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Matematicheskie Zametki, 1998, Volume 64, Issue 4, Pages 598–605
DOI: https://doi.org/10.4213/mzm1435 (Mi mzm1435) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonindependent splittings and Gibbs states

K.-H. Fichtnera, W. Freudenbergb, V. Liebscherb

a Friedrich-Schiller-University
b Brandenburgische Technische Universität
Full-text PDF (210 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1435
Abstract: We discuss a nonindependent (beam) splitting for which the related thinning leaves the class of equilibrium states for a one mode electromagnetic field invariant. The thinning affects only the parameters of the state, showing a nonlinear loss of energy. After the splitting, the energy values of both split parts are independent. This independence is a characteristic property of the geometric distribution, the distribution of energy values in the equilibrium state. Also, we observe that the class of states where the full states of the split parts are independent is formed by the so-called phase states.
Received: 16.09.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 4, Pages 518–523
DOI: https://doi.org/10.1007/BF02314634
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: K. Fichtner, W. Freudenberg, V. Liebscher, “Nonindependent splittings and Gibbs states”, Mat. Zametki, 64:4 (1998), 598–605; Math. Notes, 64:4 (1998), 518–523
Citation in format AMSBIB
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\by K.~Fichtner, W.~Freudenberg, V.~Liebscher
\paper Nonindependent splittings and Gibbs states
\jour Mat. Zametki
\yr 1998
\vol 64
\issue 4
\pages 598--605
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\crossref{https://doi.org/10.4213/mzm1435}
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\zmath{https://zbmath.org/?q=an:0931.60082}
\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 4
\pages 518--523
\crossref{https://doi.org/10.1007/BF02314634}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000079258700033}
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  • https://doi.org/10.4213/mzm1435
  • https://www.mathnet.ru/eng/mzm/v64/i4/p598
    • 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
    		Математические заметки Mathematical Notes
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