Trajectory of a Dirac electron in the hydrogen

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The trajectory of an electron in the hydrogen obeying the Dirac equation is proposed, and illustrated in the three-dimensional space for a bound and scattering state. This trajectory processes around an axis through the origin of the potential and the precession period is exactly equal to that derived from the Sommerfeld relativistic theory. The cross section in the scattering state of an electron is presented, and compared to that derived from the wave theory, showing a slight difference in the backward region, in general.

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