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<h5>introduction</h5>  | <h5>introduction</h5>  | ||
| − | * The Hubbard model describes hopping electrons on a lattice  | + | * The Hubbard model describes hopping electrons on a lattice  | 
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| + | <h5>Lieb-Wu equations</h5>  | ||
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| + | *  describing Eigenstates of the Hubbard Hamiltonian<br><math>\exp(ik_jL)=\prod_{l=1}^{M}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}</math>, <math>j=1,\cdots, N</math><br><math>\exp(ik_jL)=(-1)^{n-1}\prod_{l=1, l\neq j}^{n}\frac{k_j-k_l+ic}{k_j-k_l-ic}</math><br>  | ||
2012년 8월 7일 (화) 09:28 판
introduction
- The Hubbard model describes hopping electrons on a lattice
 
Lieb-Wu equations
- describing Eigenstates of the Hubbard Hamiltonian
\(\exp(ik_jL)=\prod_{l=1}^{M}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}\), \(j=1,\cdots, N\)
\(\exp(ik_jL)=(-1)^{n-1}\prod_{l=1, l\neq j}^{n}\frac{k_j-k_l+ic}{k_j-k_l-ic}\) 
history
encyclopedia
- http://en.wikipedia.org/wiki/Hubbard_model
 - http://en.wikipedia.org/wiki/
 - http://www.scholarpedia.org/
 - Princeton companion to mathematics(Companion_to_Mathematics.pdf)
 
books
- The One-Dimensional Hubbard Model
 - 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=
 
articles
- Lax Pair for the One-Dimensional Hubbard Model
- Miki Wadati, Eugenio Olmedilla and Yasuhiro Akutsu, 1986
 
 - Miki Wadati, Eugenio Olmedilla and Yasuhiro Akutsu, 1986
 - http://www.ams.org/mathscinet
 - http://www.zentralblatt-math.org/zmath/en/
 - http://arxiv.org/
 - http://pythagoras0.springnote.com/
 - http://math.berkeley.edu/~reb/papers/index.html
 - http://dx.doi.org/10.1143/JPSJ.56.1340
 
question and answers(Math Overflow)
blogs
experts on the field