The Dirac-Hestenes equation for spherical symmetric potentials in the spherical and Cartesian gauges
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World Scientific Publishing
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In this paper, using the apparatus of the Clifford bundle formalism, we show how straightforwardly solve in Minkowski space-time 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 Dirac-Hestenes equation in both gauges has exactly the same mathematical difficulty. © World Scientific Publishing Company.
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International Journal of Modern Physics A, v. 21, n. 19-20, p. 4071-4082, 2006.
