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General expressions for quantum electrodynamic corrections to the one-loopself-energy [of order alpha(Zalpha)^6] and for the two-loop Lamb shift [oforder alpha^2(Z\alpha)^] are derived. The latter includes all diagrams withclosed fermion loops. The general results are valid for arbitrary excited non-Shydrogenic states and for the normalized Lamb shift difference of S states,defined as Delta_n = n^3 DeltaE(nS) - DeltaE(1S). We present numerical resultsfor one-loop and two-loop corrections for excited S, P and D states. Inparticular, the normalized Lamb shift difference of S states is calculated withan uncertainty of order 0.1 kHz.Comment: 4 pages, RevTe

Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States