Relativistic quantum scattering on a cone
type: Item
instance of: scholarly article
title: Relativistic quantum scattering on a cone
zbMATH Open document ID: 0985.83011
DOI: 10.1088/0264-9381/18/8/311
author: J. Spinelly
author: E. R. Bezerra de Mello
author: V. B. Bezerra
published in: Classical and Quantum Gravity
publication date: 2002-05-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/gr-qc/0012103
Mathematics Subject Classification ID: 83C47
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 83E30
zbMATH DE Number: 1618261
zbMATH Keywords: quantum gravity
zbMATH Keywords: quantum mechanical scattering
zbMATH Keywords: straight cosmic string
MaRDI profile type: Publication
OpenAlex ID: W3104811963
arXiv ID: gr-qc/0012103
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review text: Studies in the field of scattering of particles of different kinds have been among the main methods of research by which one would be able to understand the real nature of matter and radiation better. Particularly in the micro-world the relativistic quantum mechanical scattering has attracted much attention for long.NEWLINENEWLINENEWLINEHere the authors have treated in detail the topological problems of relativistic quantum mechanical scattering on a cone of a bosonic spin-zero particle by an idealized, infinite, straight cosmic string. The non-minimal covariant coupling between the bosonic field and the scalar curvature is used. Next, the scattering of a charged particle, taking into account its repulsive, induced self-interaction, is considered. For the idealized cosmic string, an effective delta-function interaction takes place apart from the usual topological scattering itself. It is shown that in this case the dimensionless coupling parameter has to be suitably renormalized for making the problem consistent.NEWLINENEWLINENEWLINEStandard forms of the Klein-Gordon equation, line element and natural units are employed in the paper while emphasizing the topological features of the spacetime under consideration.
description: scientific article; zbMATH DE number 1618261