On approximation of the eigenvalues of perturbed periodic Schrödinger operators

Lyonell Boulton, Michael Levitin

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This paper addresses the problem of computing the eigenvalues lying in the gaps of the essential spectrum of a periodic Schrödinger operator perturbed by a fast decreasing potential. We use a recently developed technique, the so-called quadratic projection method, in order to achieve convergence free from spectral pollution. We describe the theoretical foundations of the method in detail and illustrate its effectiveness by several examples. © 2007 IOP Publishing Ltd.

Original languageEnglish
Article number010
Pages (from-to)9319-9329
Number of pages11
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number31
DOIs
Publication statusPublished - 27 Jul 2007

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