###
Petersburg Department of Steklov Institute of Mathematics

#
PREPRINT 15/1998

E. K. Sklyanin and Takashi Takebe
##
Separation of Variables in the Elliptic Gaudin Model

This preprint was accepted July 22, 1998

Contact:
` E. K. Sklyanin `

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.

Back to all preprints

Back to the Petersburg Department of
Steklov Institute of Mathematics