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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 43, Number 1, Pages 3–17 (Mi tmf2550)  
This article is cited in 4 scientific papers (total in 4 papers)

Generalized kinetic equation for a dynamical system interacting with a phonon field

N. N. Bogolyubov, N. N. Bogolyubov (Jr.)
Full-text PDF (1467 kB) Citations (4)
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Abstract: Derivation of the kinetic equation proposed in the paper [1] is generalised and methods of studying the electron-phonon system and excluding phonon operators from corresponding kinetic equation are formulated. In particular, the polaron kinetic equation is obtained for the interaction of the electron with the phonon field. If a certain approximation is made in this equation, it implies, for instance, the exact Boltzmann equation for the polaron.
Received: 16.10.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 43, Issue 1, Pages 283–292
DOI: https://doi.org/10.1007/BF01018458
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Bogolyubov, N. N. Bogolyubov (Jr.), “Generalized kinetic equation for a dynamical system interacting with a phonon field”, TMF, 43:1 (1980), 3–17; Theoret. and Math. Phys., 43:1 (1980), 283–292
Citation in format AMSBIB
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\by N.~N.~Bogolyubov, N.~N.~Bogolyubov (Jr.)
\paper Generalized kinetic equation for a~dynamical system interacting with a~phonon field
\jour TMF
\yr 1980
\vol 43
\issue 1
\pages 3--17
\mathnet{http://mi.mathnet.ru/tmf2550}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=570937}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 43
\issue 1
\pages 283--292
\crossref{https://doi.org/10.1007/BF01018458}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KR23100001}
Linking options:
  • https://www.mathnet.ru/eng/tmf2550
  • https://www.mathnet.ru/eng/tmf/v43/i1/p3
    • This publication is cited in the following 4 articles:
    1. G. F. Efremov, V. V. Sharkov, “Quantum statistical theory of radiation friction of a relativistic electron”, Theoret. and Math. Phys., 158:3 (2009), 406–421  mathnet  crossref  crossref  zmath  adsnasa  isi
    2. N. N. Bogolyubov (Jr.), D. P. Sankovich, “N. N. Bogolyubov and statistical mechanics”, Russian Math. Surveys, 49:5 (1994), 19–49  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. F.M. Peeters, J.T. Devreese, Solid State Physics, 38, 1984, 81  crossref
    4. G. O. Balabanyan, “Some questions in polaron theory”, Theoret. and Math. Phys., 50:2 (1982), 196–200  mathnet  mathnet  crossref  isi
    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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    Full-text PDF :162
    References:90
    First page:1
     
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