Correlation energy of weakly interacting Fermi gases

Abstract: We consider Fermi gases in a mean-field regime. To leading order, the ground state energy is given by Hartree-Fock theory. The correction to the Hartree-Fock energy, produced by the many-body interaction, is known as correlation energy. In this talk, we obtain a formula for the correlation energy, based on the observation that, energetically, the main excitations of the Fermi sea are particle-hole pairs that behave, approximately, as bosons and can therefore be dealt with through (bosonic) Bogoliubov theory. The talk is based on joint works with N. Benedikter, P.T. Nam, M. Porta and R. Seiringer.

mathematical physics

Audience: researchers in the discipline

( video )

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