Nested Bethe Ansatz for Spin Ladder Model with Open Boundary Conditions

The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix forspin-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 withopen boundary conditions in the framework of nested BA.