Separation of variables and the XXZ Gaudin magnet
High Energy Physics - Theory
2012-08-27 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9412190,
title = {Separation of variables and the XXZ Gaudin magnet},
author = {E. G. Kalnins and V. B. Kuznetsov and Willard Miller,},
journal= {arXiv preprint arXiv:hep-th/9412190},
year = {2012}
}
Comments
11 pages, AMS-TeX