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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 5, Number 1, Pages 110–124 (Mi tmf4190)  

This article is cited in 4 scientific papers (total in 4 papers)

Application of the functional integration method to the Heisenberg model of ferromagnetism

Yu. A. Izyumov, Yu. N. Skryabin
References:
Abstract: The partition function of a Heisenberg ferromagnet is represented as a functional integral over the stochastic fields. The integrand describing the partition function of the system of spins without interaction is expanded in a series of powers of the stochastic fields. It is shown that this leads to the usual expansions of the original expression in powers of the interaction. A functional integral representation of the partition function in the Ising model is considered as a special case. By means of a cumulant expansion of the integrand a diagram technique is constructed for the calculation of the partition function, the magnetization, and the Green's functions of an Ising ferromagnet.
Received: 09.01.1970
English version:
Theoretical and Mathematical Physics, 1970, Volume 5, Issue 1, Pages 1018–1028
DOI: https://doi.org/10.1007/BF01035984
Language: Russian
Citation: Yu. A. Izyumov, Yu. N. Skryabin, “Application of the functional integration method to the Heisenberg model of ferromagnetism”, TMF, 5:1 (1970), 110–124; Theoret. and Math. Phys., 5:1 (1970), 1018–1028
Citation in format AMSBIB
\Bibitem{IzySkr70}
\by Yu.~A.~Izyumov, Yu.~N.~Skryabin
\paper Application of the functional integration method to the Heisenberg model of ferromagnetism
\jour TMF
\yr 1970
\vol 5
\issue 1
\pages 110--124
\mathnet{http://mi.mathnet.ru/tmf4190}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 1
\pages 1018--1028
\crossref{https://doi.org/10.1007/BF01035984}
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  • https://www.mathnet.ru/eng/tmf/v5/i1/p110
  • 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
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:70
    First page:1
     
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