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 Baker-Akhiezer function. The classical results are generalized to the quantum case where the kernel of the separating integral operator is constructed. The simplest one-degree-of-freedom case is studied in detail.
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Received: 21 August 1998 / Accepted: 12 January 1999
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Sklyanin, E., Takebe, T. Separation of Variables in the Elliptic Gaudin Model. Comm Math Phys 204, 17–38 (1999). https://doi.org/10.1007/s002200050635
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DOI: https://doi.org/10.1007/s002200050635