On the quantum Boltzmann equation
Mathematical Physics
2009-11-10 v1 Functional Analysis
math.MP
Abstract
We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrodinger evolution of interacting fermions. The argument is based mainly on the assumption that a quasifree initial state satisfies a property called restricted quasifreeness in the weak coupling limit at any later time. By definition, a state is called restricted quasifree if the four-point and the eight-point functions of the state factorize in the same manner as in a quasifree state.
Cite
@article{arxiv.math-ph/0302034,
title = {On the quantum Boltzmann equation},
author = {Laszlo Erdos and Manfred Salmhofer and Horng-Tzer Yau},
journal= {arXiv preprint arXiv:math-ph/0302034},
year = {2009}
}
Comments
15 pages