"Hubbard model"의 두 판 사이의 차이
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| − | + | ==introduction== | |
| − | * The Hubbard model describes hopping electrons on a lattice | + | * The Hubbard model describes hopping electrons on a lattice |
| + | * 1968 Lieb and Wu | ||
| + | ** application of Bethe ansatz | ||
| + | * 1972 Takahasi | ||
| + | ** string hypothesis | ||
| + | ** replace the Lieb-Wu equations by simpler ones | ||
| + | ** proceeded to drive a set of non-linear integral equations known as thermodynamic Bethe ansatz equations | ||
| + | * algebraic Bethe ansatz for the Hubbard model | ||
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| − | + | ==Lieb-Wu equations== | |
| + | * describing Eigenstates of the Hubbard Hamiltonian | ||
| + | * [[Bethe ansatz]] equation | ||
| + | :<math>\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</math> | ||
| + | :<math>\prod_{j=1}^{N}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}=\prod_{m=1,m\neq l}^{M}\frac{\lambda_{l}-\lambda_{m}-2i u}{\lambda_{l}-\lambda_{m}+2i u},\,l=1,\cdots, M</math> | ||
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| − | + | ==string hypothesis== | |
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| − | + | ==history== | |
| − | + | * http://www.google.com/search?hl=en&tbs=tl:1&q= | |
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| − | + | ==related items== | |
| + | * [[Bethe ansatz]] | ||
| + | * [[Bose-Hubbard Model]] | ||
| − | + | ==encyclopedia== | |
| − | * | + | * http://en.wikipedia.org/wiki/Hubbard_model |
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| − | + | ==books== | |
| − | + | * [http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521802628 The One-Dimensional Hubbard Model] | |
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| − | * [http:// | ||
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| − | + | ==articles== | |
| + | * de Leeuw, Marius, and Vidas Regelskis. “An Algebraic Approach to the Hubbard Model.” arXiv:1509.06205 [cond-Mat, Physics:hep-Th, Physics:math-Ph, Physics:nlin], September 21, 2015. http://arxiv.org/abs/1509.06205. | ||
| + | * Popkov, Vladislav, and Tomaz Prosen. “Infinitely Dimensional Lax Structure for One-Dimensional Hubbard Model.” arXiv:1501.02230 [cond-Mat, Physics:math-Ph, Physics:nlin], January 9, 2015. http://arxiv.org/abs/1501.02230. | ||
| + | * Wadati, Miki, Eugenio Olmedilla, and Yasuhiro Akutsu. “Lax Pair for the One-Dimensional Hubbard Model.” Journal of the Physical Society of Japan 56, no. 4 (April 15, 1987): 1340–47. doi:[http://dx.doi.org/10.1143/JPSJ.56.1340 10.1143/JPSJ.56.1340]. | ||
| − | + | [[분류:integrable systems]] | |
| + | [[분류:math and physics]] | ||
| + | [[분류:migrate]] | ||
| − | * [ | + | ==메타데이터== |
| − | * [ | + | ===위키데이터=== |
| − | + | * ID : [https://www.wikidata.org/wiki/Q1571298 Q1571298] | |
| − | + | ===Spacy 패턴 목록=== | |
| + | * [{'LOWER': 'hubbard'}, {'LEMMA': 'model'}] | ||
2021년 2월 17일 (수) 02:07 기준 최신판
introduction
- The Hubbard model describes hopping electrons on a lattice
- 1968 Lieb and Wu
- application of Bethe ansatz
- 1972 Takahasi
- string hypothesis
- replace the Lieb-Wu equations by simpler ones
- proceeded to drive a set of non-linear integral equations known as thermodynamic Bethe ansatz equations
- algebraic Bethe ansatz for the Hubbard model
Lieb-Wu equations
- describing Eigenstates of the Hubbard Hamiltonian
- Bethe ansatz equation
\[\exp(ik_jL)=\prod_{l=1}^{M}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u},\,j=1,\cdots, N\] \[\prod_{j=1}^{N}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}=\prod_{m=1,m\neq l}^{M}\frac{\lambda_{l}-\lambda_{m}-2i u}{\lambda_{l}-\lambda_{m}+2i u},\,l=1,\cdots, M\]
string hypothesis
history
encyclopedia
books
articles
- de Leeuw, Marius, and Vidas Regelskis. “An Algebraic Approach to the Hubbard Model.” arXiv:1509.06205 [cond-Mat, Physics:hep-Th, Physics:math-Ph, Physics:nlin], September 21, 2015. http://arxiv.org/abs/1509.06205.
- Popkov, Vladislav, and Tomaz Prosen. “Infinitely Dimensional Lax Structure for One-Dimensional Hubbard Model.” arXiv:1501.02230 [cond-Mat, Physics:math-Ph, Physics:nlin], January 9, 2015. http://arxiv.org/abs/1501.02230.
- Wadati, Miki, Eugenio Olmedilla, and Yasuhiro Akutsu. “Lax Pair for the One-Dimensional Hubbard Model.” Journal of the Physical Society of Japan 56, no. 4 (April 15, 1987): 1340–47. doi:10.1143/JPSJ.56.1340.
메타데이터
위키데이터
- ID : Q1571298
Spacy 패턴 목록
- [{'LOWER': 'hubbard'}, {'LEMMA': 'model'}]