Diffusive Scaling for All Moments of the Markov Anderson Model

作者：Musselman C^*; Schenker J

来源：Markov Processes and Related Fields, 2015, 21(3): 751-778.

• diffusion
• Markov processes
• wave propagation
• random Schrodinger equation

We consider a tight-binding Schrodinger equation with time dependent diagonal noise, given as a function of a Markov process. This model was considered previously by Kang and Schenker [5], who proved that the wave propagates diffusively. We revisit the proof of diffusion so as to obtain a uniform bound on exponential moments of the wave amplitude and a central limit theorem that implies, in particular, diffusive scaling for all position moments of the mean wave amplitude.

• 出版日期2015