DYNAMICAL R-MATRICES AND SEPARATION OF VARIABLES - THE GENERALIZED CALOGERO-MOSER MODEL

A generalisation of the classical Calogero-Moser model obtained by cou pling it to the Gaudin model is considered. The recently found classic al dynamical r-matrix [E. Billey, J. Avan and O. Babelon, PAR LPTHE 93 -55] for the Euler-Calogero-Moser model is used to separate variables for this generalised Calogero-Moser model in the case in which there a re two Calogero-Moser particles. The model is then canonically quantis ed and the same classical r-matrix is employed to separate variables i n the Schrodinger equations.