Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe

DOI10.24033/bsmf.2214zbMath0790.34051OpenAlexW618711814MaRDI QIDQ4282759

Thierry Ramond

Publication date: 10 April 1994

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1993__121_3_403_0

zbMATH Keywords

asymptotic expansionspectrumgapscomplex WKB methodHill equationinstability intervalsmeromorphic potential1-dimensional periodic Schrödinger operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Ordinary differential equations in the complex domain (34M99)

Related Items

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Cites Work

• Precise estimates for tunneling and eigenvalues near a potential barrier
• The asymptotics of the gap in the Mathieu equation
• Asymptotic estimates for the Sturm-Liouville spectrum
• Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill
• Estimations de l'effet tunnel pour le double puits. II : états hautement excités
• The inverse problem for periodic potentials
• Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
• The B. W. K. approximation and Hill’s equation. II
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