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