Schrödinger equation in phase space based on the Vlasov-Moel approximation

E. E. Perepelkin$^{1,2}$, B. I. Sadovnikov$^1$, N. G. Inozemtseva$^{2,3}$, E. V. Burlakov$^{1,2}$

Memoirs of the Faculty of Physics 2020. N 4.

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The paper provides a comparative analysis of three options for constructing the Schrödinger equation in phase space: the Torres-Vega method, from the Vlasov equation and the Moel equation. Each approach gives its own version of the Schrödinger equation in phase space. Exact solutions corresponding to a quantum harmonic oscillator are considered for each equation.

Received: 2020 October 1

Approved: 2020 November 17

PACS:

05.20.Dd Kinetic theory
03.65.Wj State reconstruction, quantum tomography
05.30.-d Quantum statistical mechanics

Authors

E. E. Perepelkin$^{1,2}$, B. I. Sadovnikov$^1$, N. G. Inozemtseva$^{2,3}$, E. V. Burlakov$^{1,2}$
$^1$2- Центр квантовых технологий МГУ имени М.В.Ломоносова,\
$^2$Moscow Technical University of Communications and Informatics\
$^3$State university "Dubna"

Issue 4, 2020

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