04-252 Thomas Chen
L^r-Convergence of a Random Schr\"odinger to a Linear Boltzmann Evolution (147K, AMS Latex) Aug 15, 04
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Abstract. We study the macroscopic scaling and weak coupling limit for a random Schr\"odinger equation on $\Z^3$. 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 finite value of $r\in\R_+$. This extends previous results where convergence in expectation was established.

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