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Teoreticheskaya i Matematicheskaya Fizika, 1975, Volume 25, Number 2, Pages 280–288 (Mi tmf4073)  

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

Linear transformation matrix for the correlation functions of the Ising model

R. Z. Bariev, M. P. Zhelifonov
Full-text PDF (584 kB) Citations (3)
References:
Abstract: New formulation of the Ising problem is given, according to which the solution of the problem is reduced to diagonalizing the matrix of a certain linear transformation $W$ in the space of vectors composed of the correlation functions of the model. The structure of the new operator differs in a principal way from that of the usual transfer matrix. The matrix $W$ has a higher order and, for example, in the case of planar lattices it splits into separate blocks which can be easily diagonalized and lead to the exact solution of the problem.
Received: 20.11.1974
English version:
Theoretical and Mathematical Physics, 1975, Volume 25, Issue 2, Pages 1132–137
DOI: https://doi.org/10.1007/BF01028959
Bibliographic databases:
Language: Russian
Citation: R. Z. Bariev, M. P. Zhelifonov, “Linear transformation matrix for the correlation functions of the Ising model”, TMF, 25:2 (1975), 280–288; Theoret. and Math. Phys., 25:2 (1975), 1132–137
Citation in format AMSBIB
\Bibitem{BarZhe75}
\by R.~Z.~Bariev, M.~P.~Zhelifonov
\paper Linear transformation matrix for the correlation functions of the Ising model
\jour TMF
\yr 1975
\vol 25
\issue 2
\pages 280--288
\mathnet{http://mi.mathnet.ru/tmf4073}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=489627}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 25
\issue 2
\pages 1132--137
\crossref{https://doi.org/10.1007/BF01028959}
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  • https://www.mathnet.ru/eng/tmf/v25/i2/p280
  • This publication is cited in the following 3 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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