scientific article; zbMATH DE number 714626

zbMath0827.35091MaRDI QIDQ4321649

Mouez Dimassi

Publication date: 30 January 1995

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1994__61_2_189_0

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zbMATH Keywords

asymptotic expansionessential spectrumperiodic Schrödinger operatorlarge-coupling constant limit

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (1)

Trace asymptotics formula for the Schrödinger operators with constant magnetic fields

Cites Work

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• On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• On a theorem of Deift and Hempel
• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Développements asymptotiques des perturbations lentes de l'opérateur de schrödinger Périodique
• Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• On the density of states of Schrodinger operators with a random potential
• On the asymptotic distribution of the eigenvalue branches of the Schrödinger operator HW in a spectral gap of H.

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