English

Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario

High Energy Physics - Theory 2015-06-18 v1

Abstract

In this work we show that relativistic contributions to the ground state energy of the hydrogen atom arising from the presence of a minimal length introduced by a Lorentz-covariant algebra are more relevant than non-relativistic ones, and because of this the non-relativistic approach is not suitable. In addition, comparing our result with experimental data we can roughly estimate the upper bound for the minimal length value of the order 1020m10^{-20}m.

Keywords

Cite

@article{arxiv.1402.4667,
  title  = {Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario},
  author = {R. O. Francisco and T. L. Antonacci Oakes and J. C. Fabris and J. A. Nogueira},
  journal= {arXiv preprint arXiv:1402.4667},
  year   = {2015}
}

Comments

13 pages. The paper will appear in Volume 44 of the Brazilian Journal of Physic