Normal ordering and antinormal ordering of the operator ( fQ + gP ) n and some of their applications
Meng Xiang-Guo, Ji‐Suo Wang, Liang Bao-Long · Chinese Physics B · 2009
In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and antinormal ordering products of the operator ( fQ + gP ) n when n is an arbitrary integer. These products are very useful in calculating their matrix elements and expectation values and obtaining some useful mathematical formulae. Finally, the applications of some new identities are given.