A basis for the polynomial eigenfunctions of deformed Calogero-Moser-Sutherland operators

Abstract

We construct a linear basis for the polynomial eigenfunctions of a family of deformed Calogero-Moser-Sutherland operators naturally associated with hypergeometric polynomials. In our construction the eigenfunctions are obtained as linear combinations of polynomials which generalise the (super) Schur polynomials. As a byproduct, we obtain explicit series representations for the super Jack polynomials.

References in corpus (2)

• Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones
• An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models