The validity of the local density approximation for smooth short range interaction potentials

DOI10.1063/5.0012228zbMath1454.81258arXiv2004.12746OpenAlexW3105129579MaRDI QIDQ5141151

Nicco Mietzsch

Publication date: 17 December 2020

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

Full work available at URL: https://arxiv.org/abs/2004.12746

zbMATH Keywords

density functional theory

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Atomic physics (81V45) Quantum equilibrium statistical mechanics (general) (82B10) Molecular physics (81V55) Computational density functional analysis in statistical mechanics (82M36) Fermionic systems in quantum theory (81V74)

Related Items (1)

Classical density functional theory: representability and universal bounds

Cites Work

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• Geometric methods for nonlinear many-body quantum systems
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• Lieb-Thirring inequality with semiclassical constant and gradient error term
• Convergence of Levy-Lieb to Thomas-Fermi density functional
• On the molecular limit of Coulomb gases
• Generalized Hartree-Fock theory and the Hubbard model
• The local density approximation in density functional theory
• Statistical mechanics of the uniform electron gas

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