Asymptotics of the ground state energy of heavy molecules and related topics. II

TL;DR

This paper analyzes the asymptotic behavior of the ground state energy of heavy atoms and molecules under strong magnetic fields, including quantum corrections, and explores related charge and ionization properties.

Contribution

It provides new asymptotic formulas for ground state energies with Schwinger and Dirac corrections in magnetic fields, and investigates charge and ionization phenomena.

Findings

Derived asymptotic formulas including quantum corrections.

Analyzed charge excess and ionization energy in molecular binding.

Extended understanding of heavy molecule behavior in magnetic fields.

Abstract

We consider asymptotics of the ground state energy of heavy atoms and molecules in the strong external magnetic field and derive it including Schwinger and Dirac corrections (if magnetic field is not too strong). We also consider related topics: an excessive negative charge, ionization energy and excessive positive charge when atoms can still bind into molecules.