The local density approximation in density functional theory

DOI10.2140/paa.2020.2.35zbMath1435.35320arXiv1903.04046OpenAlexW3102815970MaRDI QIDQ2289358

Elliott H. Lieb, Mathieu Lewin, Robert Seiringer

Publication date: 28 January 2020

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04046

zbMATH Keywords

Schrödinger operatorsdensity functional theorystatistical mechanicsuniform electron gas

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Quantum equilibrium statistical mechanics (general) (82B10) Molecular physics (81V55) Computational density functional analysis in statistical mechanics (82M36)

Related Items (20)

Coulomb and Riesz gases: The known and the unknown ⋮ The Lieb–Thirring inequalities: Recent results and open problems ⋮ Born-Oppenheimer potential energy surfaces for Kohn-Sham models in the local density approximation ⋮ Building Kohn-Sham potentials for ground and excited states ⋮ Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation ⋮ Coupled-Cluster theory revisited ⋮ A simple approach to Lieb-Thirring type inequalities ⋮ Universal diagonal estimates for minimizers of the Levy-Lieb functional ⋮ The work of Elliott Lieb ⋮ Classical density functional theory: representability and universal bounds ⋮ The validity of the local density approximation for smooth short range interaction potentials ⋮ On the spectrum of the one-particle density matrix ⋮ Mean-field model for the junction of two quasi-1-dimensional quantum Coulomb systems ⋮ The nonlinear Schrödinger equation for orthonormal functions. II: Application to Lieb-Thirring inequalities ⋮ The Lieb-Thirring inequality for interacting systems in strong-coupling limit ⋮ Floating Wigner crystal and periodic jellium configurations ⋮ Improved Lieb-Oxford bound on the indirect and exchange energies ⋮ Eigenvalue asymptotics for the one-particle density matrix ⋮ Differential equations of quantum mechanics ⋮ Analyticity of the one-particle density matrix

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