"Transfer matrix in statistical mechanics"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 잔글 (찾아 바꾸기 – “4909919” 문자열을 “” 문자열로) |
imported>Pythagoras0 |
||
| 11번째 줄: | 11번째 줄: | ||
| + | |||
| + | ==transfer matrix of the 2D Ising model== | ||
| + | * [[Ising model on rectangular lattice]] | ||
| + | |||
| + | |||
| + | |||
| + | ==transfer matrix of the six-vertex model== | ||
| + | * [[Six-vertex model and Quantum XXZ Hamiltonian]] | ||
| + | |||
2012년 12월 23일 (일) 18:56 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
history
encyclopedia
books
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
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/.
articles
- http://www.ams.org/mathscinet
- [2]http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field