Separation of Variables in the Elliptic Gaudin Model

Evgueni K. Sklyanin; Takashi Takebe

doi:10.1007/s002200050635

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Separation of Variables in the Elliptic Gaudin Model

Evgueni K. Sklyanin·Takashi Takebe

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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.

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Evgueni K. Sklyanin, Takashi Takebe. 1999-01-21. Separation of Variables in the Elliptic Gaudin Model. https://doi.org/10.1007/s002200050635

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