Nuclear-size effects and a numerical approach to the Dirac equation

TL;DR

This paper demonstrates a straightforward numerical method for solving the Dirac equation with nuclear-size effects, providing an accessible approach and comparison with the Coulomb Klein-Gordon equation.

Contribution

It introduces a simple, instructive numerical approach to the Dirac equation considering nuclear-size effects, with comparative analysis to the Klein-Gordon equation.

Findings

Numerical approach is simple and effective.

Comparison with Klein-Gordon equation enhances understanding.

Provides insights into nuclear-size effects on relativistic equations.

Abstract

Due to some current interest in this subject we have produced this note. There is no claim to anything new, except possibly to show that a direct numerical approach is quite simple and instructive. For comparison purposes we include a section on the Coulomb Klein-Gordon equation.