YANGIAN SYMMETRY AND QUANTUM INVERSE SCATTERING METHOD FOR THE ONE-DIMENSIONAL HUBBARD-MODEL

We develop the quantum inverse scattering method for the one-dimension al Hubbard model on the infinite interval at zero density, The R-matri x and monodromy matrix are obtained as limits from their known counter parts on the finite interval. The R-matrix greatly simplifies in the c onsidered limit. The new R-matrix contains a submatrix which turns int o the rational R-matrix of the XXX-chain by an appropriate reparametri zation, The corresponding submatrix of the monodromy matrix thus provi des a representation of the Y(su(2)) Yangian. From its quantum determi nant we obtain an infinite series of mutually commuting Yangian invari ant operators which includes the Hamiltonian.