H. Schulz-Baldes, J. Bellissard
A Kinetic Theory for Quantum Transport in Aperiodic Media
(399K, postscript)

ABSTRACT.  Transport theory is reinvestigated in a one-particle 
model including dissipation mechanisms through a phenomenological 
time dependent part. Using the description of an aperiodic 
crystal in terms of non-commutative geometry, it is then possible 
to rigorously derive Kubo formul{\ae} for the electric 
conductivity. Within the framework of the relaxation time 
approximation, a fractal analysis applied to the spectral 
measures entering in the Kubo formula allows to examine
anomalous transport owing to quantum interferences. This leads
to anomalies in Drude's formula.