Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario
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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2014
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| _version_ | 1876426898025742336 |
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| author | Ronald Oliveira Francisco |
| author_facet | Ronald Oliveira Francisco |
| contents | Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario Ronald Oliveira Francisco Thiago Luiz Antonacci Oakes Julio César Fabris José Alexandre Nogueira Física, Astronomía y Matemáticas Lorentz Hydrogen atom Minimal length Dirac equation covariant algebra We show that relativistic contributions to the ground-state energy of the hydrogen atom from a mini- mal 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 10−20 m for the minimal length. 2014 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46431122013 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2-3 Vol.44 |
| format | Artículo científico |
| id | redalyc_46431122013 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario Ronald Oliveira Francisco Física, Astronomía y Matemáticas Lorentz Hydrogen atom Minimal length Dirac equation covariant algebra Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario Ronald Oliveira Francisco Thiago Luiz Antonacci Oakes Julio César Fabris José Alexandre Nogueira Física, Astronomía y Matemáticas Lorentz Hydrogen atom Minimal length Dirac equation covariant algebra We show that relativistic contributions to the ground-state energy of the hydrogen atom from a mini- mal 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 10−20 m for the minimal length. 2014 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46431122013 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2-3 Vol.44 |
| title | Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario |
| topic | Física, Astronomía y Matemáticas Lorentz Hydrogen atom Minimal length Dirac equation covariant algebra |
| url | https://www.redalyc.org/articulo.oa?id=46431122013 |