On the spectra and eigenfunctions of the Schrödinger and Maxwell operators

DOI10.1016/0022-247X(85)90123-4zbMath0585.35072OpenAlexW1995243628MaRDI QIDQ1071179

B. George

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90123-4

zbMATH Keywords

eigenvaluesMaxwell operatorasymptotic behaviour of eigenfunctionsdecays exponentiallynon-isentropic case

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case ⋮ Low Frequency Asymptotics and Electro-Magneto-Statics for Time-Harmonic Maxwell's Equations in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions ⋮ The perturbed Laplace operator in a weighted \(L^ 2\)-space ⋮ A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the spectrum of the Schrödinger operator with a rapidly oscillating potential
• On the absence of positive eigenvalues for one-body Schrödinger operators
• Zur Theorie der Schwingungsgleichung mit variablen Koeffizienten in Außengebieten
• Lower bounds for solutions of Schrödinger equations
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• On the Absence of Positive Eigenvalues of Schrodinger Operators with Long Range Potentials
• On the Positive Spectrum of Schrodinger Operators with Long Range Potentials
• Die Rellichsche Abschätzung für die Schwingungsgleichung mit oszillierendem Hauptteil.
• Nonexistence of Nontrivial Solutions of Schrödinger Type Systems
• Pointwise Bounds on Eigenfunctions and Wave Packets in N-Body Quantum Systems. I
• On positive eigenvalues of one‐body schrödinger operators
• THE PRINCIPLE OF LIMIT AMPLITUDE
• ON THE SPECTRUM OF AN ELLIPTIC OPERATOR OF SECOND ORDER

This page was built for publication: On the spectra and eigenfunctions of the Schrödinger and Maxwell operators