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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 1, Pages 103–120 (Mi tmf1570)  
This article is cited in 6 scientific papers (total in 6 papers)

Limits of applicability of the tight binding approximation

A. L. Mironov, V. L. Oleinik

St. Petersburg State University, Faculty of Physics
Full-text PDF (1444 kB) Citations (6)
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Abstract: The mathematical foundation of the tight binding approximation is given. Let $\lambda _0$ be a negative energy level of a real potential $q$. Then there exists an energy band for a one-dimensional chain with period $2T$ of the identical atoms which lies near $\lambda _0$. We study this band when $T$ tends to infinity.
Received: 22.02.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 1, Pages 457–469
DOI: https://doi.org/10.1007/BF01018800
Bibliographic databases:
Language: Russian
Citation: A. L. Mironov, V. L. Oleinik, “Limits of applicability of the tight binding approximation”, TMF, 99:1 (1994), 103–120; Theoret. and Math. Phys., 99:1 (1994), 457–469
Citation in format AMSBIB
\Bibitem{MirOle94}
\by A.~L.~Mironov, V.~L.~Oleinik
\paper Limits of applicability of the tight binding approximation
\jour TMF
\yr 1994
\vol 99
\issue 1
\pages 103--120
\mathnet{http://mi.mathnet.ru/tmf1570}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1302462}
\zmath{https://zbmath.org/?q=an:0849.34073}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 1
\pages 457--469
\crossref{https://doi.org/10.1007/BF01018800}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PU13400009}
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  • https://www.mathnet.ru/eng/tmf/v99/i1/p103
    • This publication is cited in the following 6 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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    References:82
    First page:1
     
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