Modeling a quantum harmonic oscillator using Julia

In this paper we verified the applicability and usability of Julia programming language in the field of numerical simulation. To research the potential of Julia, the simplest problem of mathematical modeling was considered'the task of a quantum harmonic oscillator, for the solution of which the powerful library DifferentialEquations.jl was used. This library allows to quickly and conveniently find numerical solutions of various differential equations. During our research graphs and solutions corresponding to theoretical values were obtained. As a result of the work, the applicability, capabilities of the Julia programming language and the convenience of its use in solving mathematical modeling problems were shown. © 2020 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0). CEUR Workshop Proceedings (CEUR-WS.org)