%0 Generic %1 benedikter2020correlation %A Benedikter, Niels %A Nam, Phan Thành %A Porta, Marcello %A Schlein, Benjamin %A Seiringer, Robert %D 2020 %K Fermi Gas %T Correlation Energy of a Weakly Interacting Fermi Gas %U http://arxiv.org/abs/2005.08933 %X We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree-Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.

@misc{benedikter2020correlation, abstract = {We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree-Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.}, added-at = {2021-07-01T21:35:31.000+0200}, author = {Benedikter, Niels and Nam, Phan Thành and Porta, Marcello and Schlein, Benjamin and Seiringer, Robert}, biburl = {https://www.bibsonomy.org/bibtex/28fe00bc3ed8bde9d505cdfe86c43b82f/gzhou}, description = {Correlation Energy of a Weakly Interacting Fermi Gas}, interhash = {f0802122d23790f5bb48c132a898eaa9}, intrahash = {8fe00bc3ed8bde9d505cdfe86c43b82f}, keywords = {Fermi Gas}, note = {cite arxiv:2005.08933Comment: 69 pages, 2 figures; v2: additional references on lattice point counting; v3: expanded introduction and list of references}, timestamp = {2021-07-01T21:35:31.000+0200}, title = {Correlation Energy of a Weakly Interacting Fermi Gas}, url = {http://arxiv.org/abs/2005.08933}, year = 2020 }