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Presented By: Differential Equations Seminar - Department of Mathematics

Differential Equations Seminar: Quantum Boltzmann dynamics around the Fermi ball

Esteban Cardenas (UT Austin)

In this talk, we present new partial results on the derivation of quantum Boltzmann dynamics for a weakly interacting Fermi gas. We describe the time evolution of states that are perturbations of the Fermi ball, and analyze the dynamics in particle-hole variables. Our main result states that, for small values of the coupling constant and for appropriate initial data, the effective dynamics of the momentum distribution is determined to leading order by a discrete collision operator of quantum Boltzmann form.

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