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Mathematics of the USSR-Izvestiya, 1985, Volume 24, Issue 1, Pages 151–182
DOI: https://doi.org/10.1070/IM1985v024n01ABEH001219 (Mi im1422) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Linear boson models of time evolution in quantum statistical mechanics

Yu. M. Sukhov
English version PDF (1645 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1985v024n01ABEH001219
Abstract: This paper contains a construction of time evolution for linear boson models of quantum statistical mechanics. The main result is a theorem on convergence to a quasifree moment functional in the course of linear time evolution. A connection between linear evolution of the moment functional and evolution of the corresponding state of an infinite quantum system is discussed.
Bibliography: 30 titles.
Received: 17.11.1982
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 1, Pages 155–191
Bibliographic databases:
UDC: 517.983
MSC: Primary 82A15; Secondary 60K35, 81E25, 81G99
Language: English
Original paper language: Russian
Citation: Yu. M. Sukhov, “Linear boson models of time evolution in quantum statistical mechanics”, Izv. Akad. Nauk SSSR Ser. Mat., 48:1 (1984), 155–191; Math. USSR-Izv., 24:1 (1985), 151–182
Citation in format AMSBIB
\Bibitem{Suk84}
\by Yu.~M.~Sukhov
\paper Linear boson models of time evolution in quantum statistical mechanics
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 1
\pages 155--191
\mathnet{http://mi.mathnet.ru/im1422}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=733362}
\zmath{https://zbmath.org/?q=an:0568.46056}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 1
\pages 151--182
\crossref{https://doi.org/10.1070/IM1985v024n01ABEH001219}
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  • https://doi.org/10.1070/IM1985v024n01ABEH001219
  • https://www.mathnet.ru/eng/im/v48/i1/p155
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:282
    Russian version PDF:91
    English version PDF:15
    References:53
    First page:1
     
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