Convergence in higher mean of a random Schroedinger to a linear Boltzmann evolution
Abstract
We study the macroscopic scaling and weak coupling limit for a random Schroedinger equation on Z3. 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 finite value of r in R+. This extends previous results where convergence in expectation was established.
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