Diffusion of wave packets in a Markov random potential
arXiv:0808.2784 · doi:10.1007/s10955-009-9714-4
Abstract
We consider the evolution of a tight binding wave packet propagating in a time dependent potential. If the potential evolves according to a stationary Markov process, we show that the square amplitude of the wave packet converges, after diffusive rescaling, to a solution of a heat equation.
19 pages, acknowledgments added and typos corrected