Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential

TL;DR

This paper derives exact bound state solutions for the Klein-Gordon equation with Hylleraas potential using the Nikiforov-Uvarov method, providing explicit energy eigenvalues and eigenfunctions in terms of Jacobi Polynomials.

Contribution

It introduces an exact analytical solution for the Klein-Gordon equation with Hylleraas potential, expanding the set of solvable quantum mechanical models.

Findings

Explicit bound state energy eigenvalues obtained

Eigenfunctions expressed in terms of Jacobi Polynomials

Method demonstrates effectiveness for this potential

Abstract

We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in terms of Jacobi Polynomials