"Hubbard model"의 두 판 사이의 차이

2012년 8월 7일 (화) 09:39 판

describing Eigenstates of the Hubbard Hamiltonian
\(\exp(ik_jL)=\prod_{l=1}^{M}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}\), \(j=1,\cdots, N\)
\(\prod_{j=1}^{N}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}=\prod_{m=1,m\neq l}^{M}\frac{\lambda_{l}-\lambda_{m}-2i u}{\lambda_{l}-\lambda_{m}+2i u}\), \(l=1,\cdots, M\)

@@ 2번째 줄: / 2번째 줄: @@
 * The Hubbard model describes hopping electrons on a lattice
+* 1968 Lieb and We
+* application of Bethe
@@ 9번째 줄: / 11번째 줄: @@
 <h5>Lieb-Wu equations</h5>
-*  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>
+*  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>\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}</math>, <math>l=1,\cdots, M</math><br>
+<h5>string hypothesis</h5>