Self-consistent Maxwell-Pauli theory

Rashkovskiy, Sergey A.

doi:10.1007/s12648-023-02760-6

Indian J Phys

2023

DOI: 10.1007/s12648-023-02760-6

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Self-consistent Maxwell-Pauli theory

Sergey A. Rashkovskiy

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2024

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Cited by 2 publications

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Self-consistent Maxwell-Dirac theory

Rashkovskiy

2024

Indian J Phys

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We show that quantum mechanics can be constructed as a classical field theory that correctly describes all basic quantum effects, by combining the Maxwell and Dirac equations. It is shown that for a self-consistent union of the Maxwell and Dirac equations into a unified classical field theory, it is necessary to introduce an additional short-range tensor field, which compensates the intrinsic electrostatic field of the electron wave inside the atom. For the combined Maxwell-Dirac field, the stress-energy tensor is constructed. We show that in the nonrelativistic limit this theory naturally transforms into the self-consistent Maxwell-Pauli theory and allows describing all basic quantum effects in the framework of classical field theory without any quantization.

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Self-consistent Maxwell-Dirac theory

Rashkovskiy

2024

Indian J Phys

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Nonlinear Pauli equation

Rashkovskiy

2024

CAM

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<abstract> <p>In the framework of the self-consistent Maxwell-Pauli theory, the non-linear Pauli equation is obtained. Stationary and nonstationary solutions of the nonlinear Pauli equation for the hydrogen atom are studied. We show that spontaneous emission and the related rearrangement of the internal structure of an atom, which is traditionally called a spontaneous transition, have a simple and natural description in the framework of classical field theory without any quantization and additional hypotheses. The behavior of the intrinsic magnetic moment (spin) of an EW in an external magnetic field is considered. We show that, according to the self-consistent Maxwell-Pauli theory, in a weak magnetic field, the intrinsic magnetic moment of an EW is always oriented parallel to the magnetic field strength vector, while in a strong magnetic field, depending on the initial orientation of the intrinsic magnetic moment, two orientations are realized: either parallel or antiparallel to the magnetic field strength vector.</p> </abstract>

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Self-consistent Maxwell-Pauli theory

Cited by 2 publications

References 25 publications

Self-consistent Maxwell-Dirac theory

Self-consistent Maxwell-Dirac theory

Nonlinear Pauli equation

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