Comment on: "Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential''. Eur. Phys. J. C (2012) 72:2051

TL;DR

This paper critiques a previous study on relativistic quantum dynamics in cosmic string spacetime, clarifying that the original authors only found a single eigenvalue and that their conjecture about cyclotron frequencies was an artifact of their solution method.

Contribution

It provides a critical analysis showing that the earlier work's spectrum was incomplete and that their key conjecture was based on a truncation artifact rather than a physical result.

Findings

The original spectrum was not fully obtained, only a single eigenvalue was identified.

The proposed allowed cyclotron frequencies are artifacts of the solution method.

The eigenvalue spectrum requires a more comprehensive approach.

Abstract

We analyze the results of a paper on ``Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential''. We show that the authors did not obtain the spectrum of the eigenvalue equation but only one eigenvalue for a specific relationship between model parameters. In particular, the existence of allowed cyclotron frequencies conjectured by the authors is a mere artifact of the truncation condition used to obtain exact solutions to the radial eigenvalue equation.