On the three-body long-range scattering problems

DOI10.1007/BF00398399zbMath0776.35045OpenAlexW1972651683MaRDI QIDQ1201371

Xue Ping Wang

Publication date: 17 January 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00398399

zbMATH Keywords

asymptotic completenesslong-range potentialsapproximate solution for the eikonal equationsmicrolocalized propagation estimatesthree-body Schrödinger operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (n)-body potential quantum scattering theory (81U10) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (6)

Asymptotic completeness for long-range many-particle systems with Stark effect. II ⋮ New channels of scattering for three-body quantum systems with long-range potentials ⋮ Unnamed Item ⋮ Long-range scattering for three-body Stark Hamiltonians ⋮ Total cross sections in \(N\)-body problems: Finiteness and high energy asymptotics ⋮ Asymptotic completeness for 3-particle long-range systems

Cites Work

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• Asymptotic completeness for N-body short-range quantum systems: A new proof
• The N-particle scattering problem: asymptotic completeness for short- range systems
• A new proof of the propagation theorem for N-body quantum systems
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• Semiclassical resolvent estimates for \(N\)-body Schrödinger operators
• On long-range scattering
• Criteria for the Kato smoothness with respect to a dispersive N-body Schrödinger operator
• ASYMPTOTIC COMPLETENESS OF N-BODY WAVE OPERATORS I: SHORT-RANGE QUANTUM SYSTEMS
• Asymptotic completeness for n–body schrödinger operators with short–range interactions

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