Symplectic interpretation for the discretization of some physical magnitudes
type: Item
instance of: scholarly article
title: Symplectic interpretation for the discretization of some physical magnitudes
zbMATH Open document ID: 0960.53047
DOI: 10.1023/A:1026634602599
author: J. Olivert
author: V. Liern
published in: International Journal of Theoretical Physics
publication date: 1999-11-18T00:00:00Z
review text: Using ideas of \textit{J. M. Souriau} [Structure des systèmes dynamiques, Dunod (1970; Zbl 0186.58001)], the authors associate massless elementary free particles with certain symplectic fiber bundles over the spacetime manifold. In particular, they study conditions such that the pull-back of such a bundle to a hypersurface of simultaneity has discrete holonomy group. In analogy to the Aharonov-Bohm effect, they interpret this situation as saying that ``some physical magnitudes take discrete values''.
reviewed by: Volker Perlick
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 81S10
zbMATH DE Number: 1364323
zbMATH Keywords: hypersurface of simultaneity
zbMATH Keywords: discrete holonomy group
zbMATH Keywords: Aharonov-Bohm effect
MaRDI profile type: Publication
full work available at URL: a:1026634602599
OpenAlex ID: W1748250
description: scientific article; zbMATH DE number 1364323