Gyromagnetic factors of bound particles with arbitrary spin in quantum electrodynamics

A quasipotential method is formulated for calculating relativistic and radiative corrections to the magnetic moment of a two-particle bound state in the case of particles with arbitrary spin. It is shown that the g factors of bound particles contain O(alpha(2)) terms depending on the particle spin. Numerical values for the g factors of the electron in the hydrogen atom and deuterium are obtained.