Comment on: "On the effects of the Lorentz symmetry violation yielded by a tensor field on the interaction of a scalar particle and a Coulomb-type field" Ann. Phys. 399 (2018) 117-123

TL;DR

This paper critically examines a previous study on scalar particle interactions under Lorentz symmetry violation, demonstrating that its mathematical truncation approach leads to invalid physical conclusions.

Contribution

It provides a rigorous critique of prior work, clarifying the correct interpretation of eigenvalues and eigenfunctions in Lorentz-violating scenarios.

Findings

Previous truncation methods yield meaningless results

Eigenvalues and eigenfunctions are misinterpreted in the original study

The correct analysis invalidates prior conclusions

Abstract

We analyze the eigenvalues and eigenfunctions stemming from a recent study of the interaction of a scalar particle with a Coulomb potential in the presence of a background of the violation of the Lorentz symmetry established by a tensor field. We show, beyond any doubt, that the physical conclusions drawn by the authors from a truncation of a power series, coming from the application of the Frobenius method, are meaningless and nonsensical.