@article{2707,
  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 four-point and the eight-point functions of the state factorize in the same manner as in a quasifree state.},
  author       = {László Erdös and Salmhofer, Manfred and Yau, Horng-Tzer},
  journal      = {Journal of Statistical Physics},
  number       = {1-4},
  pages        = {367 -- 380},
  publisher    = {Springer},
  title        = {{On the quantum Boltzmann equation}},
  doi          = {10.1023/B:JOSS.0000037224.56191.ed},
  volume       = {116},
  year         = {2004},
}