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Separation of variables for the A_3 elliptic Calogero-Moser system

V. V. Mangazeev
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Abstract

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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V. V. Mangazeev. 2001-05-02. Separation of variables for the A_3 elliptic Calogero-Moser system. https://doi.org/10.1088/0305-4470%2F34%2F19%2F315

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