Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Xianyang Normal University

The Commutation Relations and the N-particle State for he Three Component Bariev Model under Open Boundary Condition

E Wu

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

By using the action of the monodromy matrices T,T-1,U-,on the pseudo-vacuum state,the main fundamental commutation relations are obtained through the reflection equations and the reflection equations.Furthermore,thermore,the recursive n-particle state is given which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations,the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

Related papers

The One-particle Exact Solution and the Boundary K Matrices for the Three Component Bariev Model under Open Boundary Condition

E Wu

By using the the fundamental commutation relations and the n-particle state of the three component bariev model under open boundary condition,the one-particle exact solution and the Bethe ansatz equations are given,as well as the boundary matrices which play a crucial role for obtaining the n-particle solution by means of the nested algebraic Bethe ansatz method.

Journal of Xianyang Normal University•Jan 1, 2010•0 citations

Exact Solution of the One-Dimensional N -Component Bariev Model with a Hard-Core Repulsion under Open Boundary Conditions

Ke San-Min, Rui‐Hong Yue

We analyse the integrable boundary conditions for the one-dimensional N -component generalized Bariev model with a hard-core repulsion. The Bethe ansatz equations and the energy spectrum are obtained in the framework of the nested Bethe ansatz method.

Chinese Physics Letters•Jan 30, 2006•1 citation

Integrability of N -Component Bariev Model Under Open Boundary Conditions

Ke San-Min, Rui‐Hong Yue

N -component Bariev model for correlated hopping under open boundary conditions in one dimension is studied in the framework of Bethe ansatz method. The energy spectrum and the related Bethe ansatz equations are obtained.

Communications in Theoretical Physics•Jun 1, 2005•2 citations

Exact Solutions of One-Dimensional N -Component Bariev Model with General Boundary Conditions

Ke San-Min, Wang Chun, Rui‐Hong Yue

The N-component Bariev model for correlated hopping with open boundary conditions in one dimension is studied in the framework of coordinate Bethe ansatz method. The energy spectrum, integrable boundary conditions and the corresponding Bethe ansatz equations are derived.

Communications in Theoretical Physics•Oct 1, 2006•0 citations

Nested Bethe Ansatz for Spin Ladder Model with Open Boundary Conditions

Wu Jun-Fang, Zhang Chun-Min, Rui‐Hong Yue +1 more

The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix for spin-ladder model with open boundary conditions. Based on the reflection equation, we find the general diagonal solution, which determines the general boundary interaction in the Hamiltonian. We introduce the spin-ladder model with open boundary conditions. By finding the solution K± of the reflection equation which determines the nontrivial boundary terms in the Hamiltonian, we diagonalize the transfer matrix of the spin-ladder model with open boundary conditions in the framework of nested BA.

Communications in Theoretical Physics•Apr 1, 2005•1 citation

Integrability of N-Component Bariev Model Under Open Boundary Conditions

KESan-Min, YUERui-Hong

N-component Bariey model for correlated hopping under open boundary conditions in one dimension is studied in the framework of Bethe ansatz method. The energy spectrum and the related Bethe ansatz equations are obtained.

理论物理通讯：英文版•Jan 1, 2005•0 citations
By using the action of the monodromy matrices T,T-1,U-,on the pseudo-vacuum state,the main fundamental commutation relations are obtained through the reflection equations and the reflection equations.Furthermore,thermore,the recursive n-particle state is given which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations,the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.
The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix for spin-ladder model with open boundary conditions. Based on the reflection equation, we find the general diagonal solution, which determines the general boundary interaction in the Hamiltonian. We introduce the spin-ladder model with open boundary conditions. By finding the solution K± of the reflection equation which determines the nontrivial boundary terms in the Hamiltonian, we diagonalize the transfer matrix of the spin-ladder model with open boundary conditions in the framework of nested BA.