DIMENSIONAL SCALING OF LOCAL PSEUDOPOTENTIALS

The integral equations of Gelfand and Levitan were previously used by Abraham and Moses (Phys. Rev. A, 22 (1980) 1333) to construct a modifi ed local potential V-pert(r), which in this work is added to a coulomb ic potential in order to remove the lowest s state from the spectrum. The total modified potential V-new(r), for excited states is used in c onjunction with the shifted 1/D expansions of dimensional scaling. It is verified that it is feasible to find the lowest energies and the me an radius for V-new, treating it now as a ground state problem. This i ndicates that a potential for excited states can be generated by the p rocedure, with the possibility of using it in the study of excited sta tes and valence states. The potentials applied can be considered as lo cal pseudopotentials.