28 citations · 173 across the 35 of their papers we have counts for
7 papers · 1 filter
Constrained Hamiltonian approach to the Maxwell theory
Dmitry S. Kulyabov, Anna V. Korolkova, Migran N. Gevorkyan +1
The most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism. From the superficial point of view, they are one and the same, but rewritten in othe…
Finslerian representation of the Maxwell equations
Dmitry S. Kulyabov, Anna V. Korolkova, Tatyana R. Velieva +1
When the Maxwell equations are geometrized, the Maxwell Lagrangian is usually reduced to the Yang-Mills Lagrangian. In this case, the effective quadratic metric, usually correspond…
Operator Approach to the Master Equation for the One-Step Process
M. Hnatich, E. G. Eferina, A. V. Korolkova +2
Presentation of the probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. The procedure of s…
Maxwell's Optics Symplectic Hamiltonian
D. S. Kulyabov, A. V. Korolkova, L. A. Sevastyanov
The Hamiltonian formalism is extremely elegant and convenient to mechanics problems. However, its application to the classical field theories is a difficult task. In fact, you can…
The simplest geometrization of Maxwell's equations
D. S. Kulyabov, A. V. Korolkova, L. A. Sevastyanov
For research in the field of transformation optics and for the calculation of optically inhomogeneous lenses the method of geometrization of the Maxwell equations seems to be persp…
Maxwell's Equations in Arbitrary Coordinate System
D. S. Kulyabov, A. V. Korolkova
The article is devoted to application of tensorial formalism for derivation of different types of Maxwell's equations. The Maxwell's equations are written in the covariant coordina…
Kink-like Configurations of Interacting Scalar, Electromagnetic, and Gravitational Fields
D. S. Kulyabov, Yu. P. Rybakov, G. N. Shikin +1
We have obtained exact kink-like static plane-symmetric solutions to the self-consistent system of electromagnetic, scalar, and gravitational field equations. It was shown that und…