RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


TMF, 1980, Volume 42, Number 1, Pages 88–100 (Mi tmf3725)  

This article is cited in 4 scientific papers (total in 4 papers)

Statistical mechanics of quantum-classical systems. Nonequilibrium systems

V. I. Gerasimenko, D. Ya. Petrina


Abstract: Evolution of infinite quantum-classical systems is studied. Chain of equations is derived which is a generalization of the Bogoliubov chain of equations for quantum and classical nonequilibrium systems. The Cauchy problem for this chain of equations is solved in the Banach space of sequences of summable functions.

Full text: PDF file (1490 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1980, 42:1, 58–66

Bibliographic databases:

Received: 10.10.1978

Citation: V. I. Gerasimenko, D. Ya. Petrina, “Statistical mechanics of quantum-classical systems. Nonequilibrium systems”, TMF, 42:1 (1980), 88–100; Theoret. and Math. Phys., 42:1 (1980), 58–66

Citation in format AMSBIB
\Bibitem{GerPet80}
\by V.~I.~Gerasimenko, D.~Ya.~Petrina
\paper Statistical mechanics of~quantum-classical systems. Nonequilibrium systems
\jour TMF
\yr 1980
\vol 42
\issue 1
\pages 88--100
\mathnet{http://mi.mathnet.ru/tmf3725}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=561005}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 42
\issue 1
\pages 58--66
\crossref{https://doi.org/10.1007/BF01019261}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980KA96200010}


Linking options:
  • http://mi.mathnet.ru/eng/tmf3725
  • http://mi.mathnet.ru/eng/tmf/v42/i1/p88

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. K. Vidybida, “Hierarchy of BBGKY equations for one-dimensional systems of particles with hard core”, Theoret. and Math. Phys., 48:2 (1981), 721–729  mathnet  crossref  mathscinet  isi
    2. V. I. Gerasimenko, “Dynamical equations of quantum-classical systems”, Theoret. and Math. Phys., 50:1 (1982), 49–55  mathnet  crossref  mathscinet  isi
    3. D. Ya. Petrina, V. I. Gerasimenko, “A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics”, Russian Math. Surveys, 38:5 (1983), 1–61  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. È. G. Petrov, V. I. Teslenko, “Kinetic equations for a quantum dynamical system interacting with a thermal reservoir and a random field”, Theoret. and Math. Phys., 84:3 (1990), 986–995  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:240
    Full text:76
    References:22
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019