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Wilson polynomials/functions and intertwining operators for the generic quantum superintegrable system on the 2-sphere

2015
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Journal of Physics, Conference Series
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It has been known since 2007 that the Wilson and Racah polynomials can be characterized as basis functions for irreducible representations of the quadratic symmetry algebra of the quantum superintegrable system on the 2-sphere, $H\Psi=E\Psi$, with generic 3-parameter potential. Clearly, the polynomials are expansion coefficients for one eigenbasis of a symmetry operator $L_1$ of $H$ in terms of an eigenbasis of another symmetry operator $L_2$, but the exact relationship appears not to have been

doi:10.1088/1742-6596/597/1/012059
fatcat:dndyrdixlncxlf3e5vigwlkdam