Iterative projection methods for computing relevant energy states of a quantum dot

Publikationstyp
Preprint
Publikationsdatum
2005-08
Sprache
English
Author
Voß, Heinrich 
Institut
Mathematik E-10 
DOI
10.15480/882.57
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/59
First published in
Preprints des Institutes für Mathematik 
Preprints des Institutes für Mathematik;Bericht 92
Number in series
92
Citation
Preprint. Published in Journal of computational physics.Volume 217, Issue 2, 20 September 2006, Pages 824-833
Publisher DOI
10.1016/j.jcp.2006.01.034
Scopus ID
2-s2.0-33748439983
A computational technique for computing relevant energy levels and corresponding wave functions of an electron confined by a 3D quantum dot embedded in a semiconductor matrix are studied. Assuming an energy and position dependent electron effective mass approximation this problem is governed by a rational eigenvalue problem. We discuss the application of iterative projection method of Arnoldi and Jacobi–Davidson type. Projected problems of small dimension are solved efficiently by safeguarded iteration.
Schlagworte
quantum dot
electron states
rational eigenproblem
Arnoldi method
Jacobi-Davidson method
DDC Class
510: Mathematik
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
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