Canadian Journal of Physics
Elementary Bethe Ansatz solution of two lattice spin models
Paul Bracken
Abstract
A simple detailed derivation is given of the Bethe Ansatz solution and the raising operator condition on the amplitudes of the wave function that demands that this state be a highest weight state for the one-dimensional Heisenberg model. This is extended to the case of a single spin impurity on the lattice. The equivalent form of the Ansatz is derived, and several properties of the associated eigenvalue problem are developed. R´ esum´