An integrable quantum fermion model with impurities

With the help of the reflection matrices, we construct, under open boundary conditions, a one-dimensional integrable quantum fermion model with impurities, Applying the Algebraic Bethe ansatz, the exact solution for the model is given, And the spectrum as well as the Bethe ansatz equations are also presented. Our results will provide a start point for the study of the therm dynamical properties of the model.