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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 303, Pages 279–320 (Mi znsl912)  
This article is cited in 20 scientific papers (total in 20 papers)

Absolute continuity of the spectrum of two-dimensional periodic Schrödinger operators with strongly subordinate magnetic potential

R. G. Shterenberg

Saint-Petersburg State University
Full-text PDF (382 kB) Citations (20)
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Abstract: A two-dimensional periodic magnetic Schrödinger operator with variable metric is considered. It is shown that under the condition of strong subordination of the magnetic potential the spectrum of the operator is absolutely continuous. A similar result concerning the Schrödinger operator in a simply connected periodic waveguide is also formulated.
Received: 10.07.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 4, Pages 4087–4109
DOI: https://doi.org/10.1007/s10958-005-0344-3
Bibliographic databases:
UDC: 517.948
Language: Russian
Citation: R. G. Shterenberg, “Absolute continuity of the spectrum of two-dimensional periodic Schrödinger operators with strongly subordinate magnetic potential”, Investigations on linear operators and function theory. Part 31, Zap. Nauchn. Sem. POMI, 303, POMI, St. Petersburg, 2003, 279–320; J. Math. Sci. (N. Y.), 129:4 (2005), 4087–4109
Citation in format AMSBIB
\Bibitem{Sht03}
\by R.~G.~Shterenberg
\paper Absolute continuity of the spectrum of two-dimensional periodic Schr\"odinger operators with strongly subordinate magnetic potential
\inbook Investigations on linear operators and function theory. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 303
\pages 279--320
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl912}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2037543}
\zmath{https://zbmath.org/?q=an:1148.35338}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 4
\pages 4087--4109
\crossref{https://doi.org/10.1007/s10958-005-0344-3}
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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