Breaking a magnetic zero locus: model operators and numerical approach

DOI10.1002/zamm.201300086zbMath1322.35096OpenAlexW1593140282MaRDI QIDQ3195022

Virginie Bonnaillie-Noël, Nicolas Raymond

Publication date: 21 October 2015

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201300086

zbMATH Keywords

Schrödinger operatorspectrumsingular zero locus

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Magnetic WKB constructions ⋮ Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field ⋮ Breakdown of superconductivity in a magnetic field with self-intersecting zero set

Cites Work

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• On the spectrum of curved planar waveguides
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• Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate Wells
• Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
• Topologically nontrivial quantum layers
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• The Montgomery model revisited
• Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.

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