Convergence in higher mean of a random Schroedinger to a linear Boltzmann evolution
Mathematical Physics
2007-05-23 v5 math.MP
Abstract
We study the macroscopic scaling and weak coupling limit for a random Schroedinger 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.
Cite
@article{arxiv.math-ph/0407037,
title = {Convergence in higher mean of a random Schroedinger to a linear Boltzmann evolution},
author = {Thomas Chen},
journal= {arXiv preprint arXiv:math-ph/0407037},
year = {2007}
}
Comments
AMS-Latex, 36 pages, 3 figures. Title reworded. Final version, to appear in Commun. Math. Phys