10.1023/B:JOSS.0000037224.56191.ed
László Erdös
László
Erdös0000-0001-5366-9603
Salmhofer, Manfred
Manfred
Salmhofer
Yau, Horng-Tzer
Horng
Yau
On the quantum Boltzmann equation
Springer
2004
2018-12-11T11:59:11Z
2019-04-26T07:22:18Z
journal_article
https://research-explorer.app.ist.ac.at/record/2707
https://research-explorer.app.ist.ac.at/record/2707.json
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.