The Dirac-Hestenes Equation for Spherical Symmetric Potentials in the Spherical and Cartesian Gauges

Abstract

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.

13 pages, accepted for publication in Int.J.Mod.Phys.A

References in corpus (3)

• Algebraic and Dirac-Hestenes Spinors and Spinor Fields
• The Bundles of Algebraic and Dirac-Hestenes Spinor Fields
• Hidden Consequence of Active Local Lorentz Invariance

Cited by in corpus (3)

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• A Clifford Bundle Approach to the Wave Equation of a Spin 1/2 Fermion in the de Sitter Manifold