Properties and Application of Intermediate Entangled State Representation

We introduce the intermediate entangled state \α> and discuss its properties of \α>λ,v. We obtain the expression of the two-mode Wigner operator in the \α>λ,v representation. We find that the projection operator \α>λ,v, λ,v< α\is just the Radon transformation of the two-mode Wigner operator. Using the \α λ,v ,representation, we successfully obtain the eigenvalues and eigenvectors of a bipartite system coupled in a quite complicated way.