Effective dynamics of extended Fermi gases in the high-density regime
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Publication:6165437
DOI10.1007/s00220-023-04677-xzbMath1530.35310arXiv2204.07222OpenAlexW4327936854MaRDI QIDQ6165437
Marcello Porta, Benjamin Schlein, Luca Fresta
Publication date: 4 July 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.07222
PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) PDEs in connection with statistical mechanics (35Q82) Fermionic systems in quantum theory (81V74)
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Cites Work
- From the Hartree dynamics to the Vlasov equation
- 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
- Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction
- Scaling limits in statistical mechanics and microstructures in continuum mechanics
- Error bound for the Hartree-Fock energy of atoms and molecules
- 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
- 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
- Effective dynamics of a tracer particle interacting with an ideal Bose gas
- Correlation energy of a weakly interacting Fermi gas
- Bosonization of fermionic many-body dynamics
- On the correlation energy of interacting fermionic systems in the mean-field regime
- Mean field evolution of fermions with Coulomb interaction
- On the \(L^2\) rate of convergence in the limit from the Hartree to the Vlasov-Poisson equation
- Mean-Field Evolution of Fermionic Mixed States
- Effective Evolution Equations from Quantum Dynamics
- The Stability of Matter in Quantum Mechanics
- On the Vlasov hierarchy
- THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
- A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS
- Mean-field dynamics of fermions with relativistic dispersion
- The Hartree and Vlasov equations at positive density
- Mean-field evolution of fermionic systems
- Correlation energy of a weakly interacting Fermi gas with large interaction potential
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