Quaternionic Lorentz group and Dirac equation
高能物理 - 理论
2007-05-23 v1
摘要
We formulate Lorentz group representations in which ordinary complex numbers are replaced by linear functions of real quaternions and introduce dotted and undotted quaternionic one-dimensional spinors. To extend to parity the space-time transformations, we combine these one-dimensional spinors into bi-dimensional column vectors. From the transformation properties of the two-component spinors, we derive a quaternionic chiral representation for the space-time algebra. Finally, we obtain a quaternionic bi-dimensional version of the Dirac equation.
引用
@article{arxiv.hep-th/0103129,
title = {Quaternionic Lorentz group and Dirac equation},
author = {Stefano De Leo},
journal= {arXiv preprint arXiv:hep-th/0103129},
year = {2007}
}
备注
9 pages, AMS-TeX