Bosonic collective excitations in Fermi gases

DOI10.1142/S0129055X20600090zbMath1499.81101arXiv1910.08190MaRDI QIDQ5156024

Niels Benedikter

Publication date: 14 October 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08190

zbMATH Keywords

collective excitationsplasmonrandom phase approximation

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (7)

Effective dynamics of interacting fermions from semiclassical theory to the random phase approximation ⋮ Bosonization of fermionic many-body dynamics ⋮ The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime ⋮ Correlation energy of a weakly interacting Fermi gas with large interaction potential ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Correlation energy of a weakly interacting Fermi gas ⋮ On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes

Cites Work

• Unnamed Item
• The excitation spectrum for weakly interacting Bosons in a trap
• The free energy of the quantum Heisenberg ferromagnet at large spin
• Interaction corrections to spin-wave theory in the large-\(S\) limit of the quantum Heisenberg ferromagnet
• The Dirac-Frenkel principle for reduced density matrices, and the Bogoliubov-de Gennes equations
• Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
• On the correlation energy of interacting fermionic systems in the mean-field regime
• Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
• Effective Evolution Equations from Quantum Dynamics
• Correlation Energy of an Electron Gas at High Density: Plasma Oscillations
• A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS
• Mean-field dynamics of fermions with relativistic dispersion
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• A Collective Description of Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas
• Mean-field evolution of fermionic systems
• Correlation Energy of an Electron Gas at High Density

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