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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 78, Number 1, Pages 70–80 (Mi tmf4717)  

This article is cited in 5 scientific papers (total in 5 papers)

Stark effect for a difference Schrödinger operator

E. I. Dinaburg
Full-text PDF (964 kB) Citations (5)
References:
Abstract: The tight-binding model of electron motion in an uniform electric field is considered and the spectrum of the corresponding Schrödinger operator perturbed by the potential of an ideal crystallic lattice or the potential rapidly decreasing at infinity. It is shown that for typical directions of the stress vector of the electric field with respect to the basis vectors of the lattice the Schrodinger operator has the purely point and everywhere dense spectrum if the perturbations are small.
Received: 18.06.1987
English version:
Theoretical and Mathematical Physics, 1989, Volume 78, Issue 1, Pages 50–57
DOI: https://doi.org/10.1007/BF01016916
Bibliographic databases:
Language: Russian
Citation: E. I. Dinaburg, “Stark effect for a difference Schrödinger operator”, TMF, 78:1 (1989), 70–80; Theoret. and Math. Phys., 78:1 (1989), 50–57
Citation in format AMSBIB
\Bibitem{Din89}
\by E.~I.~Dinaburg
\paper Stark effect for a~difference Schr\"odinger operator
\jour TMF
\yr 1989
\vol 78
\issue 1
\pages 70--80
\mathnet{http://mi.mathnet.ru/tmf4717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=987413}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 78
\issue 1
\pages 50--57
\crossref{https://doi.org/10.1007/BF01016916}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989AL44300007}
Linking options:
  • https://www.mathnet.ru/eng/tmf4717
  • https://www.mathnet.ru/eng/tmf/v78/i1/p70
  • This publication is cited in the following 5 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
    Statistics & downloads:
    Abstract page:270
    Full-text PDF :89
    References:45
    First page:1
     
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