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TMF, 1983, Volume 57, Number 3, Pages 414–423 (Mi tmf2272)  

This article is cited in 4 scientific papers (total in 4 papers)

Spectrum and eigenfunctions of the Schrödinger operator in three-dimensional space with point potential of the type of a homogeneous two-dimensional lattice

Yu. E. Karpeshina


Abstract: The spectrum and all eigeafunctions of the Schrödinger operator in three-dimensional space with point potential of the type of a two-dimensional infinite rectangular lattice are studied.

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English version:
Theoretical and Mathematical Physics, 1983, 57:3, 1231–1238

Bibliographic databases:

Received: 28.01.1983

Citation: Yu. E. Karpeshina, “Spectrum and eigenfunctions of the Schrödinger operator in three-dimensional space with point potential of the type of a homogeneous two-dimensional lattice”, TMF, 57:3 (1983), 414–423; Theoret. and Math. Phys., 57:3 (1983), 1231–1238

Citation in format AMSBIB
\Bibitem{Kar83}
\by Yu.~E.~Karpeshina
\paper Spectrum and eigenfunctions of the Schr\"odinger operator in three-dimensional space with point potential of the type of a~homogeneous two-dimensional lattice
\jour TMF
\yr 1983
\vol 57
\issue 3
\pages 414--423
\mathnet{http://mi.mathnet.ru/tmf2272}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=735399}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 57
\issue 3
\pages 1231--1238
\crossref{https://doi.org/10.1007/BF01018751}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1983SY87100009}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. B. S. Pavlov, “The theory of extensions and explicitly-soluble models”, Russian Math. Surveys, 42:6 (1987), 127–168  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. Yu. P. Chuburin, “Scattering for the Schrödinger operator in the case of a crystal film”, Theoret. and Math. Phys., 72:1 (1987), 764–772  mathnet  crossref  mathscinet  isi
    3. P. B. Kurasov, B. S. Pavlov, “Electron in a homogeneous crystal of point atoms with internal structure. II”, Theoret. and Math. Phys., 74:1 (1988), 58–66  mathnet  crossref  mathscinet  isi
    4. St. Petersburg Math. J., 16:6 (2005), 923–942  mathnet  crossref  mathscinet  zmath
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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