[{"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."}],"year":"2004","_id":"2707","date_published":"2004-08-01T00:00:00Z","citation":{"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>.","ista":"Erdös L, Salmhofer M, Yau H. 2004. On the quantum Boltzmann equation. Journal of Statistical Physics. 116(1–4), 367–380.","short":"L. Erdös, M. Salmhofer, H. Yau, Journal of Statistical Physics 116 (2004) 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>.","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>","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."},"day":"01","publist_id":"4189","quality_controlled":0,"doi":"10.1023/B:JOSS.0000037224.56191.ed","publisher":"Springer","publication":"Journal of Statistical Physics","type":"journal_article","publication_status":"published","status":"public","extern":1,"month":"08","page":"367 - 380","intvolume":"       116","volume":116,"date_updated":"2021-01-12T06:59:11Z","title":"On the quantum Boltzmann equation","issue":"1-4","author":[{"last_name":"Erdös","first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös"},{"first_name":"Manfred","last_name":"Salmhofer","full_name":"Salmhofer, Manfred"},{"first_name":"Horng","last_name":"Yau","full_name":"Yau, Horng-Tzer"}],"date_created":"2018-12-11T11:59:11Z"}]