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arXiv · 2404.13580

Construction of Schr\"odinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge

E. E. Perepelkin·B. I. Sadovnikov·N. G. Inozemtseva·M. V. Klimenko
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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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E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva, M. V. Klimenko. 2024-04-21. Construction of Schr\"odinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge. https://arxiv.org/abs/2404.13580

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