Kramers and Wannier V-Matrices for the Partition Functions of the Ising Model

  • P. Frempong-Mireku
  • K. J. K. Moriarty
Conference paper


In this paper we show how to use maple to construct the two dimensional (2-d) and the three dimensional (3-d) Kramers and Wannier V-matrices which are used to compute the partition function (PF) of the Ising model by the perturbation method. The Maple functions which we have built to deal with these problems are d2cvmat, d2lnvmat, d2upvmat, d2stmat, d3cvmat, d3lnvmat, and d3upvmat.


Perturbation Method Ising Model Range Order Order Number Block Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Kramers, H. A. and Wannier, G. H., Phys. Rev. 60, 252 (1941).MathSciNetCrossRefGoogle Scholar
  2. [2]
    Onsager, L., Phy. Rev. 65. 117 (1944).MathSciNetMATHCrossRefGoogle Scholar
  3. [3]
    Montroll, E. W., J. Chem. Phys. 9 706 (1941).CrossRefGoogle Scholar
  4. [4]
    Montroll, E. W., J. Chem. Phys. 9 711 (1941).Google Scholar
  5. [5]
    Ashin, J. and Lamb W. E., Phy. Rev. 64, 252 (1941).Google Scholar
  6. [6]
    Oguchi, T., J. Phys. Soc. Japan, 5 75 (1950).MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • P. Frempong-Mireku
    • 1
  • K. J. K. Moriarty
    • 1
  1. 1.Department of Mathematics, Statistics and Computing ScienceDalhousie UniversityHalifaxCanada

Personalised recommendations