Thomas Chen
L^r-Convergence of
a Random Schr\"odinger to a Linear
Boltzmann Evolution
(147K, AMS Latex)
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.