Separation of Variables in the Elliptic Gaudin Model
solv-int
2015-11-13 v3 High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
For the elliptic Gaudin model (a degenerate case of XYZ integrable spin chain) a separation of variables is constructed in the classical case. The corresponding separated coordinates are obtained as the poles of a suitably normalized Baker-Akhiezer function. The classical results are generalized to the quantum case where the kernel of separating integral operator is constructed. The simplest one-degree-of-freedom case is studied in detail.
Keywords
Cite
@article{arxiv.solv-int/9807008,
title = {Separation of Variables in the Elliptic Gaudin Model},
author = {Evgueni K. Sklyanin and Takashi Takebe},
journal= {arXiv preprint arXiv:solv-int/9807008},
year = {2015}
}
Comments
24 pages, Latex; minor corrections