A simple approach to Lieb-Thirring type inequalities

DOI10.1016/j.jfa.2023.110129arXiv2303.04504MaRDI QIDQ6075495

Robert Seiringer, Jan Philip Solovej

Publication date: 20 September 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.04504

zbMATH Keywords

density functional theorysemiclassicsLieb-Thirring inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Computational density functional analysis in statistical mechanics (82M36) Fermionic systems in quantum theory (81V74)

Cites Work

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• Hardy and Lieb-Thirring inequalities for anyons
• Balanced distribution-energy inequalities and related entropy bounds
• Lieb-Thirring inequality with semiclassical constant and gradient error term
• The Lieb-Thirring inequality revisited
• The local density approximation in density functional theory
• Stability of Matter. II
• Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

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