New Quantum System of Wilson Orthogonal Polynomial

Abstract

We find a new quantum system associated with the Wilson Orthogonal Polynomial. In order to establish correspondence between the recent reformulation of quantum mechanic without potential function [1-2] and the convention quantum mechanics, we derived the potential function of the new quantum system using any of the proposed formulas in [4]. To achieve this, we used the matrix elements of the potential function and the basis element of the configuration space.