Potential Function Of the Wilson--Racah Quantum System

TL;DR

This paper derives the potential function for the Wilson-Racah quantum system, bridging a reformulated quantum mechanics approach with the traditional framework using matrix elements and basis functions.

Contribution

It introduces a method to obtain the potential function of the Wilson-Racah quantum system from matrix elements, connecting reformulated and conventional quantum mechanics.

Findings

Derived the potential function for the Wilson-Racah system

Established a correspondence between reformulated and traditional quantum mechanics

Used matrix elements and basis functions for the derivation

Abstract

In order to establish a correspondence between the reformulation of quantum mechanics without potential function and the conventional quantum mechanics; we obtained the potential function of the New Wilson - Racah quantum system in [3] 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.