Comment on "A new exactly solvable quantum model in $N$ dimensions" [Phys. Lett. A 375(2011)1431, arXiv:1007.1335]

TL;DR

This paper critiques a previously proposed quantum model, arguing that due to flaws in the position-dependent mass Hamiltonian, it does not qualify as a genuinely new or valuable exactly solvable model in physics.

Contribution

It provides a critical analysis showing that the earlier model's flaws undermine its status as an exactly solvable quantum system.

Findings

The proposed Hamiltonian has fundamental flaws.

The model's solvability is compromised by its flaws.

It questions the physical relevance of the earlier model.

Abstract

We pinpoint that the work about "a new exactly solvable quantum model in $N$ dimensions" by Ballesteros et al. [Phys. Lett. A {\bf 375} (2011) 1431, arXiv:1007.1335] is not a new exactly solvable quantum model since the flaw of the position-dependent mass Hamiltonian proposed by them makes it less valuable in physics.