"Eight-vertex model and quantum XYZ model"의 두 판 사이의 차이
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| 32번째 줄: | 32번째 줄: | ||
* [[six-vertex model and Quantum XXZ Hamiltonian]]<br> | * [[six-vertex model and Quantum XXZ Hamiltonian]]<br> | ||
* [[Yang-Baxter equation (YBE)|Yang-Baxter equation]]<br> | * [[Yang-Baxter equation (YBE)|Yang-Baxter equation]]<br> | ||
| − | * [[ | + | * [[dimer model|Dimer model]]<br> |
| 66번째 줄: | 66번째 줄: | ||
<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5> | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5> | ||
| + | * [http://dx.doi.org/10.1143/JPSJ.55.3285 Virasoro Algebra, von Neumann Algebra and Critical Eight-Vertex SOS Models] | ||
* [http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]<br> | * [http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]<br> | ||
** Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972<br> | ** Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972<br> | ||
| 76번째 줄: | 77번째 줄: | ||
* http://pythagoras0.springnote.com/ | * http://pythagoras0.springnote.com/ | ||
* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html] | * [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html] | ||
| − | * http://dx.doi.org/10. | + | * http://dx.doi.org/10.1143/JPSJ.55.3285 |
2010년 11월 30일 (화) 11:04 판
introduction
- This model includes the dimer, ice and zero-field Ising, F and KDP models as special cases.
- Sutherland 1970 showed that any eight-vertex model transfer matrix commutes with an XYZ Hamiltonian
- Baxter considered (unaware of Sutherland 1970) the problem of the commutation of two eight-vertex transfer matrices
Hamiltonian
- XYZ Hamiltonian
\(\hat H = -\frac{1}{2} \sum_{j=1}^{N} (J_x \sigma_j^x \sigma_{j+1}^x + J_y \sigma_j^y \sigma_{j+1}^y + J_z \sigma_j^z \sigma_{j+1}^z - h\sigma_j^{z})\)
history
- Heisenberg spin chain model
- six-vertex model and Quantum XXZ Hamiltonian
- Yang-Baxter equation
- Dimer model
encyclopedia
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
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=
[[4909919|]]
articles
- Virasoro Algebra, von Neumann Algebra and Critical Eight-Vertex SOS Models
- Partition Function of the Eight-Vertex Lattice Model
- Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972
- Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972
- http://dx.doi.org/10.1063/1.1665111
- B. Sutherland, J. Math. Phys. 11:3183-3186 (1970)
- B. Sutherland, J. Math. Phys. 11:3183-3186 (1970)
- http://www.ams.org/mathscinet
- [1]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/10.1143/JPSJ.55.3285
question and answers(Math Overflow)
blogs
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- http://ncatlab.org/nlab/show/HomePage
experts on the field