On SL(3,C)-covariant spinor equation and generalized Duffin-Kemmer algebra
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The SL(3,C)-covariant 9-dimensional equation for a free 3-spinor particle is transformed into the Dirac-like form (p_A\delta^A - M)\Psi=0. However, the corresponding \delta matrices do not satisfy the Dirac algebra. It is shown that \delta^A lead to a Finslerian generalization of the Duffin-Kemmer algebra. The Appendix contains an explicit realization of the \delta matrices.
Keywords
Cite
@article{arxiv.math-ph/9901007,
title = {On SL(3,C)-covariant spinor equation and generalized Duffin-Kemmer algebra},
author = {A. V. Solov'yov},
journal= {arXiv preprint arXiv:math-ph/9901007},
year = {2007}
}
Comments
8 pages, LaTeX, no figures