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Mathematics of the USSR-Izvestiya, 1983, Volume 21, Issue 3, Pages 547–583
DOI: https://doi.org/10.1070/IM1983v021n03ABEH001804 (Mi im1704) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Convergence to an equilibrium state for a one-dimensional quantum system of hard rods

Yu. M. Sukhov
English version PDF (1901 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM1983v021n03ABEH001804
Abstract: In this paper a theorem is proved on the convergence to an equilibrium state during the course of the time evolution of an infinite, one-dimensional system of quantum particles interacting by means of a “hard-rod” potential. The basic idea consists in the reduction of the time evolution of the system of hard rods to the time evolution of free particles. The case of free motion was studied earlier by O. Lanford and D. Robinson.
Bibliography: 23 titles.
Received: 07.01.1982
Bibliographic databases:
UDC: 517.958+517.986
MSC: Primary 82A15; Secondary 81E05
Language: English
Original paper language: Russian
Citation: Yu. M. Sukhov, “Convergence to an equilibrium state for a one-dimensional quantum system of hard rods”, Math. USSR-Izv., 21:3 (1983), 547–583
Citation in format AMSBIB
\Bibitem{Suk82}
\by Yu.~M.~Sukhov
\paper Convergence to an equilibrium state for a~one-dimensional quantum system of hard rods
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 3
\pages 547--583
\mathnet{http://mi.mathnet.ru//eng/im1704}
\crossref{https://doi.org/10.1070/IM1983v021n03ABEH001804}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=682491}
\zmath{https://zbmath.org/?q=an:0532.46042|0507.46054}
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  • https://doi.org/10.1070/IM1983v021n03ABEH001804
  • https://www.mathnet.ru/eng/im/v46/i6/p1274
    • 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:240
    Russian version PDF:84
    English version PDF:13
    References:64
    First page:1
     
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