Lieb-Thirring inequalities on the half-line with critical exponent
Tomas Ekholm, Rupert L. Frank
Abstract
We consider a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin and show that moments of its negative eigenvalues can be estimated by the part of the potential that is larger than the critical Hardy weight. The estimate is valid for the critical value of the moment parameter.
Create a lesson
Related papers
Essential spectral geometry of the Maxwell system in unbounded domains
Francesco Ferraresso, Marco Marletta
Solving Inverse Dirac-weighted Sturm-Liouville Problems via Cauchy problems
Min Zhao, Jiangang Qi, and Xiao Chen
Uniform High-Frequency Localization on Quantum Graphs
Binh T. Nguyen
Irreducibility of the Bloch variety for periodic Schrödinger operators in arbitrary dimension
Wencai Liu
Weighted heat traces of the Dirichlet Laplacian on Lipschitz domains
Lucas Kersten
An inverse problem on eigenfunction triple products
Carl Schildkraut, Romain Speciel