Separation of Variables in the Elliptic Gaudin Model
Abstract
For the elliptic Gaudin model (a degenerate case of the 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 BakerAkhiezer function. The classical results are generalized to the quantum case where the kernel of the separating integral operator is constructed. The simplest onedegreeoffreedom case is studied in detail.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 1999
 DOI:
 10.1007/s002200050635
 arXiv:
 arXiv:solvint/9807008
 Bibcode:
 1999CMaPh.204...17S
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 24 pages, Latex