TY - JOUR
AB - We study the long time evolution of a quantum particle interacting with a random potential in the Boltzmann-Grad low density limit. We prove that the phase space density of the quantum evolution defined through the Husimi function converges weakly to a linear Boltzmann equation. The Boltzmann collision kernel is given by the full quantum scattering cross-section of the obstacle potential.
AU - Eng, David
AU - László Erdös
ID - 2744
IS - 6
JF - Reviews in Mathematical Physics
TI - The linear Boltzmann equation as the low density limit of a random Schrödinger equation
VL - 17
ER -