Two dimensional representation of the Dirac equation in Non associative algebra
Mathematical Physics
2015-05-27 v1 math.MP
Abstract
In this note a simple extension of the complex algebra to higher dimension is proposed. Using the postulated algebra a two dimensional Dirac equation is formulated and its solution is calculated. It is found that there is a sub-algebra where the associative nature can be recovered.
Keywords
Cite
@article{arxiv.1104.3416,
title = {Two dimensional representation of the Dirac equation in Non associative algebra},
author = {S. Hamieh and H. Abbas},
journal= {arXiv preprint arXiv:1104.3416},
year = {2015}
}