Artigo
The Dirac-Hestenes equation for spherical symmetric potentials in the spherical and Cartesian gauges
Fecha
2006-08-10Registro en:
International Journal of Modern Physics A, v. 21, n. 19-20, p. 4071-4082, 2006.
0217-751X
10.1142/S0217751X06033106
WOS:000240322800009
2-s2.0-33747457412
Autor
Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
Resumen
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.