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This work presents a "Clean Quantum Theory of the Electron", based on Dirac s equation. "Clean" in the sense of a complete mathematical explanation of the well known paradoxes of Dirac s theory, and a connection to classical theory, including the motion of a magnetic moment (spin) in the given field, all for a charged particle (of spin ) moving in a given electromagnetic field. This theory is relativistically covariant, and it may be regarded as a mathematically consistent quantum-mechanical generalization of the classical motion of such a particle,