Scattering of particles by long-range magnetic fields
type: Item
instance of: scholarly article
title: Scattering of particles by long-range magnetic fields
zbMATH Open document ID: 0646.35074
DOI: 10.1016/0003-4916(87)90182-5
author: Michael Loss
author: Bernd Thaller
published in: Annals of Physics
publication date: 1987-01-01T00:00:00Z
review text: The scattering of nonrelativistic particles (either quantum mechanical or classical) by a magnetic field B is studied in any dimension \(\nu\geq 2\). \(B(x)\) is allowed to decay like \(| x|^{-3/2-\delta}\) \((\delta >0)\), as \(| x| \to \infty\). Assumptions are made about the field strengths and not about the potentials. A gauge is constructed for which the unmodified wave operators exist and are complete even though the corresponding classical motion need not be asymptotically free. The result also holds for Yang-Mills fields.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81U99
zbMATH DE Number: 4054202
zbMATH Keywords: scattering
zbMATH Keywords: nonrelativistic particles
zbMATH Keywords: decay
zbMATH Keywords: field strengths
zbMATH Keywords: gauge
zbMATH Keywords: Yang-Mills fields
MaRDI profile type: Publication
full work available at URL: 0003-4916(87)90182-5
OpenAlex ID: W2009986715
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description: scientific article; zbMATH DE number 4054202