Comment on "Cornell potential in generalized uncertainty principle formalism: the case of Schr\"odinger equation"

TL;DR

This paper critiques a recent study on solving the Schrödinger equation with Cornell potential under a generalized uncertainty principle, clarifying its limitations to s-waves and addressing inaccuracies in the original abstract and conclusion.

Contribution

It clarifies that the previous approach is only valid for s-waves and corrects misrepresentations in the original paper's abstract and conclusion.

Findings

The approach in Ref. 2 is only applicable to s-waves.

The solution in Ref. 1 is valid only for l=0.

The original abstract and conclusion misrepresent the results.

Abstract

In the recent paper, Ref. 1, the l-waves Schr\"odinger equation for the Cornell's potential is solved in quantum mechanics with a generalized uncertainty principle by following Ref. 2. It is showed here that the approach of Ref. 2 can only be used for the s-waves, and then the solution given in Ref. 1 would be true only in the special case l=0. Furthermore, it is highlighted that the abstract and the conclusion of Ref. 1 do not accurately reflect the results of the paper.