Half-whole Dimensions in Quaternionic Quantum Mechanics
High Energy Physics - Theory
2009-10-30 v1
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.
Cite
@article{arxiv.hep-th/9605055,
title = {Half-whole Dimensions in Quaternionic Quantum Mechanics},
author = {Stefano De Leo},
journal= {arXiv preprint arXiv:hep-th/9605055},
year = {2009}
}
Comments
9 pages, Revtex, Prog. Theor. Phys. (to be published)