The main goal of the present work is a unitary approach of the physical origin\nof the corrections to the magnetic moment of free and bound electron. Based\non this approach, estimations of lowest order corrections were easily obtained.\nIn the non-relativistic limit, the Dirac electron appears as a distribution\nof charge and current extended over a region of linear dimension of the\norder of Compton wavelength, which generates its magnetic moment. The\ne.m. mass (self-energy) of electron outside this region does not participate to\nthis internal dynamics, and consequently does not contribute to the mass\nterm in the formula of the magnetic moment.
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