"Hubbard model"의 두 판 사이의 차이

2012년 10월 29일 (월) 07:51 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
\(\exp(ik_jL)=\prod_{l=1}^{M}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}\), \(j=1,\cdots, N\)
\(\prod_{j=1}^{N}\frac{\lambda_{l}-\sin k_j-i u}{\lambda_{l}-\sin k_j+i u}=\prod_{m=1,m\neq l}^{M}\frac{\lambda_{l}-\lambda_{m}-2i u}{\lambda_{l}-\lambda_{m}+2i u}\), \(l=1,\cdots, M\)

@@ 117번째 줄: / 117번째 줄: @@
 * [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
 * http://functions.wolfram.com/
+[[분류:integrable systems]]