English

Exact Noncommutative Two-Dimensional Hydrogen Atom

High Energy Physics - Theory 2023-10-23 v1

Abstract

In this work, we present an exact analysis of two-dimensional noncommutative hydrogen atom. In this study, it is used the Levi-Civita transformation to perform the solution of the noncommutative Schr\"odinger equation for Coulomb potential. As an important result, we determine the energy levels for the considered system. Using the result obtained and experimental data, a bound on the noncommutativity parameter was obtained.

Keywords

Cite

@article{arxiv.2101.09609,
  title  = {Exact Noncommutative Two-Dimensional Hydrogen Atom},
  author = {Beatriz Wang and Emanuel Brenag and Ronni Amorim and Vinicius Rispoli and Sergio Ulhoa},
  journal= {arXiv preprint arXiv:2101.09609},
  year   = {2023}
}

Comments

9 pages, no figures

R2 v1 2026-06-23T22:27:32.614Z