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Reconstruction of potentials in quantum dots and other small symmetric structures

✍ Scribed by Kira V. Khmelnytskaya; Tetyana V. Torchynska

Book ID
102510401
Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
136 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

A method for reconstructing symmetric potentials of Schrödinger
operators from a finite set of eigenvalues is presented. The method combines the approach developed by Rundell and Coworkers (SIAM Monographs on Mathematical Modeling and Computation. SIAM: Philadelphia, PA; (1997)) for solving inverse Sturm–Liouville problems with a recent result by Kravchenko (Complex Variables and Elliptic Equations 2008; 53(8):775–789) giving accurate solutions of direct problems.

Our construction allows one to recover the potential in situations of great importance in studying nanostructures including quantum dots when only a very limited number of eigenvalues (3–4) obtained experimentally is available. Copyright © 2009 John Wiley & Sons, Ltd.

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