Classification of Energy States of the Exciton in Square Quantum Well
- Authors: Belov P.A.1
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Affiliations:
- Department of Computational Physics, St. Petersburg State University
- Issue: Vol 52, No 14 (2018)
- Pages: 1791-1794
- Section: Excitons in Nanostructures
- URL: https://journals.rcsi.science/1063-7826/article/view/204975
- DOI: https://doi.org/10.1134/S1063782618140038
- ID: 204975
Cite item
Abstract
The energy states of the exciton in a single square GaAs-based quantum well are obtained from a numerical solution of the three-dimensional Schrödinger equation for the envelope of the exciton wave function. This equation is based on the exciton effective energy operator with a spherical approximation of the Luttinger Hamiltonian. The calculated states are classified based on the types of one-dimensional functions for the factorized form of the wave function. The upper limit for the energies of the exciton states in a quantum well is confirmed by the complex scaling method.
About the authors
P. A. Belov
Department of Computational Physics, St. Petersburg State University
Author for correspondence.
Email: pavelbelov@gmail.com
Russian Federation, St. Petersburg, 198504