Lieb-Thirring inequalities on some manifolds
type: Item
instance of: scholarly article
title: Lieb-Thirring inequalities on some manifolds
zbMATH Open document ID: 1308.58004
DOI: 10.4171/JST/21
published in: Journal of Spectral Theory
publication date: 2012-05-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1104.2488
review text: Summary: We prove Lieb-Thirring inequalities with improved constants on the two-dimensional \(\mathbb S^2\) sphere and the two-dimensional torus \(\mathbb T^2\). In the one-dimensional periodic case we obtain a simultaneous bound for the negative trace and the number of negative eigenvalues.
Mathematics Subject Classification ID: 58C40
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 6033370
zbMATH Keywords: Lieb-Thirring inequalities
zbMATH Keywords: Schrödinger operators
MaRDI profile type: Publication
arXiv ID: 1104.2488
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author: Alexei A. Ilyin
description: scientific article; zbMATH DE number 6033370