Resonances for a semi-classical Schrödinger operator near a non trapping energy level

DOI10.2977/prims/1195144421zbMath0947.34070OpenAlexW2037019768MaRDI QIDQ1974501

Michel Rouleux

Publication date: 2 November 2000

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195144421

zbMATH Keywords

resonancesembedded eigenvaluesbumpssemi-classical Schrödinger operatorshort range potentialWigner-Von Neumann potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (3)

Semiclassical Gevrey operators and magnetic translations ⋮ Quantum graph in a magnetic field and resonance states completeness ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularities and energy decay in acoustical scattering
• Scattering frequencies and Gevrey 3 singularities
• On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
• The shape resonance
• Semiclassical resonances generated by a closed trajectory of hyperbolic type
• Perturbation of resonances
• Multiple resonances in the semi-classical limit
• Zero-range potentials with internal structures and the inverse scattering problem
• Propagation des singularites Gevrey pourla diffraction
• Semiclassical theory of shape resonances in quantum mechanics
• Asymptotic behavior of Jost functions near resonance points for Wigner–von Neumann type potentials
• Complex Scaling and the Distribution of Scattering Poles

This page was built for publication: Resonances for a semi-classical Schrödinger operator near a non trapping energy level