Lieb-Thirring inequality for a model of particles with point interactions

DOI10.1063/1.3697416zbMath1278.81061arXiv1112.5617OpenAlexW3099689865MaRDI QIDQ2872264

Rupert L. Frank, Robert Seiringer

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1112.5617

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) (2)-body potential quantum scattering theory (81U05) Molecular physics (81V55)

Related Items (15)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Fermionic behavior of ideal anyons ⋮ STABILITY FOR A SYSTEM OF N FERMIONS PLUS A DIFFERENT PARTICLE WITH ZERO-RANGE INTERACTIONS ⋮ Hardy and Lieb-Thirring inequalities for anyons ⋮ Lieb-Thirring inequality with semiclassical constant and gradient error term ⋮ Exclusion bounds for extended anyons ⋮ Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics ⋮ Triviality of a model of particles with point interactions in the thermodynamic limit ⋮ The Lieb-Thirring inequality for interacting systems in strong-coupling limit ⋮ Fractional Hardy-Lieb-Thirring and related inequalities for interacting systems ⋮ Unnamed Item ⋮ Lieb-Thirring inequalities for wave functions vanishing on the diagonal set ⋮ Lieb-Thirring bounds for interacting Bose gases ⋮ Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday ⋮ A Lieb-Thirring inequality for extended anyons

Cites Work

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• Lieb-Thirring inequalities with improved constants
• L^PEstimates for fractional integrals and sobolev inequalities with applications to schrödinger operators
• Energy forms, Hamiltonians, and distorted Brownian paths
• Stability of Matter. I

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