The Lieb-Thirring inequality revisited

DOI10.4171/JEMS/1062zbMath1467.35014arXiv1808.09017OpenAlexW3152367160MaRDI QIDQ2039585

Dirk Hundertmark, Rupert L. Frank, Phan Thành Nam, Michal Jex

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09017

zbMATH Keywords

Schrödinger operatorSobolev inequalityLieb-Thirring inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (13)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ A simple approach to Lieb-Thirring type inequalities ⋮ Magnetic Lieb-Thirring inequalities on the torus ⋮ Lieb-Thirring inequalities on manifolds with constant negative curvature ⋮ Cwikel's bound reloaded ⋮ Attractors. Then and now ⋮ Lieb-Thirring inequalities and other functional inequalities for orthonormal systems ⋮ Lieb-Thirring constant on the sphere and on the torus ⋮ Seven useful questions in density functional theory ⋮ Binding of atoms in Müller theory ⋮ The nonlinear Schrödinger equation for orthonormal functions. II: Application to Lieb-Thirring inequalities ⋮ Lieb-Thirring inequalities for wave functions vanishing on the diagonal set ⋮ On factorisation of a class of Schrödinger operators

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