Eigenvalues upper bounds for the magnetic Schrödinger operator

DOI10.4310/CAG.2022.v30.n4.a3MaRDI QIDQ2682624

Bruno Colbois, Ahmad El Soufi, Alessandro Savo, Said Ilias

Publication date: 1 February 2023

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09482

zbMATH Keywords

cohomology groupmagnetic potentialHodge-de Rham Laplacianmean value of the scalar potential

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Compact Kähler manifolds: generalizations, classification (32J27) Manifolds and cell complexes (57-XX)

Related Items (5)

Geometric bounds for the magnetic Neumann eigenvalues in the plane ⋮ Dynamical confinement for Schrödinger operators with magnetic potential and Aharonov–Bohm effect ⋮ Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms ⋮ Magnetic field influence on the discrete spectrum of locally deformed leaky wires ⋮ Inequalities for the lowest magnetic Neumann eigenvalue

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