quantum integrable system

CMS Operators Type B(1, 1) and Lie Superalgebra osp(3, 2)

The main purpose of this article is to study the realation between the representations theory of Lie superalgebras osp(3, 2) and the Calogero –Moser – Sutherland (CMS) B(1, 1) type differential operator. The differential operator depends polynomially on three parameters. The corresponding polynomial eigenfunctions also depend on three parameters; but in the general case, the coefficients of these eigenfunctions have a rational dependence on the parameters.