Research output: Contribution to journal › Article

Journal | Communications in Mathematical Physics |
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Date | Published - Jul 1999 |

Issue number | 1 |

Volume | 204 |

Number of pages | 22 |

Pages (from-to) | 17-38 |

Original language | English |

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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