On the three-body long-range scattering problems
type: Item
instance of: scholarly article
title: On the three-body long-range scattering problems
zbMATH Open document ID: 0776.35045
DOI: 10.1007/BF00398399
author: Xue Ping Wang
published in: Letters in Mathematical Physics
publication date: 1993-01-17T00:00:00Z
review text: The author gives precise microlocalized propagation estimates for three- body Schrödinger operators and establishes the asymptotic completeness for a class of long-range potentials weakly decaying. An iteration is used to construct an approximate solution for the eikonal equations in different regions of the momentum space. The approach is valid in the general \(n\)-body case.
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 81U10
Mathematics Subject Classification ID: 35A27
zbMATH DE Number: 97828
zbMATH Keywords: microlocalized propagation estimates
zbMATH Keywords: three-body Schrödinger operators
zbMATH Keywords: asymptotic completeness
zbMATH Keywords: long-range potentials
zbMATH Keywords: approximate solution for the eikonal equations
reviewed by: Marco Codegone
MaRDI profile type: Publication
cites work: Q3969238
cites work: A new proof of the propagation theorem for N-body quantum systems
cites work: Criteria for the Kato smoothness with respect to a dispersive N-body Schrödinger operator
cites work: Q3361248
cites work: Asymptotic completeness for N-body short-range quantum systems: A new proof
cites work: ASYMPTOTIC COMPLETENESS OF N-BODY WAVE OPERATORS I: SHORT-RANGE QUANTUM SYSTEMS
cites work: Spectral analysis of N-body Schrödinger operators
cites work: On long-range scattering
cites work: The N-particle scattering problem: asymptotic completeness for short- range systems
cites work: Asymptotic completeness for n–body schrödinger operators with short–range interactions
cites work: Semiclassical resolvent estimates for \(N\)-body Schrödinger operators
full work available at URL: https://doi.org/10.1007/bf00398399
OpenAlex ID: W1972651683
description: scientific article; zbMATH DE number 97828