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.