The generalization of strong anisotropic XXZ model and UC hierarchy

This paper is concerned with the construction of the generalized strong anisotropic XXZ model. By means of the quantum inverse scattering method and boson-fermion correspondence, we investigate the general states and the scalar products of general states in the generalized strong anisotropic XXZ model which are tau functions of the universal character hierarchy. In addition, the relations between strong anisotropic XXZ model and KP hierarchy have also been presented.