Some results of exact solutions for the two-spin-flip number problem of the spin-1 Heisenberg chain

Abstract

The eigenvalues and eigenvectors of the spin-1 Heisenberg chain are not exactly soluble by using of the Bethe Ansatz method. As an attempt, we propose a new format of the basic states and derive the exact solutions for the two-spin-flip number problem of the spin-1 Heisenberg chain. We discuss qualitatively some basic features of the above model for different types of wave number values.