Abstract
Numerical modeling of energy levels and corresponding wave functions of exciton states in heterostructures with GaAs/Al\(_{0.30}\)Ga\(_{0.70}\)As quantum wells of different widths is performed. The modeling is based on an accurate finite-difference solution of the time-independent three-dimensional Schrödinger equation. A dependence of energy levels on a quantum well width as a parameter is studied. The calculated exciton states are classified according to their quantum-confinement and Coulomb nature. The radiative decay rates of the modeled states are also obtained.
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Acknowledgements
Financial support from RFBR (grants No. 18-32-00568 and No. 18-02-00492) is acknowledged. The calculations were performed on resources of the Computational Center of St. Petersburg State University.
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Belov, P.A., Yakovlev, S.L. (2020). Energy Levels of Excitons in Square Quantum Wells. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_6
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DOI: https://doi.org/10.1007/978-3-030-32357-8_6
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