"Transfer matrix in statistical mechanics"의 두 판 사이의 차이
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==introduction== | ==introduction== | ||
* transfer matrix is builtup from matrices of Boltzmann weights | * transfer matrix is builtup from matrices of Boltzmann weights | ||
| − | * trace of | + | * trace of [[Monodromy matrix]] is the transfer matrix |
* finding eigenvalues and eigenvectors of transfer matrix is crucial | * finding eigenvalues and eigenvectors of transfer matrix is crucial | ||
* partition function = trace of power of transfer matrices | * partition function = trace of power of transfer matrices | ||
2013년 4월 10일 (수) 01:43 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
- 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
expositions
- Anon.1980. The Ruelle-Araki Transfer Operator in Classical Statistical Mechanics. Vol. 123. Berlin/Heidelberg: Springer-Verlag.[1]http://www.springerlink.com/content/f12j034740601kjx/.