Separation of Variables in BC-type Gaudin Magnet

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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11 pages, macros from ftp.ioppublishing.com

Scientific paper

10.1088/0305-4470/28/14/023

The integrable system is introduced based on the Poisson $ rs $-matrix
structure. This is a generalization of the Gaudin magnet, and in SL(2) case
isomorphic to the generalized Neumann model. The separation of variables is
discussed for both classical and quantum case.

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