Generalized Lorentz transformations
type: Item
instance of: scholarly article
title: Generalized Lorentz transformations
zbMATH Open document ID: 0960.15024
DOI: 10.1007/BF03042382
author: Robert Scheiber
published in: Advances in Applied Clifford Algebras
publication date: 2001-05-01T00:00:00Z
review text: The author introduces a real matrix representation of the Dirac algebra built of \( 4\times 4\) block matrices each element of which belongs to \(\text{ SO}(4)\). The standard space-time metric used is \( \text{ diag}(-1,1,1,1)\). The main purpose is to offer a concrete matrix realization of relevant physical actions and to define generalized Lorentz transformations, that is, transformations of displaced systems, rotating systems, charged systems and others. Poincaré transformations then arise as approximations of the generalized Lorentz transformations. Physical interpretations of the representation in terms of space-time actions are given.
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 15A90
Mathematics Subject Classification ID: 83C60
Mathematics Subject Classification ID: 81R25
zbMATH DE Number: 1502073
zbMATH Keywords: Dirac algebra
zbMATH Keywords: Lorentz transformations
zbMATH Keywords: displaced systems
zbMATH Keywords: rotating systems
zbMATH Keywords: charged systems
zbMATH Keywords: Poincaré transformations
zbMATH Keywords: space-time actions
reviewed by: Joseph Lakey
MaRDI profile type: Publication
cites work: Q5508799
cites work: Q4884571
cites work: Q5574699
full work available at URL: https://doi.org/10.1007/bf03042382
OpenAlex ID: W1967338840
description: scientific article; zbMATH DE number 1502073