Using the Gazeau–Klauder and Klauder–Perelomov coherent states, we derive the Robertson–Schrödinger intelligent states for two-body Calogero quantum system.
The so-called Gazeau–Klauder and Perelomov coherent states are introduced for an arbitrary quantum system. We give also the general framework to construct the generalized intelligent states which minimize the Robertson–Schrödinger uncertainty relation. As illustration, the Pöschl–Teller potentials of trigonometric type will be chosen. We show the advantage of the analytical representations of Gazeau–Klauder and Perelomov coherent states in obtaining the generalized intelligent states in analytical way.
Robertson intelligent states which minimize the Schr\" odinger-Robertson uncertainty relation are constructed as eigenstates of a linear combination of Weyl generators of the su(3) algebra. The construction is based on the analytic representations of su(3) coherent states. New classes of coherent and squeezed states are explicitly derived.