  We consider the quantum many-body evolution of a homogeneous Fermi gas in
three dimensions in the coupled semiclassical and mean-field scaling regime. We
study a class of initial data describing collective particle-hole pair
excitations on the Fermi ball. Using a rigorous version of approximate
bosonization, we prove that the many-body evolution can be approximated in Fock
space norm by a quasifree bosonic evolution of the collective particle-hole
excitations.
