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arXiv · 1402.4667

Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario

R. O. Francisco·T. L. Antonacci Oakes·J. C. Fabris·J. A. Nogueira
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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 $10^{-20}m$.

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R. O. Francisco, T. L. Antonacci Oakes, J. C. Fabris, J. A. Nogueira. 2014-02-19. Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario. https://doi.org/10.1007/s13538-014-0185-y

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