23 citations · 51 across the 7 of their papers we have counts for
11 papers
PSI-Moyal equation
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
A full consideration of classical and quantum systems with radiation (electromagnetic/gravitational) requires the involvement of a mathematical description in the generalized phase…
The Wigner function negative value domains and energy function poles of the harmonic oscillator
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
For a quantum harmonic oscillator an explicit expression that describes the energy distribution as a coordinate function is obtained. The presence of the energy function poles is s…
Extended Wigner function for the harmonic oscillator in the phase space
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
New time dependent Wigner functions for the quantum harmonic oscillator have been obtained in this work. The Moyal equation for the harmonic oscillator has been presented as the wa…
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…
The Vlasov equation correct application based on the higher orders kinematic values for the dissipative systems description
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
This paper revises traditional phenomenological approaches to the application of Vlasov equation to describe the dissipative systems. The original equation by A.A. Vlasov obtained…
A new class of exact solutions of the Schrodinger equation
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
The aim of this paper is to find the exact solutions of the Schrodinger equation. As is known, the Schrodinger equation can be reduced to the continuum equation. In this paper, usi…