4 papers · 1 filter
Wave packet autocorrelation functions for quantum hard-disk and hard-sphere billiards in the high-energy, diffraction regime
Arseni Goussev, J. R. Dorfman
We consider the time evolution of a wave packet representing a quantum particle moving in a geometrically open billiard that consists of a number of fixed hard-disk or hard-sphere…
Lyapunov Spreading of Semi-classical Wave Packets for the Lorentz Gas: Theory and Applications
Arseni Goussev, J. R. Dorfman
We consider the quantum mechanical propagator for a particle moving in a -dimensional Lorentz gas, with fixed, hard sphere scatterers. To evaluate this propagator in the semi-cl…
On the parametric dependences of a class of non-linear singular maps
T. Gilbert, J. R. Dorfman
We discuss a two-parameter family of maps that generalize piecewise linear, expanding maps of the circle. One parameter measures the effect of a non-linearity which bends the branc…
A Note on the Ruelle Pressure for a Dilute Disordered Sinai Billiard
Henk van Beijeren, J. R. Dorfman
The topological pressure is evaluated for a dilute random Lorentz gas, in the approximation that takes into account only uncorrelated collisions between the moving particle and fix…