Reconstruction of potentials in quantum dots and other small symmetric structures
KV Khmelnytskaya… - Mathematical methods in …, 2010 - Wiley Online Library
KV Khmelnytskaya, TV Torchynska
Mathematical methods in the applied sciences, 2010•Wiley Online LibraryA 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.
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.
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.
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