Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario

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 $10^{-20}m$.

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

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