J. Phys. IV France 08 (1998) Pr6-253-Pr6-262
Quantum intermittency : old or new phenomenon ?G. Mantica
International Center for the Study of Dynamical Systems, INFM-INFN sez. Di Milano, University of Milano at Como, via Lucini 3, 22100 Como, Italy
Two seemingly unrelated themes in the research of Giovanni Paladin have been the thermodynamical formalism for fractal measures, and abstract models to account for the structure of well-developed turbulence. Here, intermittent behaviour seems to be the deep origin of the non-K41 scaling relations characterizing velocity differences in the flow. These themes-multifractal properties (of certain spectral measures) and non-trivial scaling functions (of localization properties in time)-turn out to be intimately related in the description of wave propagation in almost periodic systems, classical and quantum. Their relations lead to what I call the phenomenon of quantum intermittency : I develop a complete analytical treatment of its appearance in the motion generated by Hamiltonians associated with Julia set measures.
© EDP Sciences 1998