"Lieb-Liniger delta Bose gas"의 두 판 사이의 차이
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introduction==
Hamiltonian==
two-body scattering term==
encyclopedia==
books==
articles==
imported>Pythagoras0 잔글 (찾아 바꾸기 – “</h5>” 문자열을 “==” 문자열로) |
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| − | <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">introduction | + | <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">introduction== |
* N bosons interacting on a line of length L via the delta function potential<br> | * N bosons interacting on a line of length L via the delta function potential<br> | ||
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| − | <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">Hamiltonian | + | <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">Hamiltonian== |
* quantum mechanical Hamiltonian<br><math>H=-\sum_{j=1}^{N}\frac{\partial^2}{\partial x_j^2}+2c\sum_{1\leq i<j\leq N}^{N}\delta(x_i-x_j)</math><br> | * quantum mechanical Hamiltonian<br><math>H=-\sum_{j=1}^{N}\frac{\partial^2}{\partial x_j^2}+2c\sum_{1\leq i<j\leq N}^{N}\delta(x_i-x_j)</math><br> | ||
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* <math>s_{ab}=k_a-k_b+ic</math><br> | * <math>s_{ab}=k_a-k_b+ic</math><br> | ||
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<math>\exp(ik_jL)=\prod_{l=1}^{N}\frac{k_j-k_l+ic}{k_j-k_l-ic}</math> | <math>\exp(ik_jL)=\prod_{l=1}^{N}\frac{k_j-k_l+ic}{k_j-k_l-ic}</math> | ||
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<math>E=\sum_{j=1}^{N}k_j^2</math> | <math>E=\sum_{j=1}^{N}k_j^2</math> | ||
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* http://www.google.com/search?hl=en&tbs=tl:1&q= | * http://www.google.com/search?hl=en&tbs=tl:1&q= | ||
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* http://en.wikipedia.org/wiki/ | * http://en.wikipedia.org/wiki/ | ||
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* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords= | * http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords= | ||
| − | [[4909919|]] | + | [[4909919|4909919]] |
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* http://mathoverflow.net/search?q= | * http://mathoverflow.net/search?q= | ||
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* 구글 블로그 검색<br> | * 구글 블로그 검색<br> | ||
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* http://arxiv.org/ | * http://arxiv.org/ | ||
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier] | * [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier] | ||
2012년 10월 28일 (일) 15:31 판
introduction==
- N bosons interacting on a line of length L via the delta function potential
- one-dimensional Bose gas
- 1963 Lieb and Liniger solved by Bethe ansatz
Hamiltonian==
- quantum mechanical Hamiltonian
\(H=-\sum_{j=1}^{N}\frac{\partial^2}{\partial x_j^2}+2c\sum_{1\leq i<j\leq N}^{N}\delta(x_i-x_j)\)
\(H=-\sum_{j=1}^{N}\frac{\partial^2}{\partial x_j^2}+2c\sum_{1\leq i<j\leq N}^{N}\delta(x_i-x_j)\)
two-body scattering term==
- \(s_{ab}=k_a-k_b+ic\)
Bethe-ansatz equation== \(\exp(ik_jL)=\prod_{l=1}^{N}\frac{k_j-k_l+ic}{k_j-k_l-ic}\)
energy spectrum== \(E=\sum_{j=1}^{N}k_j^2\)
history==
related items==
encyclopedia==
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- 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
articles==
- Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
- C. N. Yang and C. P. Yang, J. Math. Phys. 10, 1115 (1969)
- Some exact results for the many-body problem in one dimension with repulsive delta-function interaction
- C.N. Yang, Phys. Rev. Lett. 19 (1967), 1312-1315
- Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
- Elliott H. Lieb and Werner Liniger, 1963
- C. N. Yang and C. P. Yang, J. Math. Phys. 10, 1115 (1969)
- C.N. Yang, Phys. Rev. Lett. 19 (1967), 1312-1315
- Elliott H. Lieb and Werner Liniger, 1963