Construction of Schrödinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913663053463552 |
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| author | Perepelkin, E. E. Sadovnikov, B. I. Inozemtseva, N. G. Klimenko, M. V. |
| author_facet | Perepelkin, E. E. Sadovnikov, B. I. Inozemtseva, N. G. Klimenko, M. V. |
| contents | On the basis of the first principle -- the law of probability conservation and the Helmholtz decomposition theorem the authors have succeeded to construct the Schrödinger, Pauli, Dirac equation, the Hamilton-Jacobi equation and the Maxwell equations. The approach described in this paper makes it possible to naturally connect the classical and quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13580 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Construction of Schrödinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge Perepelkin, E. E. Sadovnikov, B. I. Inozemtseva, N. G. Klimenko, M. V. Quantum Physics Mathematical Physics On the basis of the first principle -- the law of probability conservation and the Helmholtz decomposition theorem the authors have succeeded to construct the Schrödinger, Pauli, Dirac equation, the Hamilton-Jacobi equation and the Maxwell equations. The approach described in this paper makes it possible to naturally connect the classical and quantum systems. |
| title | Construction of Schrödinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2404.13580 |