Mini-workshop: Mathematics of many-body fermionic systems. Abstracts from the mini-workshop held October 29 -- November 4, 2023

DOI10.4171/owr/2023/49zbMATH Open1546.00068MaRDI QIDQ6613393

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Publication date: 2 October 2024

Published in: Oberwolfach Reports (Search for Journal in Brave)

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) PDEs in connection with optics and electromagnetic theory (35Q60) General topics in linear spectral theory for PDEs (35P05) Proceedings, conferences, collections, etc. pertaining to quantum theory (81-06) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Collections of abstracts of lectures (00B05) Quantum equilibrium statistical mechanics (general) (82B10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06) Vlasov equations (35Q83) Boltzmann equations (35Q20) Fermionic systems in quantum theory (81V74)

Cites Work

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• Kac's program in kinetic theory
• Rigorous foundations of the Brockett-Wegner flow for operators
• Rigorous results concerning the Holstein-Hubbard model
• Über die Bewegung der Elektronen im Kristallgitter.
• Ground state properties of the SSH model
• Polaron models with regular interactions at strong coupling
• Continuous renormalization for fermions and Fermi liquid theory
• \(L^2\) estimates for Weyl quantization
• Ferromagnetism in the Hubbard model. Examples from models with degenerate single-electron ground states
• Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
• Perturbation theory around nonnested Fermi surfaces. I: Keeping the Fermi surface fixed.
• Weak coupling limit of the \(N\)-particle Schrödinger equation
• Lieb-Thirring inequality with semiclassical constant and gradient error term
• Determination of the spectral gap for Kac's master equation and related stochastic evolution.
• Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
• Electron-phonon interaction in Kondo lattice systems
• The dilute Fermi gas via Bogoliubov theory
• Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation
• Correlation energy of a weakly interacting Fermi gas
• On the effective quasi-bosonic Hamiltonian of the electron gas: collective excitations and plasmon modes
• Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate
• The local density approximation in density functional theory
• On the correlation energy of interacting fermionic systems in the mean-field regime
• Empirical measures and quantum mechanics: applications to the mean-field limit
• Stability of ferromagnetism in many-electron systems
• Weyl asymptotic formula for the Laplacian on domains with rough boundaries
• Free time evolution of a tracer particle coupled to a Fermi gas in the high-density limit
• Ground state properties of the Holstein-Hubbard model
• Renormalization in condensed matter: fermionic systems - from mathematics to materials
• Fermi liquid behavior in the 2D Hubbard model at low temperatures
• The Hubbard model at half-filling. III: The lower bound on the self-energy
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• Effective mass of the Polaron: a lower bound
• An inversion theorem in Fermi surface theory
• Fermionic renormalization group flows. Technique and theory
• Correlation Energy of an Electron Gas at High Density: Plasma Oscillations
• Variational Methods based on the Density Matrix
• Ground-State Energy of a Many-Fermion System
• Ordering Energy Levels of Interacting Spin Systems
• Dynamical adjustment of propagators in Renormalization Group flows
• ON THE MINIMIZATION OF HAMILTONIANS OVER PURE GAUSSIAN STATES
• SINGULAR FERMI SURFACES I: GENERAL POWER COUNTING AND HIGHER DIMENSIONAL CASES
• SINGULAR FERMI SURFACES II: THE TWO-DIMENSIONAL CASE
• Regularity of the moving Fermi surface: RPA contributions
• Regularity of interacting nonspherical Fermi surfaces: The full self-energy
• Improved Power Counting and Fermi Surface Renormalization
• Flow‐equations for Hamiltonians
• Fermionic Functional Integrals and the Renormalization Group
• A DECOMPOSITION THEOREM FOR WAVE FUNCTIONS IN MOLECULAR QUANTUM CHEMISTRY
• The effective mass problem for the Landau–Pekar equations
• The Random Batch Method for N-Body Quantum Dynamics
• Generalization of Lieb's variational principle to Bogoliubov–Hartree–Fock theory
• Electron Correlation and Ferromagnetism of Transition Metals
• Some Properties of the Reduced Density Matrix
• Antiferromagnetism
• Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction
• Correlation Energy of an Electron Gas at High Density
• Correlation Energy of an Electron Gas at High Density
• Interacting Fermi liquid in two dimensions at finite temperature. II: Renormalization.
• Interacting Fermi liquid in two dimensions at finite temperature. I: Convergent attributions.
• Density Functional Theory
• A simple approach to Lieb-Thirring type inequalities
• Absence of submultiplicative norms for Wick-ordered operator products
• Full derivation of the wave kinetic equation
• Ground state properties of the periodic Anderson model with electron-phonon interactions
• Correlation energy of a weakly interacting Fermi gas with large interaction potential
• The Gell-Mann-Brueckner formula for the correlation energy of the electron gas: a rigorous upper bound in the mean-field regime
• An optimal upper bound for the dilute Fermi gas in three dimensions
• Hilbert-Schmidt estimates for fermionic 2-body operators
• Weyl's law for Neumann Schrödinger operators on Hölder domains
• Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model

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