On the fundamental state for a Schrödinger operator with magnetic field in a domain with corners.

DOI10.1016/S1631-073X(03)00008-6zbMath1038.35043MaRDI QIDQ1871494

Virginie Bonnaillie

Publication date: 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatoressential spectrumlowest eigenvaluesector

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Analyse numérique de la supraconductivité (Numerical analysis of superconductivity). ⋮ A posteriori error estimator for the eigenvalue problem associated to the Schrödinger operator with magnetic field ⋮ Energy asymptotics for type II superconductors

Cites Work

• Unnamed Item
• Upper critical field for superconductors with edges and corners
• Sur une classe d'opérateurs elliptiques et dégénérées à une variable
• The onset of superconductivity in a domain with a corner
• Onset of superconductivity in decreasing fields for general domains
• Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
• Boundary concentration for eigenvalue problems related to the onset of superconductivity
• Magnetic bottles in connection with superconductivity

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