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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 193–205 (Mi tm3438)  
This article is cited in 1 scientific paper (total in 1 paper)

Magnetic Bloch theory and noncommutative geometry

A. G. Sergeev

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (214 kB) Citations (1)
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Abstract: An interpretation of the magnetic Bloch theory in terms of noncommutative geometry is given. As an application we obtain a mathematical interpretation of the quantum Hall effect.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00178
11-01-12033-ofi-m
Ministry of Education and Science of the Russian Federation NSh-7675.2010.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported in part by the Russian Foundation for Basic Research (project nos. 10-01-00178 and 11-01-12033-ofi-m-2011), by a grant of the President of the Russian Federation (project no. NSh-7675.2010.1), and by the scientific program "Nonlinear Dynamics" of the Presidium of the Russian Academy of Sciences.
Received in March 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 181–193
DOI: https://doi.org/10.1134/S0081543812080123
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Sergeev, “Magnetic Bloch theory and noncommutative geometry”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 193–205; Proc. Steklov Inst. Math., 279 (2012), 181–193
Citation in format AMSBIB
\Bibitem{Ser12}
\by A.~G.~Sergeev
\paper Magnetic Bloch theory and noncommutative geometry
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 193--205
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3438}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3086764}
\elib{https://elibrary.ru/item.asp?id=18447450}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 181--193
\crossref{https://doi.org/10.1134/S0081543812080123}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314063000012}
Linking options:
  • https://www.mathnet.ru/eng/tm3438
  • https://www.mathnet.ru/eng/tm/v279/p193
    • This publication is cited in the following 1 articles:
    1. A. G. Sergeev, “Applications of noncommutative geometry in function theory and mathematical physics”, Trans. Moscow Math. Soc., 81:2 (2020), 123–167  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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