Effective dynamics of interacting fermions from semiclassical theory to the random phase approximation
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Publication:5884799
DOI10.1063/5.0091694OpenAlexW4289597929WikidataQ114102971 ScholiaQ114102971MaRDI QIDQ5884799
Publication date: 24 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.11255
Related Items (4)
On quantum Sobolev inequalities ⋮ A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation ⋮ Introduction to the special collection: International congress on mathematical physics 2021 ⋮ Norm convergence of confined fermionic systems at zero temperature
Cites Work
- From the Hartree dynamics to the Vlasov equation
- Steady states and universal conductance in a quenched Luttinger model
- Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states
- Mean-field limit and semiclassical expansion of a quantum particle system
- A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction
- Strong semiclassical approximation of Wigner functions for the Hartree dynamics
- The free energy of the quantum Heisenberg ferromagnet at large spin
- Free energy asymptotics of the quantum Heisenberg spin chain
- Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction
- From quantum to classical molecular dynamics: Reduced models and numerical analysis.
- On Wigner measures
- Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
- A new method and a new scaling for deriving fermionic mean-field dynamics
- 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
- Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
- Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
- The dilute Fermi gas via Bogoliubov theory
- Correlation energy of a weakly interacting Fermi gas
- Bosonization of fermionic many-body dynamics
- An optimal semiclassical bound on commutators of spectral projections with position and momentum operators
- Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data
- Semiclassical limit to the Vlasov equation with inverse power law potentials
- On the correlation energy of interacting fermionic systems in the mean-field regime
- Propagation of moments and semiclassical limit from Hartree to Vlasov equation
- Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
- Mean field evolution of fermions with Coulomb interaction
- Mean-field evolution of fermions with singular interaction
- The classical limit of the Heisenberg and time-dependent Hartree-Fock equations: the Wick symbol of the solution
- The semiclassical limit of the time dependent Hartree-Fock equation: the Weyl symbol of the solution
- Hartree-Fock dynamics for weakly interacting fermions
- Mean-Field Evolution of Fermionic Mixed States
- On the Vlasov hierarchy
- Semiclassical, $t\rightarrow \infty $ asymptotics and dispersive effects for Hartree-Fock systems
- THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
- Mixed states with positive Wigner functions
- From the Hartree Equation to the Vlasov--Poisson System: Strong Convergence for a Class of Mixed States
- Bosonic collective excitations in Fermi gases
- Mean-field dynamics of fermions with relativistic dispersion
- 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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