Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrodinger Equation
Abstract
Description
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.
8 figures plus a style file called nume2.tex
8 figures plus a style file called nume2.tex