We consider fermionic systems in a joint mean field and semiclassical limit. We show how bosonic Bogoliubov theory can be used to describe corrections to the predictions of Hartree-Fock theory and to derive a formula, due to Gell-Mann and Brueckner, for the correlation energy. The talk is based on joint works with N. Benedikter, P.T. Nam, M. Porta and R. Seiringer.
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