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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 48, Number 1, Pages 60–69 (Mi tmf4472)  

This article is cited in 6 scientific papers (total in 6 papers)

Peierls-Fröhlich problem and potentials with finite number of gaps. II

E. D. Belokolos
References:
Abstract: A generalized Peierls–Fröhlich problem on the formation of a forbidden band in the energy spectrum of electrons due to the deformation of a potential which originally has $n$ bands is formulated. It is shown that the solutions to this problem, which are the extremals of the generalized functional of the Peierls–Fröhlich free energy, form a $(n+1)$-parameter manifold of $(n+1)$-gap potentials. Equations are obtained which the boundaries of the gaps of these potentials satisfy. It is shown that the motions on the manifold of solutions of the considered problem described by Korteweg–de Vries equations are Fröhlieh collective modes. The theory makes it possible to describe phase transitions of a lattice between periodic and quasiperiodie structures.
Received: 09.06.1980
English version:
Theoretical and Mathematical Physics, 1981, Volume 48, Issue 1, Pages 604–610
DOI: https://doi.org/10.1007/BF01037985
Bibliographic databases:
Language: Russian
Citation: E. D. Belokolos, “Peierls-Fröhlich problem and potentials with finite number of gaps. II”, TMF, 48:1 (1981), 60–69; Theoret. and Math. Phys., 48:1 (1981), 604–610
Citation in format AMSBIB
\Bibitem{Bel81}
\by E.~D.~Belokolos
\paper Peierls-Fr\"ohlich problem and potentials with finite number of gaps.~II
\jour TMF
\yr 1981
\vol 48
\issue 1
\pages 60--69
\mathnet{http://mi.mathnet.ru/tmf4472}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=630270}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 48
\issue 1
\pages 604--610
\crossref{https://doi.org/10.1007/BF01037985}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981ND61200007}
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  • https://www.mathnet.ru/eng/tmf4472
  • https://www.mathnet.ru/eng/tmf/v48/i1/p60
    Cycle of papers
    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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    Abstract page:332
    Full-text PDF :138
    References:55
    First page:2
     
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