Diffusion of wave packets in a Markov random potential
Mathematical Physics
2009-04-24 v3 math.MP
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.
Cite
@article{arxiv.0808.2784,
title = {Diffusion of wave packets in a Markov random potential},
author = {Yang Kang and Jeffrey Schenker},
journal= {arXiv preprint arXiv:0808.2784},
year = {2009}
}
Comments
19 pages, acknowledgments added and typos corrected