Abstract
In this Letter the standard Bosonization in four spacetime dimensions is used to introduce the ‘polar coordinate frame’ for a classical (commuting) Dirac spinor in a manifest covariant way. It appears that this is not a unique procedure since there is a variety of simple Abelian group structures that can interpolate between a Majorana and a Dirac spinor. One particular polar representation is applied to the Dirac equation and it turns out to provide an exact explicit solution under simple and quite unrestrictive conditions.
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