Das asymptotische Verhalten der Grundzustandsenergie des Muellerfunktionals fuer schwere Atome

TL;DR

This paper demonstrates that the ground state energy of the Mueller functional for large neutral atoms closely matches the quantum mechanical ground state energy up to a specific order, providing a rigorous asymptotic analysis.

Contribution

It establishes the asymptotic equivalence of the Mueller functional and quantum energies for large atoms up to order o(Z^{5/3}), advancing theoretical understanding.

Findings

Mueller functional energy matches quantum energy up to order o(Z^{5/3})

Asymptotic behavior of ground state energies analyzed

Provides rigorous mathematical proof of energy agreement

Abstract

The ground state energy of the Mueller functional of large (neutral) atoms of atomic number Z agrees with the quantum mechanical ground state energy up to order o(Z to the 5/3). ----- Die Grundzustandsenergie des Muellerfunktionals von grossen (neutralen) Atomen der Ordnungszahl Z stimmt mit der quantenmechanischen Grundzustandsenergie bis zur Ordnung o(Z hoch 5/3) ueberein.