4 papers
Investigation of the dynamics of transverse oscillations of a vertical rod under gravity, friction, and thermal expansion
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
The paper considers the mathematical formulation of the problem of transverse oscillations of a vertical rod under gravity, friction and external pulse effect, leading to thermal e…
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-Vlasov formalism for time-dependent quantum oscillator
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
This paper presents a comprehensive investigation of the problem of a harmonic oscillator with time-depending frequencies in the framework of the Vlasov theory and the Wigner funct…
Exact time-dependent solution of the Schrödinger equation, its generalization to the phase space and relation to the Gibbs distribution
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
Using the simplest but fundamental example, the problem of the infinite potential well, this paper makes an ideological attempt (supported by rigorous mathematical proofs) to appro…