A four-dimensional differential Euler-Lagrange equation for continuously distributed
materials is derived based on the principle of least action, and instead of Lagrangian, this …

A relativistically invariant representation of the generalized momentum of a particle in an
external field is proposed. In this representation, the dependence of the potentials of the …

The Faraday law of electromagnetic induction for an arbitrarily moving charge is generalized
and the expression for the force acting on the charge in an alternating magnetic field is …

The detection of plane-polarized amplitude-modulated infrared laser radiation in a
transparent yttrium-iron garnet ferromagnet at room temperature is performed …

Relativistic invariant equations are proposed for the action function and the wave function
based on the invariance of the representation of the generalized momentum. The equations …

The canonical (non-parametric) solutions of the variational problems for integral functionals
are considered and the canonical solutions of variational problems of mechanics in …

A new relativistic theory of the classical motion of a charged particle in an electric field has
been developed. The resulting equations characterize the kinematic and dynamic features …

A spinor representation of the generalized energy-momentum density 4-vector is proposed,
and examples of such representations for various particles and fields are given. This …

A spinor representation of the generalized energy-momentum density 4-vector is proposed,
and examples of such representations for various particles and fields are given. This …

The nonlinear interaction of the electromagnetic waves in a transparent ferromagnetic
material was investigated. It is shown that in the variable magnetic field the magnetic …