23 citations · 85 across the 21 of their papers we have counts for
21 papers
Exact solutions for the relativistic dynamics of a self-consistent system with electromagnetic and gravitational interaction within the Wigner-Vlasov formalism
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitation…
New exact solutions of the 3D Schrödinger equation
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
Previously we found a unique quantum system with a positive gauge-invariant Weyl-Stratonovich quasi-probability density function which can be defined by the so-called «quadratic fu…
Construction of Schrödinger, Pauli and Dirac equations from Vlasov equation in case of Lorentz gauge
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
On the basis of the first principle -- the law of probability conservation and the Helmholtz decomposition theorem the authors have succeeded to construct the Schrödinger, Pauli, D…
Investigation of the dynamics of transverse oscillations of a vertical rod under gravity, friction, and thermal expansion
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
The paper considers the mathematical formulation of the problem of transverse oscillations of a vertical rod under gravity, friction and external pulse effect, leading to thermal e…
Wigner function properties for electromagnetic systems
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
Using the Wigner-Vlasov formalism, an exact 3D solution of the Schrödinger equation for a scalar particle in an electromagnetic field is constructed. Electric and magnetic fields a…
Is the Moyal equation for the Wigner function a quantum analogue of the Liouville equation?
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +2
The Moyal equation describes the evolution of the Wigner function of a quantum system in the phase space. The right-hand side of the equation contains an infinite series with coeff…