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Abstract
Following previously described techniques, the atomic energy level displacements of order alpha (Z alpha )/sup 6/ ln/sup 2/ (Z alpha )mc/sup 2/ have been calculated and yield a result in agreement with that of Layzer. An addition is introduced which corresponds to a change of gauge of the virtual photon defining one-photon Lamb shift and serves to remove spurious lower order contributions from each term of the combined sequence M/sub n/ = I/sub n/ + J/sub n/. The first relativistic corrections to the lowest order Lamb shift STAof order alpha (Z alpha ) mc/sup 2/! and to hfs STAof order alpha (Z alpha )E/sub H/! may be obtained by use of these techniques. The necessary matrix elements for hfs calculations can be read from those of similar Lamb shift effects. (B.O.G.)
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