Two dimensional representation of the Dirac equation in Non associative algebra
arXiv:1104.3416 · doi:10.4236/jmp.2012.32025
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.