Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model

Details Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model

1994-01-12

arxiv.org/abs/hep-th/9401049v1

Phys.Lett. B325 (1994) 401-408

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/0370-2693(94)90032-9

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 Schr\"odinger equations.

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