---
_id: '2707'
abstract:
- lang: eng
  text: 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:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Manfred
  full_name: Salmhofer, Manfred
  last_name: Salmhofer
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
citation:
  ama: Erdös L, Salmhofer M, Yau H. On the quantum Boltzmann equation. <i>Journal
    of Statistical Physics</i>. 2004;116(1-4):367-380. doi:<a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">10.1023/B:JOSS.0000037224.56191.ed</a>
  apa: Erdös, L., Salmhofer, M., &#38; Yau, H. (2004). On the quantum Boltzmann equation.
    <i>Journal of Statistical Physics</i>. Springer. <a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">https://doi.org/10.1023/B:JOSS.0000037224.56191.ed</a>
  chicago: Erdös, László, Manfred Salmhofer, and Horng Yau. “On the Quantum Boltzmann
    Equation.” <i>Journal of Statistical Physics</i>. Springer, 2004. <a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">https://doi.org/10.1023/B:JOSS.0000037224.56191.ed</a>.
  ieee: L. Erdös, M. Salmhofer, and H. Yau, “On the quantum Boltzmann equation,” <i>Journal
    of Statistical Physics</i>, vol. 116, no. 1–4. Springer, pp. 367–380, 2004.
  ista: Erdös L, Salmhofer M, Yau H. 2004. On the quantum Boltzmann equation. Journal
    of Statistical Physics. 116(1–4), 367–380.
  mla: Erdös, László, et al. “On the Quantum Boltzmann Equation.” <i>Journal of Statistical
    Physics</i>, vol. 116, no. 1–4, Springer, 2004, pp. 367–80, doi:<a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">10.1023/B:JOSS.0000037224.56191.ed</a>.
  short: L. Erdös, M. Salmhofer, H. Yau, Journal of Statistical Physics 116 (2004)
    367–380.
date_created: 2018-12-11T11:59:11Z
date_published: 2004-08-01T00:00:00Z
date_updated: 2021-01-12T06:59:11Z
day: '01'
doi: 10.1023/B:JOSS.0000037224.56191.ed
extern: 1
intvolume: '       116'
issue: 1-4
month: '08'
page: 367 - 380
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4189'
quality_controlled: 0
status: public
title: On the quantum Boltzmann equation
type: journal_article
volume: 116
year: '2004'
...