Développements asymptotiques des perturbations lentes de l'opérateur de schrödinger Périodique

DOI10.1080/03605309308820950zbMath0784.35071OpenAlexW2046488484MaRDI QIDQ3141714

Mouez Dimassi

Publication date: 1 November 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820950

zbMATH Keywords

asymptotic expansionstrace formulaperiodic potentialslow perturbations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials ⋮ Semiclassical approximation of the magnetic Schrödinger operator on a strip : dynamics and spectrum ⋮ Microlocal analysis of the bulk-edge correspondence ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A local trace formula for resonances of perturbed periodic Schrödinger operators.

Cites Work

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• Existence of the exponentially localized Wannier functions
• Stability of energy gaps under variations of the magnetic field
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Semiclassical approximation for equations with periodic coefficients
• Stability of gaps for periodic potentials under variation of a magnetic field

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