Pöschl-Teller Hamiltonian: Gazeau-Klauder type coherent states, related statistics, and geometry

Abstract

This work mainly addresses a construction of Gazeau-Klauder type coherent states (CSs) for a Pöschl-Teller model. Relevant characteristics are investigated. Induced geometry and statistics are studied. Then, the Berezin-Klauder-Toeplitz quantization of the classical phase space observables is presented.