Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model
arXiv:hep-th/9401049 · doi:10.1016/0370-2693(94)90032-9
Abstract
A generalisation of the classical Calogero-Moser model obtained by coupling it to the Gaudin model is considered. The recently found classical 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 are two Calogero-Moser particles. The model is then canonically quantised and the same classical r-matrix is employed to separate variables in the Schrödinger equations.
12 pages