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The amount of discrete spectrum of a perturbed periodic Schrodinger operator inside a fixed interval (lambda(1),lambda(2))
KTH, Superseded Departments, Mathematics.
2004 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 9, 411-423 p.Article in journal (Refereed) Published
Abstract [en]

Let A be a periodic Schrödinger operator and let V ≥ 0 be a decaying potential. We study the number of the eigenvalues of the operator A(α)=A−α V inside a fixed interval (λ12). We obtain an asymptotic formula for as α → ∞. In this paper we extend the results of Safronov (2001) for a more general class of perturbations.

Place, publisher, year, edition, pages
2004. no 9, 411-423 p.
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URN: urn:nbn:se:kth:diva-46078ISI: 000220354100001ScopusID: 2-s2.0-0742288891OAI: diva2:453459

QC 20111102

Available from: 2011-11-02 Created: 2011-11-02 Last updated: 2014-12-15Bibliographically approved

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