We have constructed
a family of coherent states (CS) for the Pöschl-Teller potential (including the limit case of the infinite well) in
Semi-classical behavior of Pöschl-Teller coherent states.
These CS exhibit most of the striking properties of the original Schrödinger ones, e.g. resolution of identity with uniform measure and saturation of uncertainty inequalities. The parameters of these CS are points
in the classical phase space of the particle. This enables us to have a phase-space picture of any quantum state. The time evolution of the CS is remarkably localized around the classical phase space trajectory, as it is shown in the animation corresponding to the probability distribution of a CS evolving with the Hamiltonian of the innite square well.
