Correspondence between atomic levels in LS and jj couplings

Abstract

This work aims at determining the correspondence between LS and jj couplings for some typical configurations without explicitly calculating level energies. To understand this article, an introductory course on quantum mechanics and an intermediate–level text on atomic physics are sufficient. Our method is based on a simple parallel analysis of Breit schemes and complex atom formation genealogy, by means of one-electron quantum numbers.