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Its derivation from the many-body Schrodinger equation is open.","posed_since":"","precise":"$N$ fermions in $R^{3}$ with pair interaction $\\lambda V$, kinetic scaling $t = T \\lambda^{-2}$, $\\lambda \\to 0$. Prove that the Wigner function of the one-particle density matrix converges to a solution of the Uehling-Uhlenbeck (quantum Boltzmann) equation for $0 < T < T_{0}$. Answer: a proof.","problem_ref":null,"references":"","settled_by":"A convergence proof for the full many-body dynamics, not only for a truncated expansion.","status_note":"Erdos, Salmhofer and Yau (2004) derived the collision term to second order in a series expansion; the linear Boltzmann equation is proven for one particle in a random potential.","title":"Quantum Boltzmann equation from weakly interacting many-fermion 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