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Nonlinear Pauli Equation
Version 1
: Received: 15 October 2022 / Approved: 17 October 2022 / Online: 17 October 2022 (04:52:02 CEST)
A peer-reviewed article of this Preprint also exists.
Rashkovskiy, S.A. Nonlinear Pauli Equation. Communications in Analysis and Mechanics 2024, 16, 94–120, doi:10.3934/cam.2024005. Rashkovskiy, S.A. Nonlinear Pauli Equation. Communications in Analysis and Mechanics 2024, 16, 94–120, doi:10.3934/cam.2024005.
Abstract
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 electron wave 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 electron wave 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.
Keywords
classical field theory; unified Maxwell-Pauli theory; non-linear Pauli equation; non-linear Schrödinger equation; spin behavior in a magnetic fiel
Subject
Physical Sciences, Particle and Field Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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