Comment on "Effects of cosmic-string framework on the thermodynamical properties of anharmonic oscillator using the ordinary statistics and the q-deformed superstatistics approaches"

TL;DR

This paper critiques a previous study on the thermodynamics of an anharmonic oscillator in a cosmic string background, highlighting errors in the solution method that affect the derived thermodynamical properties.

Contribution

It identifies and clarifies a misleading treatment in the previous work's solution of the Schrödinger equation for the system.

Findings

Incorrect solution approach in the cited paper

Potential inaccuracies in the thermodynamical analysis

Emphasis on correct mathematical treatment

Abstract

We point out a misleading treatment in a recent paper published in this Journal [Eur. Phys. J. C (2018)78:106] regarding solutions for the Schr\"{o}dinger equation with a anharmonic oscillator potential embedded in the background of a cosmic string mapped into biconfluent Heun equation. This fact jeopardizes the thermodynamical properties calculated in this system.