A Lieb–Thirring type inequality for magnetic Schrödinger operators with a radial symmetry

DOI10.1007/978-3-030-31531-3_11zbMath1448.35124OpenAlexW3042465726MaRDI QIDQ5118014

Françoise Truc, Diana Barseghyan

Publication date: 26 August 2020

Published in: Analysis as a Tool in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31531-3_11

zbMATH Keywords

eigenvalue boundsmagnetic Schrödinger operatorsLieb-Thirring inequalitiesradial magnetic field

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• On the Schrödinger equation and the eigenvalue problem
• Lieb-Thirring inequalities on the half-line with critical exponent
• Pólya's conjecture in the presence of a constant magnetic field
• Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
• Diamagnetic behavior of sums of Dirichlet eigenvalues
• Sharp Lieb-Thirring inequalities in high dimensions.
• Gaussian decay of the magnetic eigenfunctions
• Semiclassical bounds in magnetic bottles
• On the Lawrence–Doniach and Anisotropic Ginzburg–Landau Models for Layered Superconductors
• Improved Berezin—Li—Yau inequalities with magnetic field

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