23 citations · 108 across the 29 of their papers we have counts for
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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…
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…
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…
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…