1Namangan Engineering Construction Institute, 12 Islam Karimov Street, Namangan 160103, Uzbekistan 2Physical-Technical Institute, Uzbek Academy of Sciences, Chingiz Aytmatov Street, 2 “B”, Tashkent 100084, Uzbekistan 3Namangan State University,316 Uychi Street, Namangan 160136, Uzbekistan
Received: April 1, 2021 Accepted: June 14, 2021 Publication Date: July 6, 2021
Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.
In this work, the energy levels and wave functions in rectangular and cylindrical nanowires with a finite potential well are calculated. The Schrödinger equation in Cartesian and cylindrical coordinate systems was solved by the shooting method. The calculations take into account the nonparabolicity of the energy spectrum of electrons. The graphs of the dependence of the energy levels on the sizes of nanowires are obtained. When calculating the energy levels and wave functions, changes in the effective mass of electrons were taken into account. The calculations were performed for the quantum well of the InP/InAs/InP heterostructure.
Keywords: Nanowires, Quantum wells, Heterostructure, Energy levels, Wave function, Nonparabolic zone
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