Simulation and Analytical Modeling of Quantum Gas Dynamics Taking Into Account the Temperature and Electric Fields and Frictional Forces

Abstract

The article investigates the questions of calculating the dynamics of quantum gases on the basis of the stochastic interpretation of Schrödinger equation. A comparison of several appropriate methods for solve of equations of quantum mechanics – based on the method of simulating the dynamics of quantum particles as a Brownian motion, using an analytical solution of the equations of quantum hydrodynamics and directly the Schrödinger equation. An example of modeling the gas flow of quantum particles with allowance for the temperature and electric fields and friction forces is considered. The influence of the form factor of the initial distribution of the gas density, temperature, and parameters of the computational method is studied.