Bosonic Collective Excitations in Fermi Gases

@article{Benedikter2019BosonicCE,
  title={Bosonic Collective Excitations in Fermi Gases},
  author={Niels Benedikter},
  journal={arXiv: Mathematical Physics},
  year={2019}
}
Hartree-Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb… Expand
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The dilute Fermi gas via Bogoliubov theory
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