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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 291, Pages 64–77 (Mi znsl1622)  
This article is cited in 4 scientific papers (total in 4 papers)

Haldane–Wu statistics and Rogers dilogarithm

A. G. Bytskoab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Freie Universität Berlin, Institut für Theoretische Physik
Full-text PDF (193 kB) Citations (4)
Abstract: The Haldane–Wu exclusion statistics is considered from the generalized extensive statistics point of view and certain related mathematical aspects are investigated. A series representation for the corresponding generating function is proven. Equivalence of two formulas for the central charge, derived for the Haldane–Wu statistics via the thermodynamic Bethe ansatz, is established. As a corollary, a series representation with a free parameter for the Rogers dilogarithm is found. It is shown that the generating function, the entropy, and the central charge for the Gentile statistics majorize those for the Haldane–Wu statistics (under appropriate choice of parameters). From this, some dilogarithm inequality is derived.
Received: 04.12.2002
English version:
Journal of Mathematical Sciences, 2002, Volume 125, Issue 2, Pages 136–143
DOI: https://doi.org/10.1023/B:JOTH.0000049566.52845.d0
Bibliographic databases:
UDC: 517.589+536.7+530.145
Language: Russian
Citation: A. G. Bytsko, “Haldane–Wu statistics and Rogers dilogarithm”, Questions of quantum field theory and statistical physics. Part 17, Zap. Nauchn. Sem. POMI, 291, POMI, St. Petersburg, 2002, 64–77; J. Math. Sci., 125:2 (2002), 136–143
Citation in format AMSBIB
\Bibitem{Byt02}
\by A.~G.~Bytsko
\paper Haldane--Wu statistics and Rogers dilogarithm
\inbook Questions of quantum field theory and statistical physics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 291
\pages 64--77
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1622}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1948810}
\zmath{https://zbmath.org/?q=an:1130.82011}
\transl
\jour J. Math. Sci.
\yr 2002
\vol 125
\issue 2
\pages 136--143
\crossref{https://doi.org/10.1023/B:JOTH.0000049566.52845.d0}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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