Minimal Algebras for Relativistic Wave Equations

Browne, Seán and Šijački, Djordje (1975) Minimal Algebras for Relativistic Wave Equations. (Preprint)

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Abstract

The idea that matrices occuring in both first and second order relativistic wave equations generate (under commutation) some finite Lie algebra, which contains the Lorentz algebra, is considered. For first and second order wave equations the minimal non trivial Lie algebras are so(3,2) and sl(4,R) respectively. The unique mass condition and the so(3,2) algebra rule out all but the Dirac and Duffin-Kemmer equations, while the sl(4,R) algebra is associated to the Klein-Gordon, Proca and Joos-Weinberg (spin 1) equations.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	11 Jul 2018 10:54
Last Modified:	18 Dec 2022 05:00
URI:	https://dair.dias.ie/id/eprint/972

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