The Schrodinger equation with Hulthen potential plus ring-shaped potential

TL;DR

This paper solves the Schrödinger equation with combined Hulthen and ring-shaped potentials for non-zero angular momentum states using the Nikiforov-Uvarov method, providing analytical solutions and normalization constants.

Contribution

It introduces an analytical approach to solve the Schrödinger equation with combined potentials for non-zero angular momentum states using an exponential approximation.

Findings

Analytical solutions obtained for the combined potential.

Explicit expressions for wave functions and normalization constants.

Application of the Nikiforov-Uvarov method to this potential combination.

Abstract

We present the solutions of the Schr$\ddot{o}$dinger equation with the Hulth$\acute{e}$n potential plus ring-shape potential for $\ell\neq 0$ states within the framework of an exponential approximation of the centrifugal potential.Solutions to the corresponding angular and radial equations are obtained in terms of special functions using the conventional Nikiforov-Uvarov method. The normalization constant for the Hulth$\acute{e}$n potential is also computed.