Quantum number dimensional scaling analysis for excited states of multielectron atoms

A new dimensional scaling method for the calculation of excited states of multielectron atoms is introduced. By including the principle and orbital quantum numbers in the dimension parameter, we obtain an energy expression for excited states including high angular momentum states. The method is tested on He, Li, and Be. We obtain good agreement with more orthodox quantum mechanical treatments even in the zeroth order.Comment: Submitted to Physical Review A, 13 pages, 6 Table