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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 77, Number 3, Pages 426–439 (Mi tmf6115)  

This article is cited in 18 scientific papers (total in 18 papers)

Autocorrelation function of a Heisenberg paramagnet in the approximation of a self-consistent fluctuating field

V. E. Zobov
References:
Abstract: A nonlinear integrodifferential equation is derived for the autocorrelation function of the Heisenberg paramagnet at high temperatures in the limit of an infinite-dimensional lattice. The solution of this equation on the plane of the complex time variable is investigated. A majorant and a minorant for the autocorrelation function on the imaginary axis are found, together with the nearest singular points. It is shown that at high frequencies the spectral density decreases exponentially. The damping constant and the pre-exponential factor are determined by the method of moments. The moments to tenth order are calculated.
Received: 24.04.1987
English version:
Theoretical and Mathematical Physics, 1988, Volume 77, Issue 3, Pages 1299–1309
DOI: https://doi.org/10.1007/BF01016985
Bibliographic databases:
Language: Russian
Citation: V. E. Zobov, “Autocorrelation function of a Heisenberg paramagnet in the approximation of a self-consistent fluctuating field”, TMF, 77:3 (1988), 426–439; Theoret. and Math. Phys., 77:3 (1988), 1299–1309
Citation in format AMSBIB
\Bibitem{Zob88}
\by V.~E.~Zobov
\paper Autocorrelation function of a Heisenberg paramagnet in the approximation of a self-consistent fluctuating field
\jour TMF
\yr 1988
\vol 77
\issue 3
\pages 426--439
\mathnet{http://mi.mathnet.ru/tmf6115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=982417}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 77
\issue 3
\pages 1299--1309
\crossref{https://doi.org/10.1007/BF01016985}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988AK72200010}
Linking options:
  • https://www.mathnet.ru/eng/tmf6115
  • https://www.mathnet.ru/eng/tmf/v77/i3/p426
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:360
    Full-text PDF :106
    References:43
    First page:1
     
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