ALGEBRAIC CONSTRUCTION OF QUANTUM INTEGRABLE MODELS INCLUDING INHOMOGENEOUS MODELS

Exploiting the quantum integrability condition we construct an Aancestor mode! associated with a new underlying quadratic algebra. AThis ancestor model represents an exactly integrable quantum lattice Ainhomogeneous anisotropic model and at its various realizations and Alimits can generate a wide range of integrable models. They cover quantum lattice as well as field models associated with the Aquantum R-matrix of trigonometric type or at the undeformed q -> I Alimit similar models belonging to the rational class. The classical Alimit likewise yields the corresponding classical discrete and field Amodels. Thus along with the generation of known integrable models in a Aunifying way a new class of inhomogeneous models including variable mass sine-Gordon model, inhomogeneous Toda chain, impure spin chains, Aetc., are constructed.