Titlebook: Relativistic Transitions in the Hydrogenic Atoms; Elementary Theory R. Boudet Book 2009 Springer-Verlag Berlin Heidelberg 2009 Dirac equati

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Introductiond as owning one electron as the hydrogen atom. It is the case for an atom whose all the electrons, except one, are not considered, either because they have been thrown out or because their action is neglected..Corrective terms taking into account this action, or the size of the nu cleus, may be used

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The Dirac Equation of the Electron in the Real Formalismr formalism to the real form given by Hestenes to this equation. It is completed by the first paragraph of the Appendix of Part I, which allows a step-by-step traduction of the complex formalism to the real one and vice versa.

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Matrix Elements for the Relativistic Transitions with Retardation 1S1/2-Continuumplace method. The incidence of the diverse approximations with regard to the exact solution are drawn out numerically. A conclusion is the necessity of the use of retardation and considerable divergence between relativistic and nonrelativistic approachs for the high values of energy in the continuum

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The Electromagnetic Fields Created by Time-Sinusoidal Currentpecificity of the real formalism, the form given by Hestenes to the wave function of the electron, strictly equivalent to the Dirac spinor, may be presented, in the case of central potential, as a combination of the vectors of this frame.