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TMF, 1981, Volume 49, Number 2, Pages 234–247 (Mi tmf2469)  

This article is cited in 3 scientific papers (total in 3 papers)

Method of functional integration in the theory of spin systems

I. A. Vakarchuk, Yu. K. Rudavskii


Abstract: A convenient functional integral representation is proposed for the free energy and Green's function of the generalized quantum Heisenberg model. The representation can be used in the investigation of a large class of problems. A simple functional integration gives the results of the random phase approximation in the lowest approximation. Explicit expressions are given for the free energy of some model spin systems. The higher fluctuation corrections are taken into account by means of an expansion with respect to Gaussian moments with renormalized interaction.

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English version:
Theoretical and Mathematical Physics, 1981, 49:2, 1002–1011

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Received: 11.08.1980

Citation: I. A. Vakarchuk, Yu. K. Rudavskii, “Method of functional integration in the theory of spin systems”, TMF, 49:2 (1981), 234–247; Theoret. and Math. Phys., 49:2 (1981), 1002–1011

Citation in format AMSBIB
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\by I.~A.~Vakarchuk, Yu.~K.~Rudavskii
\paper Method of functional integration in the theory of spin systems
\jour TMF
\yr 1981
\vol 49
\issue 2
\pages 234--247
\mathnet{http://mi.mathnet.ru/tmf2469}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=661609}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 49
\issue 2
\pages 1002--1011
\crossref{https://doi.org/10.1007/BF01028995}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981NV49900009}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. I. A. Vakarchuk, G. V. Ponedilok, Yu. K. Rudavskii, “Theory of liquid magnets”, Theoret. and Math. Phys., 58:3 (1984), 291–302  mathnet  crossref  mathscinet  isi
    2. I. A. Vakarchuk, I. F. Margolych, “On the theory of multicomponent disordered magnets”, Theoret. and Math. Phys., 72:3 (1987), 1006–1016  mathnet  crossref  isi
    3. I. V. Pylyuk, “Critical behavior of the three-dimensional Ising sistem: Dependence of themodynamic characteristics on microscopic parameters”, Theoret. and Math. Phys., 117:3 (1998), 1459–1482  mathnet  crossref  crossref  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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