Exact Solution of T-Difference Radial Schrödinger Equation

In this paper, we get an exact discrete analog of the radial Schrödinger equation. We propose a difference equation that exactly corresponds to the standard radial Schrödinger equation. The suggested equation contains $T$-differences that are represented by infinite series. From a physical point of view, this discrete equation describes a lattice with long-range interactions of power-law type. From a mathematical point of view, it is a uniquely selected difference equation that exactly corresponds to continuous radial Schrödinger equation. Solution of the suggested difference radial Schrödinger equation is obtained.