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Vladimir Onoochin

Publications and source records attributed to Vladimir Onoochin.

9 recordsLinked to original sources
arXiv2025

What gauges can be used in applied electromagnetic calculations?

In the classical electrodynamics, different gauges, i.e. connections between the electromagnetic potentials, are used. Some of these are quite specific and intended for calculations in special systems (absence of free charges, etc.). All of these specific gauges are reductions of the Lorenz gauge. However, in addition to this gauge, two more, i.e., the Coulomb and velocity gauges, can be used to describe systems of charges and currents without any restrictions. It is commonly accepted opinion that these three gauges are equivalent, meaning that the expressions for electromagnetic fields obtained from the potentials defined in these gauges are identical. However, it can be shown that the Coulomb and velocity gauges yield solutions corresponding to `superluminal propagation' of the electric field. Since such a propagation of the electric field has not been observed experimentally and, moreover, is forbidden by special relativity, it can be concluded that calculations in these gauges may yield incorrect results. Therefore, these gauges cannot be used in applied electromagnetic calculations.

physics.gen-ph↗
arXiv2025

Comment on work of Yang and Nevels "Direct, analytic solution for the electromagnetic vector potential in any gauge" (arXiv:2507.02104)

In the Comment the procedure for obtaining a solution for the electromagnetic potential, presented in the cited work arxiv:2507.02104, is analyzed. It is shown that the solution obtained by the authors is based on some mathematically illegal operations. This argument is supported by a counterexample to equation (10) of the cited work. Direct calculations of the potentials in the Lorenz and Coulomb gauges show that equation (10) is not satisfied.

physics.class-ph↗
arXiv2024

On the ambiguity of solutions of the system of the Maxwell equations

This work, that is devoted to the memory of Dr. Andrew Chubykalo and his legacy, is the improved version of the paper published in Annales de la Fondation Louis de Broglie journal. In this article, methods for solving the Maxwell equations are analyzed. First, a method based on the direct differentiation of Maxwell's equations and their reduction to the wave equation for an electric field is considered in detail. It is shown that this method cannot give a closed-form solution that does not contain integrals. The other method, which is most often used by scientists, is based on the introduction of auxiliary quantities such as electromagnetic potentials. But rewriting the Maxwell equations via potentials requires the introduction of an additional constraint - the gauge condition. Some analysis of the expressions for the electric field obtained in two gauges, Coulomb and Lorenz gauges, shows that, contrary to the generally accepted opinion that expressions for the electromagnetic field should be identical in any gauge, the final expressions for the electric field differ in different gauges. Consequently, the uniqueness of the solution of the Maxwell equations is absent.

physics.gen-ph↗
arXiv2024

Physical meaning of electromagnetic mass and 4/3-problem

In this article one aspect of the so-called '4/3-problem' is analyzed, namely definitions of the electromagnetic mass of the classical electron. It is shown that if the special relativity definition of the electromagnetic (EM) mass as the ratio of the electromagnetic field energy to the square of the speed of light is correctly treated by the scientists who considered this probem, the second definition, which originated with Thomson, i.e. a coefficient of proportionality of the EM momentum of the particle and its velocity has another physical meaning. This meaning was explained by Frenkel in his textbook on clssical electrodynamics. According to this scientist, the second EM mass is actualy a self-inductance of the classical electron or the reaction of its magnetic field to a change in the velocity of this particle. Consequently, these two physical quantities have different meanings, and attempts to reduce the expression for one mass to an expression for the second mass have always been unsuccessful.

physics.gen-ph↗
arXiv2023

Some problem with the Lorentz transformations of energy and momentum of the electromagnetic field

In this work, it is shown that the energy and momentum of electromagnetic fields created by a classical charge, whose velocity varies with time, do not form four-vector. A possible explanation for this result is that the calculation of energy and momentum is performed as an integration of the densities of these quantities, {\it i.e.} the squares of the electromagnetic field $E^2$ and $H^2$ in the whole space at the hyperplane $t=const$. But $E^2$ and $H^2$, which are calculated at a fixed point in time, $t$, are all created at previous (retarded) instants of time. In other words, all densities $E^2$ and $H^2$ are independent of each other. Meanwhile, Lorentz transformations are defined as transformations between physically connected quantities.

physics.gen-ph↗
arXiv2023

On incorrectness of application of the Helmholtz decomposition to microscopic electrodynamics

The integral expressions served to decompose vector field into irrotational and divergence-free components represent modern version of the Helmholtz decomposition theorem. These expressions are also widely used to decompose the electromagnetic fields. However, an appropriate analysis of application of these expressions to electrodynamics shows that the improper integral arising in the procedure for calculating these components makes such a decomposition impossible.

physics.gen-ph↗
arXiv2002

On the theoretical possibility of the electromagnetic scalar potential wave spreading with an arbitrary velocity in vacuum

In this work we revisit the process of constructing wave equations for the scalar and vector potentials of an electromagnetic field, and show that a wave equation with an arbitrary velocity (including a velocity higher than the velocity of light in vacuum) for the scalar potential exists in the framework of classical electrodynamics. Some consequences of this fact are considered. It is shown (in the Appendix) at what point this work differs from works concerned of the problem of the gauge invariance in the classical electrodynamics.

physics.class-ph↗