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

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

1992-12-11

arxiv.org/abs/hep-th/9212076v1

J.Math.Sci.80:1861-1871,1996; Zap.Nauchn.Semin.205:166-178,1993

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

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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