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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 219–261 (Mi znsl1317)  
This article is cited in 11 scientific papers (total in 11 papers)

Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain

V. S. Kapitonovab, A. G. Pronkoa

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b State Technological Institute of St. Petersburg
Full-text PDF (368 kB) Citations (11)
Abstract: Time-dependent temperature correlators of the anisotropic Heisenberg $XY$ chain are calculated by making use of technique of integration over Grassmann variables. For the chain of length $M$ the correlators are represented as determinants of $2M\times2M$ matrices. In the thermodynamic limit the correlation functions are expressed in terms of the Fredholm determinants of linear integral operators with a matrix kernel.
Received: 16.11.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 2009–2032
DOI: https://doi.org/10.1023/A:1022655914303
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. S. Kapitonov, A. G. Pronko, “Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 219–261; J. Math. Sci. (N. Y.), 115:1 (2003), 2009–2032
Citation in format AMSBIB
\Bibitem{KapPro00}
\by V.~S.~Kapitonov, A.~G.~Pronko
\paper Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 219--261
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805863}
\zmath{https://zbmath.org/?q=an:1092.82508}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2009--2032
\crossref{https://doi.org/10.1023/A:1022655914303}
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  • https://www.mathnet.ru/eng/znsl/v269/p219
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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