Convergence in higher mean of a random Schroedinger to a linear Boltzmann evolution

Details Convergence in higher mean of a random Schroedinger to a linear Boltzmann evolution Convergence in higher mean of a random Schroedinger to a linear Boltzmann evolution

2004-07-19

arxiv.org/abs/math-ph/0407037v5

Comm. Math. Phys. 267, 355 - 392 (2006).

Physics

Mathematical Physics

AMS-Latex, 36 pages, 3 figures. Title reworded. Final version, to appear in Commun. Math. Phys

Scientific paper

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.

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