"Hubbard model"의 두 판 사이의 차이

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==introduction==
  
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* The Hubbard model describes hopping electrons on a lattice
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*  1968 Lieb and Wu
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** application of Bethe ansatz
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*  1972 Takahasi
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** string hypothesis
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** replace the Lieb-Wu equations by simpler ones
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** proceeded to drive a set of non-linear integral equations known as thermodynamic Bethe ansatz equations
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* algebraic Bethe ansatz for the Hubbard model
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==Lieb-Wu equations==
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*  describing Eigenstates of the Hubbard Hamiltonian
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* [[Bethe ansatz]] equation
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:<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>
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:<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==
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
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==related items==
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* [[Bethe ansatz]]
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* [[Bose-Hubbard Model]]
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==encyclopedia==
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* http://en.wikipedia.org/wiki/Hubbard_model
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==books==
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* [http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521802628 The One-Dimensional Hubbard Model]
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==articles==
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* 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.
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* 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.
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* 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].
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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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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q1571298 Q1571298]
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===Spacy 패턴 목록===
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* [{'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



related items

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

Spacy 패턴 목록

  • [{'LOWER': 'hubbard'}, {'LEMMA': 'model'}]
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