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 of… CONTINUE READING

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