Comment on: "On the Dirac oscillator subject to a Coulomb-type central potential induced by the Lorentz symmetry violation"

TL;DR

This paper critiques recent findings on the Dirac oscillator with Coulomb-type potential, highlighting that the previous eigenvalues were incomplete due to improper series truncation, thus questioning their validity.

Contribution

It demonstrates that truncating the Frobenius series fails to produce all eigenvalues and eigenfunctions, revealing flaws in prior analyses of the Dirac oscillator with Lorentz symmetry violation.

Findings

Previous eigenvalues were incomplete due to series truncation

Reported oscillator frequencies are unreliable

Eigenvalues and frequencies need proper calculation methods

Abstract

We analyze recent results on a Dirac oscillator. We show that the truncation of the Frobenius series does not yield all the eigenvalues and eigenfunctions of the radial equation. For this reason the eigenvalues reported by the authors are useless and the prediction of allowed oscillator frequencies meaningless.