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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 2, Pages 243–253
DOI: https://doi.org/10.4213/tmf149 (Mi tmf149) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Spectrum and Eigenfunctions of the Two-Dimensional Schrödinger Operator with a Magnetic Field

Yu. P. Chuburin

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Full-text PDF (252 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf149
Abstract: We prove several theorems concerning the eigenfunctions and eigenvalues of the Schrödinger operator for a large constant magnetic field.
Keywords: Schrödinger operator, magnetic field, eigenfunction, eigenvalue.
Received: 11.01.2002
Revised: 17.07.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 2, Pages 212–221
DOI: https://doi.org/10.1023/A:1022228120876
Bibliographic databases:
Language: Russian
Citation: Yu. P. Chuburin, “The Spectrum and Eigenfunctions of the Two-Dimensional Schrödinger Operator with a Magnetic Field”, TMF, 134:2 (2003), 243–253; Theoret. and Math. Phys., 134:2 (2003), 212–221
Citation in format AMSBIB
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\paper The Spectrum and Eigenfunctions of the Two-Dimensional Schr\"odinger Operator with a Magnetic Field
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\issue 2
\pages 243--253
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\zmath{https://zbmath.org/?q=an:1178.81071}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 2
\pages 212--221
\crossref{https://doi.org/10.1023/A:1022228120876}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000181522200006}
Linking options:
  • https://www.mathnet.ru/eng/tmf149
  • https://doi.org/10.4213/tmf149
  • https://www.mathnet.ru/eng/tmf/v134/i2/p243
    • This publication is cited in the following 2 articles:
    1. Yu. P. Chuburin, “O dvumernom magnitnom operatore Shredingera v periodicheskom vneshnem pole”, Izv. IMI UdGU, 2006, no. 1(35), 77–82  mathnet
    2. Mouayn Z, “Characterization of two-dimensional Euclidean Landau states by coherent state transforms”, Journal of Physics A-Mathematical and General, 37:17 (2004), 4813–4819  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :239
    References:98
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