A Derivation of the Generalized Coherent State Representation by Virtue of the Weyl Operator Ordering Method

In this paper, we show how to employ ”Weyl's operator ordering method to directly construct generalized coherent state representations. This is based on the property that the Weyl ordered operators are ordering-invariant under similarity transformations. It turns out that the pure generalized coherent state density operators are generalized Husimi operators.