Abstract
A closed-form expression is obtained for 〈r‖V‖〉, where is the nonrelativistic hydrogenic ground state, V is a sum of static multipole perturbations of the form , L≥l, G=Q(-Q is the projected static Green operator, and Q=1-‖〉〈‖ is the pro- jection operator. This method can be used iteratively to obtain the solution for &V &... &‖〉, where {,,...,} is a set of static multipole perturbations. This quantity is of great interest in the computation of sum rules, high-order wave-function corrections due to multipole perturbations, and the adiabatic and nonadiabatic potentials in the scattering of a charged particle by a hydrogenic ion and in the interaction between a Rydberg electron and the core ion in high Rydberg states of heliumlike ions.
- Received 10 July 1985
DOI:https://doi.org/10.1103/PhysRevA.33.717
©1986 American Physical Society