Discrete spectrum of the magnetic Laplacian on perturbed half-planes

Virginie Bonnaillie-Noël; Søren Fournais; Ayman Kachmar; Nicolas Raymond

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arXiv · 2208.13646

Discrete spectrum of the magnetic Laplacian on perturbed half-planes

Virginie Bonnaillie-Noël·Søren Fournais·Ayman Kachmar·Nicolas Raymond

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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.

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Virginie Bonnaillie-Noël, Søren Fournais, Ayman Kachmar, Nicolas Raymond. 2022-08-29. Discrete spectrum of the magnetic Laplacian on perturbed half-planes. https://arxiv.org/abs/2208.13646

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