Asymptotic completeness for 3-particle long-range systems

DOI10.1007/BF01232674zbMath0812.70006OpenAlexW2065740931MaRDI QIDQ1319222

Christian Gérard

Publication date: 14 May 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144152

zbMATH Keywords

Hamiltonianpotentialsbehavior at infinity

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (8)

Quantum scattering at low energies ⋮ 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 ⋮ Long-range scattering for three-body Stark Hamiltonians ⋮ Unnamed Item ⋮ Mourre theory for time-periodic systems ⋮ Zero energy asymptotics of the resolvent for a class of slowly decaying potentials ⋮ Asymptotic absolute continuity for perturbed time-dependent quadratic Hamiltonians

Cites Work

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• Asymptotic completeness for N-body short-range quantum systems: A new proof
• Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials
• The N-particle scattering problem: asymptotic completeness for short- range systems
• Absence of singular continuous spectrum for certain self-adjoint operators
• A scattering theory for time-dependent long-range potentials
• Space-time picture of semiclassical resonances
• On the three-body long-range scattering problems
• Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions
• ALGEBRAIC APPROACH TO THE N-BODY LONG RANGE SCATTERING

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