Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field
type: Item
instance of: scholarly article
title: Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field
zbMATH Open document ID: 1398.35032
author: Jean-Philippe Miqueu
published in: Annales Henri Poincaré
publication date: 2018-07-26T00:00:00Z
full work available at URL: Thèse JPMiqueu.pdf
review text: The paper is concerned with the spectral analysis of the magnetic Laplace operator with semiclassical positive parameter \(h>0\). This study is performed in the framework of bounded domains with smooth boundary in \(\mathbb {R}^2\) with Neumann magnetic boundary condition. A feature of this paper is that the magnetic field is assumed to vanish along a smooth curve intersecting the boundary. The main results of this paper describe the asymptotic behavior of the eigenvalues and the associated eigenfunctions when the semiclassical parameter \(h\) tends to \(0\).
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 6910612
zbMATH Keywords: Neumann magnetic Laplacian
zbMATH Keywords: eigenstate
zbMATH Keywords: vanishing magnetic field
MaRDI profile type: Publication
OpenAlex ID: W2803087560
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Wikidata QID: Q129977598
DOI: 10.1007/S00023-018-0681-7
description: scientific article; zbMATH DE number 6910612