ALGEBRAIC-SOLUTION OF THE HUBBARD-MODEL ON THE INFINITE INTERVAL

We develop the quantum inverse scattering method for the one-dimension al Hubbard model on the infinite line at zero density, This enables us to diagonalize the Hamiltonian algebraically. The eigenstates can be classified as scattering states of particles, bound pairs of particles and bound states of pairs. We obtain the corresponding creation and a nnihilation operators and calculate the S-matrix, The Hamiltonian on t he infinite line is invariant under the Yangian quantum group Y(su(2)) , We show that the n-particle scattering states transform like n-fold tensor products of fundamental representations of Y(su(2)) and that th e bound states are Yangian singlet. (C) 1998 Elsevier Science B.V.