5 citations · 9 across the 5 of their papers we have counts for
5 papers
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…
The Wigner function negative value domains and energy function poles of the polynomial oscillator
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +2
For a quantum oscillator with the polynomial potential an explicit expression that describes the energy distribution as a coordinate (and momentum) function is obtained. The presen…
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…