Radiative transport limit for the random Schr\"odinger equation
Chaotic Dynamics
2015-06-26 v1
Abstract
We give a detailed mathematical analysis of the radiative transport limit for the average phase space density of solutions of the Schroedinger equation with time dependent random potential. Our derivation is based on the construction of an approximate martingale for the random Wigner distribution.
Keywords
Cite
@article{arxiv.nlin/0108023,
title = {Radiative transport limit for the random Schr\"odinger equation},
author = {Guillaume Bal and George Papanicolaou and Leonid Ryzhik},
journal= {arXiv preprint arXiv:nlin/0108023},
year = {2015}
}