Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains

DOI10.1090/S0002-9947-02-03033-7zbMath1004.35110OpenAlexW1547252458MaRDI QIDQ3151227

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Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03033-7

zbMATH Keywords

eigenvalueSturm-Liouville operatorGinzburg-Landau systemsuperconductivitynucleationRiccati type equationupper critical fieldSchrödinger operator with a magnetic field

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Cites Work

• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Semi-classical analysis for the Schrödinger operator and applications
• Stable nucleation for the Ginzburg-Landau system with an applied magnetic field
• Upper critical field for superconductors with edges and corners
• Estimates of the upper critical field for the Ginzburg-Landau equations of superconductivity
• Surface nucleation of superconductivity in 3-dimensions
• Ginzburg-Landau system and surface nucleation of superconductivity
• Upper critical field and location of surface nucleation of superconductivity
• Hearing the zero locus of a magnetic field
• Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Macroscopic Models for Superconductivity
• The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg--Landau Model
• Onset of superconductivity in decreasing fields for general domains
• Gauge Invariant Eigenvalue Problems in ℝⁿ and in ℝⁿ₊
• Boundary concentration for eigenvalue problems related to the onset of superconductivity
• Magnetic bottles in connection with superconductivity
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