A basis for the polynomial eigenfunctions of deformed Calogero-Moser-Sutherland operators
Quantum Algebra
2007-12-11 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0712.1496,
title = {A basis for the polynomial eigenfunctions of deformed Calogero-Moser-Sutherland operators},
author = {Martin Hallnäs},
journal= {arXiv preprint arXiv:0712.1496},
year = {2007}
}