Quaternionic Electron Theory: Geometry, Algebra and Dirac's Spinors
Stefano De Leo, Waldyr A. Rodrigues
Abstract
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Stefano De Leo, Waldyr A. Rodrigues
Abstract
Open-access reader
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.
Key concepts: Spinor, Geometric algebra, Quaternion, Dirac algebra, Dirac equation, Gamma matrices, Clifford algebra, Dirac (video compression format)