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Algebra i Analiz, 2012, Volume 24, Issue 6, Pages 178–195 (Mi aa1313)  
This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

Absolutely continuous spectrum of a one-parameter family of Schrödinger operators

O. Safronov

The University of North Carolina at Charlotte, Department of Mathematics and Statistics
Full-text PDF (248 kB) Citations (7)
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Abstract: Under certain conditions on the potential V, it is shown that the absolutely continuous spectrum of the Schrödinger operator −Δ+αV is essentially supported on [0,+∞) for almost every α∈R.
Keywords: Schrödinger operator, spectral measure, Fourier transform, selfadjoint operator.
Received: 07.06.2011
English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 6, Pages 977–989
DOI: https://doi.org/10.1090/S1061-0022-2013-01275-1
Bibliographic databases:
Document Type: Article
Language: English
Citation: O. Safronov, “Absolutely continuous spectrum of a one-parameter family of Schrödinger operators”, Algebra i Analiz, 24:6 (2012), 178–195; St. Petersburg Math. J., 24:6 (2013), 977–989
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:283
    Full-text PDF :73
    References:46
    First page:16
     
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