"Hubbard model"의 두 판 사이의 차이

2012년 8월 26일 (일) 12:31 판

The Hubbard model describes hopping electrons on a lattice
1968 Lieb and We
- 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

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
+*  1968 Lieb and We<br>
-* application of Bethe
+** application of Bethe ansatz
+*  1972 Takahasi<br>
+** 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