On the quantum Boltzmann equation
László Erdös
Salmhofer, Manfred
Yau, Horng-Tzer
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.
Springer
2004
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https://research-explorer.app.ist.ac.at/record/2707
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>
info:eu-repo/semantics/altIdentifier/doi/10.1023/B:JOSS.0000037224.56191.ed
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