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math-ph2004
Contemplations on Dirac's equation in quaternionic coordinates
Dirk Schuricht, Martin Greiter
A formulation of Dirac's equation using complex-quaternionic coordinates appears to yield an enormous gain in formal elegance, as there is no longer any need to invoke Dirac matric…
math-ph2003
Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics
Martin Greiter, Dirk Schuricht
A suitable parameterization of space-time in terms of one complex and three quaternionic imaginary units allows Lorentz transformations to be implemented as multiplication by compl…