Diffusion of wave packets in a Markov random potential

Details Diffusion of wave packets in a Markov random potential Diffusion of wave packets in a Markov random potential

2008-08-20

arxiv.org/abs/0808.2784v3

J. Stat. Phys. 134 (2009), 1005-1022.

Physics

Mathematical Physics

19 pages, acknowledgments added and typos corrected

Scientific paper

10.1007/s10955-009-9714-4

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.

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