6 papers
Kinematic properties of the Pauli equation
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
Based on the Wigner-Vlasov formalism, this paper investigates the kinematic properties of the Pauli equation. It is shown that the probability current associated with the Pauli equ…
The Maxwell class exact solutions to the Schrödinger equation and continuum mechanics models
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
By applying the nonlinear Legendre transform to the continuity equation, this paper derives exact solutions to the Schrödinger equation and the equations of continuum mechanics. A…
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…
Characteristic solutions of the chain of Vlasov equations
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
A new method has been presented of constructing a class of exact solutions of an infinite self-linking chain of the Vlasov equations for distribution functions of kinematic quantit…
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 f…
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,…