Two Dimensional Representation of the Dirac Equation in Non-Associative Algebra


In this note a simple extension of the complex algebra to higher dimension is proposed. Using the proposed 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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S. Hamieh and H. Abbas, "Two Dimensional Representation of the Dirac Equation in Non-Associative Algebra," Journal of Modern Physics, Vol. 3 No. 2, 2012, pp. 184-186. doi: 10.4236/jmp.2012.32025.

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The authors declare no conflicts of interest.


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