The Frenet-Serret description of Born rigidity and its application to the Dirac equation
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2020
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| _version_ | 1876453735672053760 |
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| author | J.B. Formiga |
| author_facet | J.B. Formiga |
| contents | The Frenet-Serret description of Born rigidity and its application to the Dirac equation J.B. Formiga Física, Astronomía y Matemáticas Frenet Born rigidity Dirac equation Serret formalism accelerated frames The role played by non-inertial frames in physics is one of the most interesting subjects that we can study when dealing with a physical theory. This is especially true for special relativity and the Dirac theory In the case of special relativity, a problem with the concept of rigidity emerged as soon as Max Born gave a reasonable definition of rigid motion: the Herglotz-Noether theorem imposes a strong restriction on the possible rigid motions. In this paper, the equivalence of this theorem with another one that is formulated with the help of Frenet-Serret formalism is proved, showing the connection between the rigid motion and the curvatures of the observer’s trajectory in spacetime. Besides, the Dirac equation in the Frenet-Serret frame for an arbitrary observer is obtained and applied to the rotating observers. The solution in the rotating frame is given in terms of that of an inertial one. 2020 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082932007 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.66 |
| format | Artículo científico |
| id | redalyc_57082932007 |
| institution | Redalyc |
| language | en |
| publishDate | 2020 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | The Frenet-Serret description of Born rigidity and its application to the Dirac equation J.B. Formiga Física, Astronomía y Matemáticas Frenet Born rigidity Dirac equation Serret formalism accelerated frames The Frenet-Serret description of Born rigidity and its application to the Dirac equation J.B. Formiga Física, Astronomía y Matemáticas Frenet Born rigidity Dirac equation Serret formalism accelerated frames The role played by non-inertial frames in physics is one of the most interesting subjects that we can study when dealing with a physical theory. This is especially true for special relativity and the Dirac theory In the case of special relativity, a problem with the concept of rigidity emerged as soon as Max Born gave a reasonable definition of rigid motion: the Herglotz-Noether theorem imposes a strong restriction on the possible rigid motions. In this paper, the equivalence of this theorem with another one that is formulated with the help of Frenet-Serret formalism is proved, showing the connection between the rigid motion and the curvatures of the observer’s trajectory in spacetime. Besides, the Dirac equation in the Frenet-Serret frame for an arbitrary observer is obtained and applied to the rotating observers. The solution in the rotating frame is given in terms of that of an inertial one. 2020 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082932007 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.66 |
| title | The Frenet-Serret description of Born rigidity and its application to the Dirac equation |
| topic | Física, Astronomía y Matemáticas Frenet Born rigidity Dirac equation Serret formalism accelerated frames |
| url | https://www.redalyc.org/articulo.oa?id=57082932007 |