A quaternion representation of the Lorentz group for classical physical applications

I. Abonyi, J. F. Bito, J. 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 - 1991

Fingerprint

Lorentz Group
quaternions
Quaternion
Tensors
Tensor
tensors
Skew
Lorentz Transformation
Magnetic Monopoles
Group theory
Lorentz transformations
magnetic monopoles
group theory
Electrodynamics
Group Theory
electrodynamics
Scalar
scalars
formulations
Formulation

ASJC Scopus subject areas

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

Cite this

A quaternion representation of the Lorentz group for classical physical applications. / Abonyi, I.; Bito, J. F.; Tar, J.

In: Journal of Physics A: Mathematical and General, Vol. 24, No. 14, 013, 1991, p. 3245-3254.

Research output: Contribution to journalArticle

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