Semiclassical resolvent estimates for two and three–body schrödinger operators

DOI10.1080/03605309908820718zbMath0711.35095OpenAlexW2075108641MaRDI QIDQ3496649

Christian Gérard

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03605309908820718

zbMATH Keywords

semiclassical three-body Schrödinger operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Propagation through trapped sets and semiclassical resolvent estimates ⋮ Space-time picture of semiclassical resonances ⋮ Semi‐classical resolvent estimates and regions free of resonances ⋮ Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces

Cites Work

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• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
• Semiclassical resonances generated by a closed trajectory of hyperbolic type
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators

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