• Corpus ID: 255546264

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

  title={Derivation of the Gross-Pitaevskii Theory for Interacting Fermions in a Trap},
  author={Andrea Calignano and Michele Correggi},
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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  • Physics
    Bollettino dell'Unione Matematica Italiana
  • 2020
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