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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 28, Number 1, Pages 127–138 (Mi tmf3359)  

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

Some inequalities for mean values in statistical mechanics

V. N. Plechko
References:
Abstract: Some new upper bounds are proved for mean values of the form $\langle\operatorname{BB^+}\rangle$ in equilibrium statistical mechanics. As an illustration, a rigorous upper bound is obtained for the mean kinetic energy of a molecule of a quantum system of distinguishable particles and some majorizing estimates are considered in the method of approximating Hamiltonians of N. N. Bogolyubov (Jr.).
Received: 17.11.1975
English version:
Theoretical and Mathematical Physics, 1976, Volume 28, Issue 1, Pages 677–685
DOI: https://doi.org/10.1007/BF01028921
Bibliographic databases:
Language: Russian
Citation: V. N. Plechko, “Some inequalities for mean values in statistical mechanics”, TMF, 28:1 (1976), 127–138; Theoret. and Math. Phys., 28:1 (1976), 677–685
Citation in format AMSBIB
\Bibitem{Ple76}
\by V.~N.~Plechko
\paper Some inequalities for mean values in statistical mechanics
\jour TMF
\yr 1976
\vol 28
\issue 1
\pages 127--138
\mathnet{http://mi.mathnet.ru/tmf3359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=462391}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 28
\issue 1
\pages 677--685
\crossref{https://doi.org/10.1007/BF01028921}
Linking options:
  • https://www.mathnet.ru/eng/tmf3359
  • https://www.mathnet.ru/eng/tmf/v28/i1/p127
  • This publication is cited in the following 3 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:257
    Full-text PDF :94
    References:37
    First page:1
     
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