Dynamics of zero-energy nonspreading non-Gaussian wave packets for a class of central potentials

Zero-energy wave packets, coherent states, are constructed in such a way that they retain their shape during the time evolution for a large class of central potentials. The packets are not of the Gaussian type with -r(2) dependence but, instead, their shape is determined by -r(1/mu+1/2) with -1/2 < mu < 1/2. A very close quantum-classical correspondence is also shown, i.e., the well localized states travel along suitable classical trajectories. (c) 2013 Elsevier Inc. All rights reserved.