Comment on the shape of Hydrogen equation in spaces of arbitrary dimension

TL;DR

This paper discusses the necessity of modifying the Coulomb potential when formulating the Hydrogen atom Schrödinger equation in spaces of arbitrary dimensions, highlighting potential inaccuracies in recent literature.

Contribution

It clarifies the correct form of the Coulomb potential in arbitrary dimensions and critiques recent studies that overlooked this modification.

Findings

Incorrect assumptions in recent papers regarding Coulomb potential in higher dimensions

Highlighting the importance of potential modification for accurate hydrogen atom modeling

Emphasizing the need for proper dimensional considerations in quantum equations

Abstract

We note that presenting Hydrogen atom Schrodinger equation in the case of arbitrary dimensions require simultaneous modification of the Coulomb potential that only in three dimensions has the form Z/r . This was not done in a number of relatively recent papers [1-5]. Therefore some results obtained there seem to be doubtful. Some required considerations in the area are mentioned.