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Article
Modeling of impulse electric discharge propagation in a condensed dielectric
In the present paper, special features of electric discharge propagation in a condensed dielectric are considered. A mathematical model of growth of the discharge structure and operation of a high-voltage gene...
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Article
Investigation of Discharge Channel Elongation under Thermal Dielectric Breakdown
A mathematical model of the expansion of a discharge channel due to a growing electrothermal instability in a solid dielectric material under constant voltage is considered. The model describes temperature dyn...
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Article
Dynamics of the Thermal Instability Evolution in Dielectric Breakdown
A mathematical model of the dynamics of temperature, electric field strength, and charge density in thermal dielectric breakdown is examined. The characteristics of the evolution of a thermal instability initi...
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Article
Relation between the distribution of initiation sites of a discharge and the field nonuniformity at an electrode
The connection between the field nonuniformity at an electrode and the distribution of discharge initiation sites over its surface is described. The results of experiments on the breakdown of transformer oil i...
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Article
Fractal characteristics of near-electrode formations during electrical discharge in water
In this work we have investigated the characteristic features of optically dense near-electrode formations appearing during electrical discharge in water. We have established that they have a fractal surface. ...
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Article
Relationship between dielectric strength and the multifractal nature of charge distribution on the surface of an electrode
A study is made of the manner in which the nonuniformity of the charge distribution on the surface of an electrode affects the dependence of mean breakdown lag time on electrode area.
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Article
Interaction of electromagnetic waves with fractal structures
A review and analysis is presented of the state of theoretical and experimental investigations of the problem of the interaction of electromagnetic waves with different inhomogeneous media possessing fractal p...
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Article
Transmission of quantum particles through a one-dimensional fractal potential barrier
We consider scattering of a nonrelativistic quantum particle by a one-dimensional fractal potential barrier carried by a generalized Cantor set. We obtain recurrence relations for the reflection coefficient an...
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Article
Electromagnetic radiation of charges with fractal distribution
The radiation of charges with fractal distributions is studied in the framework of classical electrodynamics. The properties of the form factork(x) of the density of the fractal distribution are investigated. It ...
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Article
Investigation of Green's functions in an external electromagnetic field by the eigenfunction method
This paper contains a study of Green's functions in a quantum electrodynamics (QED) with an external electromagnetic field that disrupts vacuum stability. Representations are found for the Green's functions of...
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Article
Green's functions in an external electromagnetic field
The possibility is discussed of using eigenfunctions to find different propagators in quantum electrodynamics (QED) with an external electromagnetic field.
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Article
Lagrangian formulation of a general Hamiltonian theory with constraints
A Lagrangian formulation is constructed for a general Hamiltonian theory with constraints. A modification is proposed of the standard procedure of the “Hamiltonianization” of a Lagrangian theory in the case wh...
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Article
New exact solutions of the dirac equation. XII
The search for exact solutions of the Dirac equation begun in [1] is continued. We find three new types of external electromagnetic fields where the Dirac equation, Klein-Gordon equation, and classical Lorentz...
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Article
New exact solution of the Dirac equation. XI
A study in finding new exact solutions of relativistic wave equations, started in [1], is continued. Exact solutions of the Dirac, Klein-Gordon, and classical relativistic equations of motion in four new types...