23 citations · 108 across the 29 of their papers we have counts for
9 papers · 1 filter
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…
Dispersion chain of quantum mechanics equations
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
Based on the dispersion chain of the Vlasov equations, the paper considers the construction of a new chain of equations of quantum mechanics of high kinematical values. The propose…
Dispersion chain of Vlasov equations
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
On the basis of the Vlasov chain of equations, a new infinite dispersion chain of equations is obtained for the distribution functions of mixed higher order kinematical values. In…
Universal density matrix for the phase space
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
In this paper, a new representation of the Wigner function for a quantum system in the phase space is proposed. The new representation is of the form $W=\operatorname{Sp}\left[ ρ\m…