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Two Dimensional Representation of the Dirac Equation in Non-Associative Algebra
Department of Physics and Mathematics, Faculty of Sciences, Lebanese University, Beirut, Lebanon
Department of Physics and Mathematics, Faculty of Sciences, Lebanese University, Beirut, Lebanon
- 1 Department of Physics and Mathematics, Faculty of Sciences, Lebanese University, Beirut, Lebanon
- 2 Department of Physics and Mathematics, Faculty of Sciences, Lebanese University, Beirut, Lebanon
Journal of Modern Physics·Volume 03 (2012)·Pages 184–186·Published 29 February 2012·DOI10.4236/jmp.2012.32025
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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.
KeywordsDirac EquationNon-Associative Algebra
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