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math-ph2019★ 1 cited
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…
math-ph2015★ 23 cited
The properties of the first equation of the Vlasov chain of equations
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva
A mathematically rigorous derivation of the first Vlasov equation as a well-known Schrödinger equation for the probabilistic description of a system and families of the classic dif…