  In this paper using the apparatus of the Clifford bundle formalism we show
how straightforwardly solve in Minkowski spacetime the Dirac-Hestenes equation
-- which is an appropriate representative in the Clifford bundle of
differential forms of the usual Dirac equation -- by separation of variables
for the case of a potential having spherical symmetry in the Cartesian and
spherical gauges. We show that contrary to what is expected at a first sight,
the solution of the DHE in both gauges has exactly the same mathematical
difficulty.
