The Dilute Fermi Gas via Bogoliubov Theory

@article{Falconi2021TheDF,
  title={The Dilute Fermi Gas via Bogoliubov Theory},
  author={Marco Falconi and Emanuela L Giacomelli and Christian Hainzl and Marcello Porta},
  journal={Annales Henri Poincare},
  year={2021},
  volume={22},
  pages={2283 - 2353}
}
We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimensions. We compute the ground state energy of the system, for positive interaction potentials. We recover a well-known expression for the ground state energy at second order in the particle density, which depends on the interaction potential only via its scattering length. The first proof of this result has been given by Lieb, Seiringer and Solovej (Phys Rev A 71:053605, 2005). In this paper, we… 
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