Simulation and analytical modeling of quantum gas dynamics taking into account the temperature and electric fields and frictional forces

Nekrasov, S.; Chernoivan, D.

doi:10.31857/S023408790001937-4

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Matematicheskoe modelirovanie

Number 12

Simulation and analytical modeling of quantum gas dynamics taking into account the temperature and electric fields and frictional forces

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Simulation and analytical modeling of quantum gas dynamics taking into account the temperature and electric fields and frictional forces

PII

S023408790001937-4-1

DOI

10.31857/S023408790001937-4

Publication type

Article

Status

Published

Authors

S. Nekrasov

Affiliation: South-Russian State Polytechnic University
Address: Russian Federation

D. Chernoivan

Affiliation: South-Russian State Polytechnic University
Address: Russian Federation

Journal name

Matematicheskoe modelirovanie

Edition

Volume 30 Number 12

Pages

63-83

Abstract

This article examines the issues of calculation of quantum mechanical systems based on stochastic interpretation of the Schrödinger equation. A method for the approximate solution of the equations of quantum mechanics based on the method of simulation of the dynamics of quantum particles as Brownian motion and the quantum hydrodynamics methods are described. An example of simulation of rarefied gas of quantum particles is considered. The influence of the form factor of the initial distribution of the gas density, temperature and parameters of the compute method are studied.

Keywords

quantum gas, Schrödinger equation, stochastic interpretation of Langevin equation, simulation, quantum hydrodynamics

Received

10.11.2018

Publication date

30.11.2018

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GOST	Nekrasov S., Chernoivan D. Simulation and analytical modeling of quantum gas dynamics taking into account the temperature and electric fields and frictional forces // Matematicheskoe modelirovanie – 2018. – V. 30. – Number 12 C. 63-83 [Electronic resource]. URL: http://ras.jes.su/mmod/s207987840001168-3-1-en (circulation date: 20.04.2024). DOI: 10.31857/S023408790001937-4
MLA	Nekrasov, S., Chernoivan, D. "Simulation and analytical modeling of quantum gas dynamics taking into account the temperature and electric fields and frictional forces." Matematicheskoe modelirovanie 30.12 (2018):63-83. DOI: 10.31857/S023408790001937-4
APA	Nekrasov S., Chernoivan D. (2018). Simulation and analytical modeling of quantum gas dynamics taking into account the temperature and electric fields and frictional forces. Matematicheskoe modelirovanie 30(12), pp.63-83 DOI: 10.31857/S023408790001937-4

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