Bounds for the exact matrix elements for radiation processes in hydrogenic atoms. II

Abstract

In recent articles [H. E. Moses and R. T. Prosser, ‘‘Exact matrix elements for radiation processes in hydrogenic atoms,’’ J. Math. Phys. 33, 1878–1886 (1992); ‘‘Bounds for the Appell Function F2’’] the authors have obtained uniform bounds for the exact matrix elements for elementary radiation processes involving the ground state in both nonrelativistic and relativistic hydrogenic atoms. Here these results are extended to obtain uniform bounds for the exact matrix elements involving other stationary states of these atoms. These results will be used in a sequel to bound the exact interaction operator in a study of radiation processes involving the hydrogen atom.