Quaternionic Electron Theory: Dirac's Equation
Stefano De Leo, Waldyr A. Rodrigues,
Abstract
We perform a one-dimensional complexified quaternionic version of the Dirac equation based on i-complex geometry. The problem of the missing complex parameters in Quaternionic Quantum Mechanics with i-complex geometry is overcome by a nice ``trick'' which allows to avoid the Dirac algebra constraints in formulating our relativistic equation. A brief comparison with other quaternionic formulations is also presented.
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