Transfer matrix in statistical mechanics

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imported>Pythagoras0님의 2012년 10월 28일 (일) 17:04 판

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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

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

history==
http://www.google.com/search?hl=en&tbs=tl:1&q=

related items==
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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

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)==
http://mathoverflow.net/search?q=

http://mathoverflow.net/search?q=

blogs==
구글 블로그 검색

http://blogsearch.google.com/blogsearch?q=

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http://ncatlab.org/nlab/show/HomePage

experts on the field==
http://arxiv.org/

links==
Detexify2 - LaTeX symbol classifier

수식표현 안내

The On-Line Encyclopedia of Integer Sequences

http://functions.wolfram.com/

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