"Heisenberg spin1/2 XXX chain"의 두 판 사이의 차이

수학노트
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<h5>introduction</h5>
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==introduction==
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* special case of [[Heisenberg spin chain model]]
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* {{수학노트|url=하이젠베르크_스핀_1/2_XXX_모형}}
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* {{수학노트|url=하이젠베르크_스핀_1/2_XXX_모형의_좌표_베테_가설_풀이(coordinate_Bethe_ansatz)}}
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* topics
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** emptiness formation probability
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** near neighbor correlations
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*  Hamiltonian of XXX spin chain with  anisotropic parameter <math>\Delta=1</math><br><math>\hat H = \sum_{j=1}^{N} (\sigma_j^x \sigma_{j+1}^x +\sigma_j^y \sigma_{j+1}^y +  \sigma_j^z \sigma_{j+1}^z)</math><br>
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==related items==
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*  two body scattering term<br><math>s_{jl}=1-2\Delta e^{ik_l}+ e^{ik_l+ik_j}=1-2e^{ik_l}+ e^{ik_l+ik_j}</math><br>
 
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*  equation satisfied by wave numbers<br><math>\exp(ik_jN)=(-1)^{N-1}\prod_{l=1}^{N}\exp(-i\theta(k_j,k_l))</math><br> where<br><math>\theta(p,q)</math> is defined as<br><math>\exp(-i\theta(p,q))=\frac{1-2\Delta e^{ip}+e^{i(p+q)}}{1-2\Delta e^{iq}+e^{i(p+q)}}=\frac{1-e^{ip}+e^{i(p+q)}}{1- e^{iq}+e^{i(p+q)}}</math><br>
 
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*  fundamental equation<br><math>k_jN=2\pi I(k_j)+\sum_{l=1}^{N}\theta(k_j,k_l)</math><br>
 
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<h5>history</h5>
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
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<h5>related items</h5>
 
  
 
* [[six-vertex model and Quantum XXZ Hamiltonian]]
 
* [[six-vertex model and Quantum XXZ Hamiltonian]]
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* [[Bethe ansatz]]
  
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<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%;">encyclopedia</h5>
 
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* http://en.wikipedia.org/wiki/
 
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* http://www.scholarpedia.org/
 
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* http://www.proofwiki.org/wiki/
 
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
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<h5>books</h5>
 
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* [[2010년 books and articles]]<br>
 
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* http://gigapedia.info/1/
 
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* http://gigapedia.info/1/
 
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* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
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<h5>expositions</h5>
 
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* [http://pos.sissa.it/archive/conferences/038/006/Solvay_006.pdf XXX Spin Chain: from Bethe Solution to Open Problems]
 
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<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>
 
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* http://www.ams.org/mathscinet
 
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* http://www.zentralblatt-math.org/zmath/en/
 
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* http://arxiv.org/
 
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* http://www.pdf-search.org/
 
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* http://pythagoras0.springnote.com/
 
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
 
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* http://dx.doi.org/
 
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<h5>question and answers(Math Overflow)</h5>
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
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<h5>blogs</h5>
 
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*  구글 블로그 검색<br>
 
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**  http://blogsearch.google.com/blogsearch?q=<br>
 
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** http://blogsearch.google.com/blogsearch?q=
 
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* http://ncatlab.org/nlab/show/HomePage
 
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<h5>experts on the field</h5>
 
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* http://arxiv.org/
 
  
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==articles==
  
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* Takahashi, Minoru. 2011. “Correlation Function and Simplified TBA Equations for XXZ Chain.” Symmetry, Integrability and Geometry: Methods and Applications (January 8). doi:10.3842/SIGMA.2011.004. http://www.emis.de/journals/SIGMA/2011/004/
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* Boos, H. E., V. E. Korepin, Y. Nishiyama, and M. Shiroishi. 2002. “Quantum Correlations and Number Theory.” Journal of Physics A: Mathematical and General 35 (20) (May 24): 4443. doi:[http://dx.doi.org/10.1088/0305-4470/35/20/305 10.1088/0305-4470/35/20/305].
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* Boos, H. E., and V. E. Korepin. 2001. “Quantum Spin Chains and Riemann Zeta Function with Odd Arguments.” Journal of Physics A: Mathematical and General 34 (26) (July 6): 5311. doi:[http://dx.doi.org/10.1088/0305-4470/34/26/301 10.1088/0305-4470/34/26/301].
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<h5>links</h5>
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[[분류:integrable systems]]
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[[분류:math and physics]]
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[[분류:migrate]]
  
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
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==메타데이터==
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* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
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===위키데이터===
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
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* ID :  [https://www.wikidata.org/wiki/Q899196 Q899196]
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* http://functions.wolfram.com/
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===Spacy 패턴 목록===
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* [{'LOWER': 'heisenberg'}, {'LEMMA': 'model'}]
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* [{'LOWER': 'quantum'}, {'LOWER': 'heisenberg'}, {'LEMMA': 'model'}]
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* [{'LOWER': 'heisenberg'}, {'LOWER': 'spin'}, {'LEMMA': 'chain'}]

2021년 2월 17일 (수) 03:04 기준 최신판

introduction


related items


articles

  • Takahashi, Minoru. 2011. “Correlation Function and Simplified TBA Equations for XXZ Chain.” Symmetry, Integrability and Geometry: Methods and Applications (January 8). doi:10.3842/SIGMA.2011.004. http://www.emis.de/journals/SIGMA/2011/004/
  • Boos, H. E., V. E. Korepin, Y. Nishiyama, and M. Shiroishi. 2002. “Quantum Correlations and Number Theory.” Journal of Physics A: Mathematical and General 35 (20) (May 24): 4443. doi:10.1088/0305-4470/35/20/305.
  • Boos, H. E., and V. E. Korepin. 2001. “Quantum Spin Chains and Riemann Zeta Function with Odd Arguments.” Journal of Physics A: Mathematical and General 34 (26) (July 6): 5311. doi:10.1088/0305-4470/34/26/301.

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'heisenberg'}, {'LEMMA': 'model'}]
  • [{'LOWER': 'quantum'}, {'LOWER': 'heisenberg'}, {'LEMMA': 'model'}]
  • [{'LOWER': 'heisenberg'}, {'LOWER': 'spin'}, {'LEMMA': 'chain'}]
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