2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58275We 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.8 figures plus a style file called nume2.texMathematical PhysicsProbability76Y05text