinates constructed provide a local separation of variables. The conditions are enlisted which are necessary for the global separation of variables to take place.

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E. K. Sklyanin. 1992-12-11. Separation of variables in the quantum integrable models related to the Yangian Y[sl(3)]. https://doi.org/10.1007/bf02362784

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