Resolving the paradox of the Dirac equation: phenomenology
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909512942747648 |
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| author | Timashev, Serge F. |
| author_facet | Timashev, Serge F. |
| contents | Based on the results of F. Wilf on the need to take into account the quantum-mechanical correspondence rules in the Dirac equation for an electron, it was shown that the equation obtained by giving physical meaning to $α$-Dirac operators should be considered as a phenomenological equation for a particle of non-zero size - the EM polaron, previously introduced by the author. This allows a solution to be found to the inherent paradox of the Dirac equation, which consists of the equality of the velocity of the moving particles to the speed of light $c$ in a vacuum, which is a priori unobtainable, and to understand the physical essence of spin as the intrinsic mechanical moment of an EM polaron. It is also shown that the Dirac-Wilf equation for a single spatial dimension can be considered a generalization of the Schrodinger equation for relativistic energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08009 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resolving the paradox of the Dirac equation: phenomenology Timashev, Serge F. General Physics Based on the results of F. Wilf on the need to take into account the quantum-mechanical correspondence rules in the Dirac equation for an electron, it was shown that the equation obtained by giving physical meaning to $α$-Dirac operators should be considered as a phenomenological equation for a particle of non-zero size - the EM polaron, previously introduced by the author. This allows a solution to be found to the inherent paradox of the Dirac equation, which consists of the equality of the velocity of the moving particles to the speed of light $c$ in a vacuum, which is a priori unobtainable, and to understand the physical essence of spin as the intrinsic mechanical moment of an EM polaron. It is also shown that the Dirac-Wilf equation for a single spatial dimension can be considered a generalization of the Schrodinger equation for relativistic energies. |
| title | Resolving the paradox of the Dirac equation: phenomenology |
| topic | General Physics |
| url | https://arxiv.org/abs/2404.08009 |