Comment on: "On the Klein-Gordon oscillator subject to a Coulomb-type potential". Ann. Phys. 355 (2015) 48 [arXiv:arXiv:1411.6988]

TL;DR

This paper critically examines a previous study on the Klein-Gordon oscillator with Coulomb potential, revealing that the truncation method used was incomplete and led to misleading conclusions about eigenvalues and oscillator frequencies.

Contribution

It clarifies the limitations of the truncation method in deriving eigenvalues and shows that some results are artifacts of the approximation rather than physical features.

Findings

The truncation method does not produce all eigenvalues.

Allowed oscillator frequencies depend on quantum numbers as artifacts.

The previous conclusions are incomplete and potentially misleading.

Abstract

We analyze the conclusions of the influence of a Coulomb-type potential on the Klein-Gordon oscillator. We show that the truncation method proposed by the authors do not yield all the eigenvalues of the radial equation but just one of them for a particular value of a model parameter. Besides, the existence of allowed oscillator frequencies that depend on the quantum numbers is an artifact of the truncation method.