Extension of the sum rule for the transition rates between multiplets to the multiphoton case

摘要

The sum rule for the transition rates between the components of twomultiplets, known for the one-photon transitions, is extended to themultiphoton transitions in hydrogen and hydrogen-like ions. As an example thetransitions 3p-2p, 4p-3p and 4d-3d are considered. The numerical results arecompared with previous calculations.