A coordinateless form of the Dirac equation

Details A coordinateless form of the Dirac equation A coordinateless form of the Dirac equation

2003-07-21

arxiv.org/abs/math-ph/0307042v1

Physics

Mathematical Physics

Scientific paper

We present a so called Dirac-type tensor equation (DTTE). This equation is written in coordinateless form with the aid of differential operators $d$ and $\delta$. A wave function of DTTE belongs to a minimal left ideal of the algebra of exterior forms with respect to the Clifford product. We show that a coordinate form of DTTE is identical to the Dirac equation in a fixed coordinate system.

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