Operator properties of generalized coherent state systems

摘要

The main properties of standard quantum mechanical coherent states and the two gener- alizations of Klauder and of Perelomov are reviewed. For a system of generalized coherent states in the latter sense, necessary and sufficient conditions for existence of a diagonal coherent stable repre- sentation for all Hilbert-Schmidt operators are obtained. The main ingredients are Clebsch-Gordan theory an induced representation theory.