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We study the macroscopic scaling and weak coupling limit for a random Schrödinger equation on$$\mathbb{Z}^3$$. We prove that the Wigner transforms of a large class of “macroscopic” solutions converge in r th mean to solutions of a linear Boltzmann equation, for any 1 ≤  r

Convergence in Higher Mean of a Random Schrödinger to a Linear Boltzmann Evolution