Construction of Schrödinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge
- URL: http://arxiv.org/abs/2404.13580v3
- Date: Thu, 23 Jan 2025 19:52:25 GMT
- Title: Construction of Schrödinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge
- Authors: E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva, M. V. Klimenko,
- Abstract summary: The authors have succeeded to construct the Schr"odinger, Pauli, Dirac equation, the Hamilton-Jacobi equation and the Maxwell equations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: On the basis of the first principle -- the law of probability conservation and the Helmholtz decomposition theorem the authors have succeeded to construct the Schr\"odinger, 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.
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