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

S. A. Nekrasov, D. N. Chernoivan

South-Russian State Polytechnic University (Novocherkassk Polytechnic Institute)

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: 28.08.2017

 English version: Mathematical Models and Computer Simulations, 2019, 11:4, 581–595