The Linear Boltzmann Equation as the Low Density Limit of a Random Schrodinger Equation
Mathematical Physics
2009-11-10 v2 math.MP
Abstract
We study the evolution of a quantum particle interacting with a random potential in the low density limit (Boltzmann-Grad). The phase space density of the quantum evolution defined through the Husimi function converges weakly to a linear Boltzmann equation with collision kernel given by the full quantum scattering cross section.
Keywords
Cite
@article{arxiv.math-ph/0412044,
title = {The Linear Boltzmann Equation as the Low Density Limit of a Random Schrodinger Equation},
author = {David Eng and Laszlo Erdos},
journal= {arXiv preprint arXiv:math-ph/0412044},
year = {2009}
}
Comments
74 pages, 4 figures, (Final version -- typos corrected)