Relativistic scattering theory for long-range potentials of nonelectrostatic type
type: Item
instance of: scholarly article
title: Relativistic scattering theory for long-range potentials of nonelectrostatic type
zbMATH Open document ID: 0643.35078
DOI: 10.1007/BF00400299
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: We define a modified free-time evolution for the Dirac equation with long-range potentials \(\beta\) (1/\(| x|)\), where \(\beta\) is the Dirac matrix, and prove a strong asymptotic completeness of the corresponding wave operators. Our methods also work for the magnetic fields \(\alpha\cdot A(x)\).
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 4048246
zbMATH Keywords: free-time evolution
zbMATH Keywords: Dirac equation
zbMATH Keywords: long-range potentials
zbMATH Keywords: asymptotic completeness
zbMATH Keywords: wave operators
zbMATH Keywords: magnetic fields
author: Bernd Thaller
MaRDI profile type: Publication
cites work: Q5576969
cites work: Q3963836
cites work: Asymptotic observables on scattering states
cites work: Q4722686
cites work: The existence of wave operators in scattering theory
cites work: Scattering theory by Enss' method for operator valued matrices: Dirac operator in an electric field
cites work: Q4191141
cites work: The nonrelativistic limit of modified wave operators for Dirac operators
description: scientific article; zbMATH DE number 4048246