Semi-classical behavior of the scattering amplitude for trapping perturbations

DOI10.1016/S1631-073X(02)02327-0zbMath1154.35414OpenAlexW2046748047MaRDI QIDQ1600208

Laurent Michel

Publication date: 12 June 2002

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

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02327-0

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Resonance in context of PDEs (35B34) Scattering theory of linear operators (47A40)

Cites Work

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• Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
• From quasimodes to resonances
• Semiclassical resolvent estimates for trapping perturbations

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