Abstract

SEGOVIA, Francis Armando. Aplication of Schrodinger equation in low-dimensionality semiconducting heterostructures. Tecnura [online]. 2013, vol.17, n.37, pp.33-40. ISSN 0123-921X.

Abstract The research presented in the following paper concerns condensed matter areas in the feld of semiconductor physics. This research uses the basic principles of quantum mechanics, particularly effective mass approximation. The aim of this paper is to determine the energies of ground state as well as the energies of electron-hole transition when a semiconductor heterostructure GaAs-Ga1-xAlxAs is immersed in a barrier of Ga1-yAlyAs, by applying hydrostatic pressure. The methodology proposed in the present work analytically solves Schrodinger's second-order differential equation to find solutions and allow determining the corresponding differential equation together with the energies of transition in the ground state. This is accomplished through the application of hydrostatic pressure. The main results were obtained using software package Mathematica 5.0. Results indicate a regime of strong confinement for small widths of the potential well in semiconductor heterostructures, where the confinement potential lessens with pressure for the charge-carrier function (electron-hole). However, the findings demonstrate that, in the regime of weak confinement, the effects of hydrostatic pressure on the heights of the barrier are more significant, and there is also a reduction in carrier energies.

Keywords : Schrodinger equation; energy level of the ground state; hydrostatic pressure.

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