Geometric superalgebra and the Dirac equation Article

•  
• Overview
•  
• Identity
•  
• Additional Document Info
•  
• View All
•  

Overview

abstract

• A unified mathematical approach to spinors and multivectors or superalgebra is constructed in a form useful to study the mathematical description of matter and its interaction fields. The formalism then encompasses both points of view: multivectors for the description of (spacetime) geometry and the description of the integer spin, interaction fields, and spinor representations suitable for the description of half odd integer, matter fields. An application is made to study the change of the Dirac equation under the spinors to multivectors (to scalars) mapping. The physical and geometric content of the multivector solutions of the Dirac-Hestenes equation is clearly shown. © 1991 American Institute of Physics.

authors

• Keller J.
• Rodríguez Domínguez Adán Rubén

publication date

• 1992-01-01

published in

• Journal of Mathematical Physics  Journal

Identity

Digital Object Identifier (DOI)

• 10.1063/1.529955

Additional Document Info

start page

• 161

end page

• 170

volume

• 33

issue

• 1