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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 13, Number 3, Pages 391–405 (Mi tmf3276)  
This article is cited in 12 scientific papers (total in 12 papers)

On solutions of Bogolyubov's kinetic equations quantum statistics

D. Ya. Petrina
Full-text PDF (1699 kB) Citations (12)
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Abstract: Bogolyubov's kinetic equations are studied for quantum statistics. A method proposed by Bogolyubov is used to investigate the solutions of the kinetic equations in a Banach space consisting of sequences of nuclear operators in the state space. This makes it possible to construct solutions of the kinetic equations in a finite volume for physically meaningful initial conditions. Weak, or smeared, solutions are constructed in the space of bounded operators.
Received: 23.12.1971
English version:
Theoretical and Mathematical Physics, 1972, Volume 13, Issue 3, Pages 1218–1228
DOI: https://doi.org/10.1007/BF01036147
Bibliographic databases:
Language: Russian
Citation: D. Ya. Petrina, “On solutions of Bogolyubov's kinetic equations quantum statistics”, TMF, 13:3 (1972), 391–405; Theoret. and Math. Phys., 13:3 (1972), 1218–1228
Citation in format AMSBIB
\Bibitem{Pet72}
\by D.~Ya.~Petrina
\paper On solutions of Bogolyubov's kinetic equations quantum statistics
\jour TMF
\yr 1972
\vol 13
\issue 3
\pages 391--405
\mathnet{http://mi.mathnet.ru/tmf3276}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=469017}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 13
\issue 3
\pages 1218--1228
\crossref{https://doi.org/10.1007/BF01036147}
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  • https://www.mathnet.ru/eng/tmf/v13/i3/p391
    • This publication is cited in the following 12 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:41
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