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Publisher DOI: 10.1016/
Title: Iterative projection methods for computing relevant energy states of a quantum dot
Language: English
Authors: Voß, Heinrich 
Keywords: quantum dot;electron states;rational eigenproblem;Arnoldi method;Jacobi-Davidson method
Issue Date: Aug-2005
Source: Preprint. Published in Journal of computational physics.Volume 217, Issue 2, 20 September 2006, Pages 824-833
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 92
Abstract (english): 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.
DOI: 10.15480/882.57
Institute: Mathematik E-10 
Type: Preprint (Vorabdruck)
License: In Copyright In Copyright
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