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Proceedings Paper

Boundary element modeling of quantum structures
Author(s): Fred Gelbard; Kevin J. Malloy
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Paper Abstract

Remarkably few applications of boundary element techniques to the solution of Schroedinger's equation have been reported. However, use of boundary elements can reduce the dimensionality by one, and the increased computational efficiencies enable one to compute eigenstates and eigenvalues of 3D quantum dots on desktop PCs. In this work, we introduce the boundary element technique and describe the single band quantum mechanical properties of various quantum dot and quantum wire configurations. The observed behavior of coupled quantum structures results in the equivalent of molecular bonding and antibonding states. Extensions of the method are developed with a numerical perturbation technique for spatially varying potentials, such as the influence of an electric field on quantum wires. Excellent agreement with an exact solution for a quantum wire is reported.

Paper Details

Date Published: 9 July 2001
PDF: 12 pages
Proc. SPIE 4283, Physics and Simulation of Optoelectronic Devices IX, (9 July 2001); doi: 10.1117/12.432564
Show Author Affiliations
Fred Gelbard, CHTM/Univ. of New Mexico (United States)
Kevin J. Malloy, CHTM/Univ. of New Mexico (United States)

Published in SPIE Proceedings Vol. 4283:
Physics and Simulation of Optoelectronic Devices IX
Yasuhiko Arakawa; Peter Blood; Marek Osinski, Editor(s)

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