Separation of variables and the XXZ Gaudin magnet

Details Separation of variables and the XXZ Gaudin magnet Separation of variables and the XXZ Gaudin magnet

1994-12-21

arxiv.org/abs/hep-th/9412190v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, AMS-TeX

Scientific paper

In this work we generalise previous results connecting (rational) Gaudin magnet models and classical separation of variables. It is shown that the connection persists for the case of linear r-matrix algebra which corresponds to the trigonometric 4x4 r-matrix (of the XXZ type). We comment also on the corresponding problem for the elliptic (XYZ) r-matrix. A prescription for obtaining integrable systems associated with multiple poles of an L-operator is given.

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