On solution of Klein-Gordon equation in scalar and vector potentials

TL;DR

This paper derives an accurate form of the Klein-Gordon equation in scalar and vector potentials, correcting previous inaccuracies and highlighting errors in prior solutions with equal scalar and vector potentials.

Contribution

It provides a corrected derivation of the Klein-Gordon equation in electromagnetic environments, challenging prior formulations and solutions.

Findings

Previous equations with scalar and vector potentials are incorrect

The correct equation is derived using Coulomb gauge

Many prior solutions to the Klein-Gordon equation are invalid

Abstract

Based on the Coulomb gauge, the accurate Klein-Gordon equation in static scalar and vector potentials was derived from Klein-Gordon equation in electromagnetic environment. The correct equation developed in this comment demonstrates that so-called the Klein-Gordon equation with scalar and vector potentials is incorrect; therefore, some papers published to solve Klein-Gordon equation with equal scalar and vector potential are also wrong.