Based on the results of F. Wilf on the need to take into account the quantum-mechanical correspondence rules in the Dirac equation for an electron, it was shown that the equation obtained by giving physical meaning to α-Dirac operators should be considered as a phenomenological equation for a particle of non-zero size - the EM polaron, previously introduced by the author. This allows a solution to be found to the inherent paradox of the Dirac equation, which consists of the equality of the velocity of the moving particles to the speed of light c in a vacuum, which is a priori unobtainable, and to understand the physical essence of spin as the intrinsic mechanical moment of an EM polaron. It is also shown that the Dirac-Wilf equation for a single spatial dimension can be considered a generalization of the Schrodinger equation for relativistic energies.
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С. Ф. Тимашев (2024) studied this question.
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