TY - JOUR
AB - 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.
AU - László Erdös
AU - Yau, Horng-Tzer
ID - 2731
IS - 6
JF - Communications on Pure and Applied Mathematics
TI - Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
VL - 53
ER -