Half-whole Dimensions in Quaternionic Quantum Mechanics

Details Half-whole Dimensions in Quaternionic Quantum Mechanics Half-whole Dimensions in Quaternionic Quantum Mechanics

Publishing date

1996-05-08

URL

arxiv.org/abs/hep-th/9605055v1

Journals

Prog.Theor.Phys. 95 (1996) 1029-1040

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Theory

Additional info

9 pages, Revtex, Prog. Theor. Phys. (to be published)

Type

Scientific paper

Digital Object Identifier

10.1143/PTP.95.1029

Abstract

We introduce {\em half-whole} dimensions for quaternionic matrices and
propose a quaternionic version of the Frobenius-Schur theorem which allows us
to obtain the proper quaternionic dimensionality for the representations of the
Dirac and Duffin-Kemmer-Petiau (DKP) algebras.

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