Spectral theory for periodic Schrödinger operators with reflection symmetries

DOI10.1007/S00220-003-0953-YzbMath1050.35056OpenAlexW1963738045MaRDI QIDQ1423651

Bernard Helffer, Thomas Hoffmann-Ostenhof

Publication date: 7 March 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0953-y

zbMATH Keywords

multiplicitylowest eigenvaluesFloquet operators

Mathematics Subject Classification ID

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

Related Items (2)

Solution set splitting at low energy levels in Schrödinger equations with periodic and symmetric potential ⋮ An overview of periodic elliptic operators

Cites Work

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• Comparison theorems for the gap of Schrödinger operators
• Spectral theory for the dihedral group
• Bounds on the multiplicity of eigenvalues for fixed membranes
• Local behavior of solutions of general linear elliptic equations

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