Complete Lamb-shift calculation to order α5 by applying the methods of non-relativistic quantum electrodynamics

Summary It is shown, for the first time to our knowledge, that the Lamb shift for the states of hydrogenic atoms can be almost completely calculated by applying the methods of non-relativistic quantum electrodynamics and without using the Dirac equation and the second quantization for the electron. By taking into account the spin-orbit interaction, the complete Lamb shift to order α⁵ is calculated for different hydrogenic states. The author of this paper has agreed to not receive the proofs for correction.