S-ordered Expansion of the Intermediate Representation Projector and Its Applications

We first deduce the s -ordered expansion of the Wigner operator. Since Radon transformation of Wigner operator is just the intermediate representation | x 〉 λ ,ν projector, we naturally obtain the s -ordered product of | x 〉 λ ,ν λ ,ν 〈 x |. Accordingly, the completeness relation is still preserved under the s -ordering. Finally, based on it, we obtain the s -ordered expansion of some useful operator in quantum optics, and some new operator identities are revealed accordingly.