Squeezed angular momentum coherent states : construction and time evolution ∗

Abstract A family of angular momentum coherent states on the sphere is constructedusing previous work by Aragone et al [1]. These states depend on a complexparameter which allows an arbitrary squeezing of the angular momentumuncertainties. The time evolution of these states is analyzed assuming a rigidbody hamiltonian. The rich scenario of fractional revivals is exhibited withcloning and many interference effects. In this contribution we will concentrate on a family of coherent states on the spherewhich can be proposed for the description of the rotation of quantum simple systems likerigid diatomic molecules or rigid nuclei. The relevant hamiltonian depends then only on theangular momentum I and the energy spectrum is expressed in terms of a frequency ω 0 byE I = ¯hω 0 I(I + 1). A general wave packet (WP) of the family depends on a parameter ηand of a real integer number k and will be denoted as Ψ ηk (θ,φ). The states with k differentfrom 0 are deduced from a parent state Ψ η0 defined asΨ