# Derivation of the Gross-Pitaevskii Theory for Interacting Fermions in a Trap

@inproceedings{Calignano2022DerivationOT, title={Derivation of the Gross-Pitaevskii Theory for Interacting Fermions in a Trap}, author={Andrea Calignano and Michele Correggi}, year={2022} }

We study a dilute gas of interacting fermions at temperature T = 0 and chemical potential µ ∈ R . The particles are trapped by an external potential, and they interact via a microscopic attractive two-body potential with a two-body bound state. We prove the emergence of the macroscopic Gross-Pitaevskii theory as ﬁrst-order contribution to the BCS energy functional in the regime of vanishing micro-to-macro scale parameter

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