Separation of variables and the XXZ Gaudin magnet
Ernest G. Kalnins, Vadim B. Kuznetsov, Willard Miller · arXiv (Cornell University) · 1994
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.