GENERALIZED KLAUDER-PERELOMOV COHERENT STATES IN THE FRAME OF DIAGONAL OPERATORS ORDERING TECHNIQUE

In the paper we constructed and examined the properties of Klauder–Perelomov type coherent states (KP-CSs) for an arbitrary quantum system , using the technique of normal ordering of diagonal operators (DOOT). This is a generalization of the technique of integration with an ordered product (IWOP) introduced by Hong-yi Fan and applied very successfully in the case of canonical operators in quantum optics . The two examples (applications) in the last part (the one-dimensional harmonic oscillator , as well as a family of Pöschl–Teller type potentials) lead to both known and new results. This demonstrates the validity and effectiveness of the DOOT technique.