Magnetic Lieb-Thirring inequalities on the torus

DOI10.4171/jst/470arXiv2305.20023MaRDI QIDQ6146944

Unnamed Author, A. A. Laptev

Publication date: 31 January 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.20023

zbMATH Keywords

Lieb-Thirring inequalitiesmagnetic Schrödinger operatorinterpolation inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Lieb-Thirring inequalities with improved constants
• A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension
• Sharp Lieb-Thirring inequalities in high dimensions.
• On the sharp constant in the ``magnetic 1D embedding theorem
• Interpolation inequalities and spectral estimates for magnetic operators
• The Lieb-Thirring inequality revisited
• Lieb-Thirring constant on the sphere and on the torus
• One-Dimensional Interpolation Inequalities, Carlson–Landau Inequalities, and Magnetic Schrödinger Operators
• Lieb-Thirring inequalities on the torus
• Magnetic rings
• Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities
• Magnetic Lieb–Thirring inequality for periodic functions

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