Abstract
AbstractWe consider an effective quasi-bosonic Hamiltonian of the electron gas which emerges naturally from the random phase approximation and describes the collective excitations of the gas. By a rigorous argument, we explain how the plasmon modes can be interpreted as a special class of approximate eigenstates of this model.
Funder
DFG Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Reference23 articles.
1. Bach, V.: Error bound for the Hartree-Fock energy of atoms and molecules. Commun. Math. Phys. 147, 527–548 (1992)
2. Benedikter, N.: Bosonic collective excitations in fermi gases. Rev. Math. Phys. 32, 2060009 (2020)
3. Benedikter, N., Nam, P.T., Porta, M., Schlein, B., Seiringer, R.: Optimal upper bound for the correlation energy of a fermi gas in the mean-field regime. Commun. Math. Phys. 374, 2097–2150 (2020)
4. Benedikter, N., Nam, P.T., Porta, M., Schlein, B., Seiringer, R.: Correlation energy of a weakly interacting Fermi gas. Invent. Math. 225, 885–979 (2021)
5. Benedikter, N., Nam, P.T., Porta, M., Schlein, B., Seiringer, R.: Bosonization of Fermionic many-body dynamics. Ann. Henri Poincaré 23, 1725–1764 (2022)
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