Lyapunov spreading of semiclassical wave packets for the Lorentz gas: Theory and applications
Lyapunov spreading of semiclassical wave packets for the Lorentz gas: Theory and applications
We consider the quantum mechanical propagator for a particle moving in a $d$-dimensional Lorentz gas, with fixed, hard sphere scatterers. To evaluate this propagator in the semi-classical region, and for times less than the Ehrenfest time, we express its effect on an initial Gaussian wave packet in terms of quantities …