Using a recent formulation of quantum mechanics without a potential function, we present a four-parameter system associated with the Wilson and Racah polynomials. The continuum scattering states are written in terms of the Wilson polynomials whose asymptotics give the scattering amplitude and phase shift. On the other hand, the finite number of discrete bound states are associated with the Racah polynomials.

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There is a typo in Ref. 9 by which the + sign inside the argument of the cosine in Eq. (B12) is replaced by a − sign (private communication with J. A. Wilson).

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