Magnetic Lieb--Thirring inequalities on the torus

2023/05/31 by Alexei Ilyin, Ilyin, Alexei, Ари Лаптев +1
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2305.20023

openalex publication_date 2023/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove Lieb--Thirring inequalities for magnetic Schrödinger operators on the torus, where the constants in the inequalities depend on the magnetic flux.

Related

• One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators
• Remarks on eigenvalue estimates and semigroup domination
• Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators
• Lieb-Thirring constant on the sphere and on the torus
• Lieb-Thirring inequalities on some manifolds