Author(s):

Erdős, László; Salmhofer, Manfred; Yau, HorngTzer

Article Title: 
On the quantum Boltzmann equation

Affiliation 

Abstract: 
We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrödinger 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 fourpoint and the eightpoint functions of the state factorize in the same manner as in a quasifree state.

Keywords: 
Quantum Boltzmann equation; manyfermion systems; quasifree states; Schrödinger equation; Wigner transform

Journal Title:

Journal of Statistical Physics

Volume: 
116

Issue 
14

ISSN:

15729613

Publisher:

Springer

Date Published:

20040801

Start Page: 
367

End Page:

380

DOI: 
10.1023/B:JOSS.0000037224.56191.ed

Open access: 
no 