Perturbed Coulombic potentials in Dirac and Klein-Gordon equations

TL;DR

This paper introduces a relativistic pseudo-shifted b5d5-expansion method to compute eigenvalues of Dirac and Klein-Gordon equations, demonstrating its accuracy through comparison with numerical data.

Contribution

It presents a novel relativistic extension of the pseudo-shifted b5d5-expansion technique for solving relativistic quantum equations.

Findings

Accurate eigenvalue calculations for Dirac and Klein-Gordon equations.

Comparison shows the method's results agree well with numerical integration data.

The technique is effective for perturbed Coulombic potentials.

Abstract

A relativistic extension of our pseudo-shifted $\ell$-expansion technique is presented to solve for the eigenvalues of Dirac and Klein-Gordon equations. Once more we show the numerical usefulness of its results via comparison with available numerical integration data.