Erdos, LaszloSalmhofer, ManfredYau, Horng-Tzer2017-05-182004Erdős, László, Manfred Salmhofer, and Horng-Tzer Yau. 2004. “On the Quantum Boltzmann Equation.” Journal of Statistical Physics 116 (1-4) (August): 367–380. doi:10.1023/b:joss.0000037224.56191.ed.0022-4715http://nrs.harvard.edu/urn-3:HUL.InstRepos:32706725We 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 quasifreenessin 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.en-USquantum Boltzmann equationSchrödinger equationquasifree statesmany-fermion systemsWigner transformJournal Article2017-05-1810.1023/B:JOSS.0000037224.56191.ed