Diffusion of wave packets in a Markov random potential
classification
🧮 math-ph
math.MP
keywords
potentialwavemarkovpacketaccordingamplitudebindingconsider
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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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