TITLE:
Two Dimensional Representation of the Dirac Equation in Non-Associative Algebra
AUTHORS:
Salah Hamieh, Hassan Abbas
KEYWORDS:
Dirac Equation; Non-Associative Algebra
JOURNAL NAME:
Journal of Modern Physics,
Vol.3 No.2,
February
29,
2012
ABSTRACT: 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.