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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...
