Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere ?

@inproceedings{KALNINS2011TwoVariableWP,
title={Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere ?},
author={Ernie G. KALNINS and Willard Miller and S. Post},
year={2011}
}

We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 (as differential operators). Further there is an algebraic relation at order 8 expressing the fact that there are only 5 algebraically independent generators. We work out the details of modeling physically relevant irreducible representations of the quadratic algebra in terms ofâ€¦Â CONTINUE READING