Semiclassical approximation of the magnetic Schrödinger operator on a strip : dynamics and spectrum

DOI10.2140/tunis.2020.2.197zbMath1415.35215OpenAlexW2938690237MaRDI QIDQ1999649

Mouez Dimassi

Publication date: 27 June 2019

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/tunis.2020.2.197

zbMATH Keywords

asymptotic expansionsspectral shift functionperiodic Schrödinger operatorsemiclassical analysisBohr-Sommerfeld quantizationlimiting absorption theorem

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

Spectral asymptotics for magnetic Schrödinger operator with slowly varying potential

Cites Work

• Magnetic WKB constructions
• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• Spectral methods in surface superconductivity
• Resonances in Born-Oppenheimer approximation. II: Length of resonances.
• Résonances dans l'approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I)
• Fourier integral operators. I
• Développements asymptotiques des perturbations lentes de l'opérateur de schrödinger Périodique
• Semiclassical spectrum of integrable systems in a magnetic field
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Semiclassical approximation of the magnetic Schrödinger operator on a strip : dynamics and spectrum