A Proof of asymptotic completeness for n-body schrodinödinger operators

DOI10.1080/03605309408821024zbMath0812.35118OpenAlexW2081234488MaRDI QIDQ4289824

Lech Zielinski

Publication date: 28 April 1994

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

Full work available at URL: https://doi.org/10.1080/03605309408821024

zbMATH Keywords

asymptotic completeness for \(N\)- body Schrödinger operatorsintegrability conditions of Enss' type

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) PDEs in connection with quantum mechanics (35Q40)

Related Items (9)

Asymptotic completeness for long-range many-particle systems with Stark effect. II ⋮ Asymptotic completeness for multiparticle dispersive charge transfer models ⋮ Dispersive charge transfer model with long-range quantum interactions ⋮ TIME-DEPENDENT SCATTERING THEORY OF N-BODY QUANTUM SYSTEMS ⋮ Unnamed Item ⋮ The quantum N-body problem ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic completeness for N-body short-range quantum systems: A new proof
• Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials
• A new proof of the Mourre estimate
• The N-particle scattering problem: asymptotic completeness for short- range systems
• A new proof of the propagation theorem for N-body quantum systems
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• A scattering theory for time-dependent long-range potentials
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Asymptotic completeness for quantum-mechanical potential scattering. II: singular and long-range potentials
• Asymptotic completeness of long-range \(N\)-body quantum systems
• ALGEBRAIC APPROACH TO THE N-BODY LONG RANGE SCATTERING
• Asymptotic completeness for n–body schrödinger operators with short–range interactions
• LOCALLY SMOOTH OPERATORS AND THE LIMITING ABSORPTION PRINCIPLE FOR N-BODY HAMILTONIANS

This page was built for publication: A Proof of asymptotic completeness for n-body schrodinödinger operators