"Transfer matrix in statistical mechanics"의 두 판 사이의 차이

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==related items==
 
==related items==
 
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* [[S-matrix or scattering matrix]]
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2012년 12월 23일 (일) 19:26 판

introduction

  • transfer matrix is builtup from matrices of  Boltzmann weights
  • trace of monodromy matrix is the transfer matrix
  • finding eigenvalues and eigenvectors of transfer matrix is crucial
  • Bethe ansatz equation is used to find the eigenvectors and eigenvalues of the transfer matrix
  • partition function = trace of power of transfer matrices
  • so the partition function  is calculated in terms of the eigenvalues of the transfer matrix
  • then the problem of solving the model is reduced to the computation of this trace

 

transfer matrix of the 2D Ising model


transfer matrix of the six-vertex model


 

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