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Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario

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 $10^{-20}m$.

preprint2014arXivOpen access
R. O. FranciscoT. L. Antonacci OakesJ. C. FabrisJ. A. Nogueira
hep-th
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Open access4 authors1 topic
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R. O. FranciscoT. L. Antonacci OakesJ. C. FabrisJ. A. Nogueira

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