EXPONENTIAL TAIL ESTIMATES FOR QUANTUM LATTICE DYNAMICS
EXPONENTIAL TAIL ESTIMATES FOR QUANTUM LATTICE DYNAMICS
We consider the quantum dynamics of a particle on a lattice for large times. Assuming translation invariance, and either discrete or continuous time parameter, the distribution of the ballistically scaled position $Q(t)/t$ converges weakly to a distribution that is compactly supported in velocity space, essentially the distribution of group velocity …