@article{2731,
abstract = {We study the time evolution of a quantum particle in a Gaussian random environment. We show that in the weak coupling limit the Wigner distribution of the wave function converges to a solution of a linear Boltzmann equation globally in time. The Boltzmann collision kernel is given by the Born approximation of the quantum differential scattering cross section.},
author = {László Erdös and Yau, Horng-Tzer},
journal = {Communications on Pure and Applied Mathematics},
number = {6},
pages = {667 -- 735},
publisher = {Wiley-Blackwell},
title = {{Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation}},
doi = {10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5},
volume = {53},
year = {2000},
}