Bosonic collective excitations in Fermi gases

N.P. Benedikter, Reviews in Mathematical Physics (2020) 2060009.


Journal Article | Epub ahead of print | English

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Abstract
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 interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.
Publishing Year
Date Published
2020-05-25
Journal Title
Reviews in Mathematical Physics
Article Number
2060009
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Cite this

Benedikter NP. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 2020:2060009. doi:10.1142/s0129055x20600090
Benedikter, N. P. (2020). Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics, 2060009. https://doi.org/10.1142/s0129055x20600090
Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics, 2020, 2060009. https://doi.org/10.1142/s0129055x20600090.
N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews in Mathematical Physics, p. 2060009, 2020.
Benedikter NP. 2020. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics., 2060009.
Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics, World Scientific, 2020, p. 2060009, doi:10.1142/s0129055x20600090.
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