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

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

2007-12-10

arxiv.org/abs/0712.1496v1

Mathematics

Quantum Algebra

Scientific paper

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.

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