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The Relativistic Expressions with Retardation of the Matrix Elements Used in the Hydrogenic Atomic Transitions: Application to the Photoeffect and the Lamb Shift

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Abstract

By using a geometrical form of the Darwin solutions of the Dirac equation, the general expressions with retardation of the matrix elements of the transitions S1/2-P1/2 and S1/2-P3/2 are established. The extension to the calculation with retardation of the sum rules relative to the intensities in the anomal Zeemann decomposition of the transitions between two levels is carried out.

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  1. Roger Boudet
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Boudet, R. The Relativistic Expressions with Retardation of the Matrix Elements Used in the Hydrogenic Atomic Transitions: Application to the Photoeffect and the Lamb Shift. Foundations of Physics 29, 29–47 (1999). https://doi.org/10.1023/A:1018861019202

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