Simple atoms, quantum electrodynamics, and fundamental constants

This review is devoted to precision physics of simple atoms. The atoms can essentially be described in the framework of quantum electrodynamics (QED), however, the energy levels are also affected by the effects of the strong interaction due to the nuclear structure. We pay special attention to QED tests based on studies of simple atoms and consider the influence of nuclear structure on energy levels. Each calculation requires some values of relevant fundamental constants. We discuss the accurate determination of the constants such as the Rydberg constant, the fine structure constant and masses of electron, proton and muon etc.