Open AccessCalculation of energy states of excitons in square quantum wells
Author(s) -
Pavel A. Belov
Publication year - 2018
Publication title -
fizika i tehnika poluprovodnikov
Language(s) - English
Resource type - Journals
eISSN - 1726-7315
pISSN - 0015-3222
DOI - 10.21883/ftp.2018.05.45839.28
Subject(s) - exciton , hamiltonian (control theory) , excited state , quantum well , physics , energy operator , schrödinger equation , quantum mechanics , wave function , biexciton , formalism (music) , envelope (radar) , radiative transfer , quantum electrodynamics , condensed matter physics , energy (signal processing) , mathematics , art , mathematical optimization , laser , musical , radar , telecommunications , computer science , visual arts
The ground and excited energy states of excitons in single square GaAs-based quantum wells are found by the numerical solution of the three-dimensional Schrödinger equation. This equation is obtained within the envelope-function formalism from the exciton energy operator using the spherical approximation of the Luttinger Hamiltonian. Precise results for the exciton states are achieved by the finite-difference method. The radiative decay rates of the calculated states are also determined.