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Algebras of Hamieh and Abbas Used in the Dirac Equation
Department of Mathematics, The University of Texas at San Antonio, San Antonio, USA
- 1 Department of Mathematics, The University of Texas at San Antonio, San Antonio, USA
Journal of Modern Physics·Volume 03 (2012)·Pages 923–926·Published 24 September 2012·DOI10.4236/jmp.2012.39120
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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.
KeywordsDirac EquationJordan AlgebraQuadratic Algebra
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