Two dimensional representation of the Dirac equation in Non associative algebra

Details Two dimensional representation of the Dirac equation in Non associative algebra Two dimensional representation of the Dirac equation in Non associative algebra

2011-04-18

arxiv.org/abs/1104.3416v1

Physics

Mathematical Physics

Scientific paper

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.

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