Potential function of the Wilson-Racah quantum system

We show how to establish a correspondence between the recently introduced formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters (without reference to a potential function) and the convention formulation. In this work, we obtain the potential function for the newly introduced quantum system associated with the Wilson and Racah polynomials [A. D. Alhaidari and T. J. Taiwo, J. Math. Phys. 58, 022101 (2017)] using any of the proposed procedures in the work of Alhaidari [Commun. Theor. Phys. 68, 711 (2017)]. To achieve that, we use the matrix elements of the potential function and the basis in which these were calculated.