Separation of variables for the A_3 elliptic Calogero-Moser system

Details Separation of variables for the A_3 elliptic Calogero-Moser system Separation of variables for the A_3 elliptic Calogero-Moser system

2001-05-02

arxiv.org/abs/nlin/0105005v1

Journal of Physics A: Math. and Gen., v. 34, 2001, p. 4183-4197

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, no figures

Scientific paper

10.1088/0305-4470/34/19/315

We consider the classical elliptic Calogero-Moser model. A set of canonical separated variables for this model has been constructed in Kuznetsov et al. However, the generating function of the separating canonical transform is known only for two- and three-particle cases . We construct this generating function for the next A_3 case as the limit of the conjectured form of the quantum separating operator. We show explicitly that this generating function gives a canonical transform from the set of original variables to the separated ones.

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