A Promotion Of Long-range Interaction Bariev Model

In this dissertatior, we investigate a generalized Bariev model which contains a special exponential interaction. In this kind of long range interaction system, the movement of the particle can be affected by each other (correlated hopping). In principle, such long range interaction will bring the configuration dependence of wave function by using direct CBA method, which becomes almost impossible. In present paper, we introduce a configuration dependent unitary transformation and solve the model by direct CBA method. After making the gauge transformation, the effect of long range interaction is equivalent to twisting the boundary field, and the expressions of the boundary condition are given. The induced model is similar to the one which contans Aharonov-Bohm effect potential. The difference is that the AB effect potential :.s not caused by the external field, but by the the movement of the particles in the system. The Bethe Ansatz equations and ground-state energy-are calculated. The momenta of the system and the energy spectrum are studied in some special cases. Furthermore, how to investigate properties of the system in general η is discussed.