A quaternion representation of the Lorentz group for classical physical applications

I. Abonyi, J. F. Bito, J. K. Tar

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A special quaternion representation is constructed for a pair of relativistic vectors and skew-symmetric tensors on the basis of the group theory of Lorentz transformations. The construction has considerable advantages over the conventional vector-tensor description. It is pointed out that pairs of Minkowski vectors as well as certain scalars and skew-symmetric tensors can also be interpreted as simple components of more complex physical quantities, each of them expressed by a single quaternion. As an example a concise relativistic quaternion formulation of Maxwell's electrodynamics is presented. The relativistic covariance can be maintained even for the existence of magnetic monopoles.

Original languageEnglish
Article number013
Pages (from-to)3245-3254
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number14
DOIs
Publication statusPublished - Dec 1 1991

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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