# Calculation of Energy States of Excitons in Square Quantum Wells

## Abstract

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.

- Authors:

- St. Petersburg State University, Department of Computational Physics (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22749968

- Resource Type:
- Journal Article

- Journal Name:
- Semiconductors

- Additional Journal Information:
- Journal Volume: 52; Journal Issue: 5; Other Information: Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7826

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; EXCITONS; FINITE DIFFERENCE METHOD; GALLIUM ARSENIDES; QUANTUM WELLS; RADIATIVE DECAY; THREE-DIMENSIONAL LATTICES

### Citation Formats

```
Belov, P. A., E-mail: pavelbelov@gmail.com.
```*Calculation of Energy States of Excitons in Square Quantum Wells*. United States: N. p., 2018.
Web. doi:10.1134/S1063782618050032.

```
Belov, P. A., E-mail: pavelbelov@gmail.com.
```*Calculation of Energy States of Excitons in Square Quantum Wells*. United States. doi:10.1134/S1063782618050032.

```
Belov, P. A., E-mail: pavelbelov@gmail.com. Tue .
"Calculation of Energy States of Excitons in Square Quantum Wells". United States. doi:10.1134/S1063782618050032.
```

```
@article{osti_22749968,
```

title = {Calculation of Energy States of Excitons in Square Quantum Wells},

author = {Belov, P. A., E-mail: pavelbelov@gmail.com},

abstractNote = {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.},

doi = {10.1134/S1063782618050032},

journal = {Semiconductors},

issn = {1063-7826},

number = 5,

volume = 52,

place = {United States},

year = {2018},

month = {5}

}

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