ANOMALOUS DIFFUSION AND BALLISTIC PEAKS - A QUANTUM PERSPECTIVE

The quantum kicked rotor and the classical kicked rotor are both shown to have truncated Levy distributions in momentum space, when the clas sical phase space has accelerator modes embedded in a chaotic sea. The survival probability for classical particles at the interface of an a ccelerator mode and the chaotic sea has an inverse power-law structure , whereas that for quantum particles has a periodically modulated inve rse power law, with the period of oscillation being dependent on Planc k's constant. These logarithmic oscillations are a renormalization gro up property that disappears as (h) over bar-->o in agreement with the correspondence principle.