Analytical Solutions of the Schrodinger Equation for Hua Potential within the Framework of two Approximations Scheme

TL;DR

This paper provides exact analytical solutions to the Schrödinger equation for the Hua potential using the Nikiforov-Uvarov method with two approximation schemes, covering s-wave and arbitrary angular momenta.

Contribution

It introduces a novel analytical approach to solving the Schrödinger equation for the Hua potential with two approximation schemes, expanding the understanding of this potential.

Findings

Exact wave functions and energy spectra derived

Special cases of the Hua potential analyzed

Method applicable to various angular momenta

Abstract

In this paper, we solve analytically the Schrodinger equation for s-wave and arbitrary angular momenta with the Hua potential is investigated respectively. The wave function as well as energy equation are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.