Separation of Variables in the Elliptic Gaudin Model

Details Separation of Variables in the Elliptic Gaudin Model Separation of Variables in the Elliptic Gaudin Model

1998-07-23

arxiv.org/abs/solv-int/9807008v3

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Latex; minor corrections

Scientific paper

10.1007/s002200050635

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.

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