Wave packet dynamics in energy space, random matrix theory, and the quantum-classical correspondence

We apply random-matrix-theory (RMT) to the analysis of evolution of wave pa ckets in energy space. We study the crossover from ballistic behavior to sa turation, the possibility of having an intermediate diffusive behavior, and the feasibility of strong localization effect. Both theoretical considerat ions and numerical results are presented. Using quantal-classical correspon dence considerations we question the validity of the emerging dynamical pic ture. In particular, we claim that the appearance of the intermediate diffu sive behavior is possibly an artifact of the RMT strategy.