Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario |
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Authors: | Ronald Oliveira Francisco Thiago Luiz Antonacci Oakes Júlio César Fabris José Alexandre Nogueira |
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Affiliation: | 1. Departamento de Física, Universidade Federal do Espírito Santo, 29.075-910, Victória, Brasil
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Abstract: | We show that relativistic contributions to the ground-state energy of the hydrogen atom from a minimal length introduced by a Lorentz-covariant algebra are more important than non-relativistic contributions; the non-relativistic approach is therefore unsuitable. We compare our result with experimental data to estimate an upper bound of the order 10?20m for the minimal length. |
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