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

• DOI: 10.1007/s10773-011-0786-y
• Publication Date: 2011-04-16T07:29:50Z
• Authors: Wen-jian Yu; Ye-jun Xu; Hong-chun Yuan; Ji-suo Wang
• Keywords: 0103 physical sciences; 01 natural sciences

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,νλ,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.