Geodesic
Quasi-Exactly Solvable Generalizations of Calogero–Sutherland Models
Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 367-378 
D. Gomez-Ullate; A. Gonzalez-Lopez; M. A. Rodriguez. Quasi-Exactly Solvable Generalizations of Calogero–Sutherland Models. Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 367-378. http://geodesic.mathdoc.fr/item/TMF_2001_127_3_a2/
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     title = {Quasi-Exactly {Solvable} {Generalizations} of {Calogero{\textendash}Sutherland} {Models}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A generalization of the procedures for constructing quasi-exactly solvable models with one degree of freedom to (quasi-)exactly solvable models of $N$ particles on a line allows deriving many well-known models in the framework of a new approach that does not use root systems. In particular, a $BC_N$ elliptic Calogero–Sutherland model is found among the quasi-exactly solvable models. For certain values of the paramaters of this model, we can explicitly calculate the ground state and the lowest excitations.

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