Complex Geometry and Dirac Equation |
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Authors: | Stefano De Leo Waldyr A Rodrigues Jayme Vaz |
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Abstract: | Complex geometry represents a fundamentalingredient in the formulation of the Dirac equation bythe Clifford algebra. The choice of appropriate complexgeometries is strictly related to the geometricinterpretation of the complex imaginary unit
. We discuss two possibilities which appearin the multivector algebra approach: the 123 and 21 complexgeometries. Our formalism provides a set of rules which allows an immediate translation between thecomplex standard Dirac theory and its version withingeometric algebra. The problem concerning a doublegeometric interpretation for the complex imaginary unit
is also discussed. |
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