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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

has been cited by the following article:

• TITLE: Algebras of Hamieh and Abbas Used in the Dirac Equation

  AUTHORS: Gregory Peter Wene

  KEYWORDS: Dirac Equation; Jordan Algebra; Quadratic Algebra

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.9, September 24, 2012

  ABSTRACT: Hamieh and Abbas [1] propose using a 3-dimensional real algebra in a solution of the Dirac equation. We show that this algebra, denoted by , belongs to a large class of quadratic Jordan algebras with subalgebras isomorphic to the complex numbers and that the spinor matrices associated with the solution of the Dirac equation generate a six-dimensional real noncommutative Jordan algebra.