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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 2, Pages 283–294 (Mi tmf1303)  

This article is cited in 10 scientific papers (total in 10 papers)

Spectrum of three-dimensional landau operator perturbed by a periodic point potential

V. A. Geiler, V. V. Demidov

Mordovian State University
References:
Abstract: A study is made of a three-dimensional Schrödinger operator with magnetic field and perturbed by a periodic sum of zero-range potentials. In the case of a rational flux, the explicit form of the decomposition of the resolvent of this operator with respect to the spectrum of irreducible representations of the group of magnetic translations is found. In the case of integer flux, the explicit form of the dispersion laws is found, the spectrum is described, and a qualitative investigation of it is made (in particular, it is established that not more than one gap exists).
Received: 07.07.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 2, Pages 561–569
DOI: https://doi.org/10.1007/BF02274034
Bibliographic databases:
Language: Russian
Citation: V. A. Geiler, V. V. Demidov, “Spectrum of three-dimensional landau operator perturbed by a periodic point potential”, TMF, 103:2 (1995), 283–294; Theoret. and Math. Phys., 103:2 (1995), 561–569
Citation in format AMSBIB
\Bibitem{GeiDem95}
\by V.~A.~Geiler, V.~V.~Demidov
\paper Spectrum of three-dimensional landau operator perturbed by a~periodic point potential
\jour TMF
\yr 1995
\vol 103
\issue 2
\pages 283--294
\mathnet{http://mi.mathnet.ru/tmf1303}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1470949}
\zmath{https://zbmath.org/?q=an:0856.35107}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 2
\pages 561--569
\crossref{https://doi.org/10.1007/BF02274034}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TD56100009}
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  • https://www.mathnet.ru/eng/tmf/v103/i2/p283
  • This publication is cited in the following 10 articles:
    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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