Discrete spectrum of the magnetic Laplacian on perturbed half‐planes

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Authors

Virginie Bonnaillie‐Noël · Centre National de la Recherche Scientifique

Søren Fournais · University of Copenhagen

Ayman Kachmar · Chinese University of Hong Kong, Shenzhen

Nicolas Raymond · Centre National de la Recherche Scientifique

Abstract

Abstract The existence of bound states for the magnetic Laplacian in unbounded domains can be quite challenging in the case of a homogeneous magnetic field. We provide an affirmative answer for almost flat corners and slightly curved half‐planes when the total curvature of the boundary is positive.

Topics & Keywords

Spectral Theory in Mathematical Physics Advanced Mathematical Modeling in Engineering Numerical methods in inverse problems

Publication Details

Published in: Bulletin of the London Mathematical Society

Volume 56, Issue 7, pp. 2529-2551

DOI: 10.1112/blms.13070

Field-Weighted Citation Impact: 2.67

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Discrete spectrum of the magnetic Laplacian on perturbed half‐planes

Authors

Abstract

Topics & Keywords

Publication Details