The Noncommutative Coulomb Potential
High Energy Physics - Theory
2023-10-23 v1
Abstract
In this work, we analyze the noncommutative three-dimensional Coulomb potential problem. For this purpose, we used the Kustaanheimo-Stiefel mapping to write the Schr\"odinger equation for Coulomb potential in a solvable way. Then, the noncommutative hydrogen-like atoms were treated, and their energy levels were found. In addition, we estimate a bound for the noncommutativity parameter.
Cite
@article{arxiv.2101.12539,
title = {The Noncommutative Coulomb Potential},
author = {Beatriz Wang and Emanuel Brenag and Ronni Amorim and Vinicius Rispoli and Sergio Ulhoa},
journal= {arXiv preprint arXiv:2101.12539},
year = {2023}
}