Bulletin of Kyrgyz State University named after I Arabaev

MODELING THE MOTION OF AN ELECTRON IN A POTENTIAL WELL OF FINITE DEPTH

Maralbek Ch. Oskonbaev, K. Osmonaliev, P.Zh. Kozhobekova, A. Urustom kyzy

Published Jun 27, 2025• 0 citations

Abstract

The process of mathematical modeling of the electron motion in a potential well of finite depth using a virtual laboratory is considered. Despite the fact that quantum physics has existed for more than a century, its laws were studied only with the help of mathematical formulas, and the probability density of the wave function describing the microparticle was determined. With the help of mathematical formulas, the values of discrete energy distributions, as well as the wave function of the microparticle, were determined. In this scientific article, a wave function of electron motion in a finite potential well and its discreteness relative to the values of energy quantum numbers are obtained using a special program. If the principal quantum number is equal to one, the wave function has only one curve, if the principal quantum number is equal to two, it has a curve with two peaks, if the principal quantum number is equal to three, it has a curve with three peaks, and if the principal quantum number is equal to four, it has a curve with four peaks. Between each quantum number, there are no values of the wave function density, which corresponds to forbidden zones, while in the areas where there is a w

DOI: 10.33514/1694-7851-2025-2/2-513-520

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