Semiclassical resonances generated by crossings of classical trajectories

DOI10.5802/crmath.209zbMath1472.35255OpenAlexW3193355526MaRDI QIDQ1979870

Kenta Higuchi

Publication date: 3 September 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.209

zbMATH Keywords

\(2\times 2\) system of one-dimensional semiclassical Schrödinger operatorssmall semiclassical parameter \(h\)

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• On the location of the resonances for schrodinger
• Résonances en limite semi-classique
• Resonances for homoclinic trapped sets
• Resonance free domain for a system of Schrödinger operators with energy-level crossings
• Mathematical Theory of Scattering Resonances
• An introduction to semiclassical and microlocal analysis

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