1998arXiv (Cornell University)Open access

Quaternionic Electron Theory: Geometry, Algebra and Dirac's Spinors

Stefano De Leo, Waldyr A. Rodrigues

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Abstract

The use of complexified quaternions and $i$-complex geometry in formulating the Dirac equation allows us to give interesting geometric interpretations hidden in the conventional matrix-based approach.

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The use of complexified quaternions and $i$-complex geometry in formulating the Dirac equation allows us to give interesting geometric interpretations hidden in the conventional matrix-based approach.

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Available abstract

The use of complexified quaternions and $i$-complex geometry in formulating the Dirac equation allows us to give interesting geometric interpretations hidden in the conventional matrix-based approach.

Key concepts: Spinor, Geometric algebra, Quaternion, Dirac algebra, Dirac equation, Gamma matrices, Clifford algebra, Dirac (video compression format)

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