Erdos, LaszloYau, Horng-Tzer2017-05-182000Erdős, László, and Horng‐Tzer Yau. "Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation." Communications on Pure and Applied Mathematics 53, no. 6 (2000): 667-735.0010-3640http://nrs.harvard.edu/urn-3:HUL.InstRepos:32706732We 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.en-USJournal Article2017-05-1810.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5