Half-whole Dimensions in Quaternionic Quantum Mechanics

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.

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

References in corpus (1)

• Odd Dimensional Translation between Complex and Quaternionic Mechanics

Cited by in corpus (2)

• Classical behaviour of the Dirac bispinor
• Quaternionic Electroweak Theory and CKM Matrix