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

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-==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
-* 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
-==Bethe ansatz==
-* [[Bethe ansatz]] equation is used to find the eigenvectors and eigenvalues of the transfer matrix
-==transfer matrix of the six-vertex model==
-* [[Six-vertex model and Quantum XXZ Hamiltonian]]
-==related items==
-* [[S-matrix or scattering matrix]]
-* [[1d Ising model]]
-* [[Ising model on rectangular lattice]]
-==expositions==
-* “The Kramers-Wannier Transfer Matrix.” 1980. In The Ruelle-Araki Transfer Operator in Classical Statistical Mechanics, 13–39. Lecture Notes in Physics 123. Springer Berlin Heidelberg. http://link.springer.com/chapter/10.1007/BFb0017921.
-[[분류:개인노트]]
-[[분류:integrable systems]]
-[[분류:math and physics]]

2020년 11월 13일 (금) 03:04 판