Do atomic electrons fall to the center of multi-electron atoms?

Abstract

This communication is involved in providing, via a modern approach, a direct derivation that, with 100% probability, none of the atomic electrons falls to the center of multi-electron atoms — a problem which has been around historically in the quantum mechanics of atoms since the birth of the former and has, undoubtedly, come across every learner of the subject since then. No need arises for explicit eigenfunctions.