# Elativistic treatment in}$D$ - Dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential

## TL;DR

This paper analytically solves the Klein-Gordon equation in D-dimensions with a combined Kratzer and ring-shaped potential, deriving exact energy levels and wave functions for a spin-zero particle, generalizing previous three-dimensional results.

## Contribution

It provides a new analytical solution for the Klein-Gordon equation with a noncentral potential in arbitrary dimensions using the Nikiforov-Uvarov method.

## Key findings

- Exact energy bound-states derived for the D-dimensional case.
- Wave functions corresponding to the energy levels obtained.
- Results generalize known three-dimensional solutions.

## Abstract

The Klein-Gordon equation in D-dimensions for a recently proposed Kratzer potential plus ring-shaped potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound-states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the noncentral equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three-dimensions given by other works.