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TMF, 1987, Volume 72, Number 3, Pages 403–415 (Mi tmf5341)  

This article is cited in 3 scientific papers (total in 3 papers)

Electron in a homogeneous crystal of point atoms with internal structure. I

B. S. Pavlov


Abstract: Spectrum analysis of the Schrödinger operator is performed for the zero-range potential of the three-dimensional lattice type in the presence of internal structure. Inversion formulas are pointed out in which the quasi-momentum plays the part of spectrum analysis.

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English version:
Theoretical and Mathematical Physics, 1987, 72:3, 964–972

Bibliographic databases:

Received: 12.05.1986

Citation: B. S. Pavlov, “Electron in a homogeneous crystal of point atoms with internal structure. I”, TMF, 72:3 (1987), 403–415; Theoret. and Math. Phys., 72:3 (1987), 964–972

Citation in format AMSBIB
\Bibitem{Pav87}
\by B.~S.~Pavlov
\paper Electron in a~homogeneous crystal of point atoms with internal structure.~I
\jour TMF
\yr 1987
\vol 72
\issue 3
\pages 403--415
\mathnet{http://mi.mathnet.ru/tmf5341}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=936388}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 72
\issue 3
\pages 964--972
\crossref{https://doi.org/10.1007/BF01018303}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1987N097600008}


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  • http://mi.mathnet.ru/eng/tmf/v72/i3/p403

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    Cycle of papers

    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. B. S. Pavlov, “Boundary conditions on thin manifolds and the semiboundedness of the three-particle Schrödinger operator with pointwise potential”, Math. USSR-Sb., 64:1 (1989), 161–175  mathnet  crossref  mathscinet  zmath
    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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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