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TitleClosed form solution for a double quantum well using Gr\"obner basis.
Author(s) Abramov S. A., A. Dargys
TypeArticle in Journal
AbstractAnalytical expressions for the spectrum, eigenfunctions and dipole matrix elements of a square double quantum well (DQW) are presented for a general case when the potential in different regions of the DQW has different heights and the effective masses are different. This was achieved by using a Gr?bner basis algorithm that allowed us to disentangle the resulting coupled polynomials without explicitly solving the transcendental eigenvalue equation.
ISSN0031-8949; 1402-4896/e
URL http://iopscience.iop.org/article/10.1088/0031-8949/84/01/015703/meta
LanguageEnglish
JournalPhys. Scr.
Volume84
Number1
Pages5
PublisherIOP Publishing, Bristol, Great Britain
Year2011
Edition0
Translation No
Refereed No
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