Asymptotics of the ground state energy for atoms and molecules in the self-generated magnetic field

TL;DR

This paper derives the asymptotic behavior of the ground state energy for heavy atoms and molecules in self-generated magnetic fields, providing precise estimates for nuclear positions with a specific remainder bound.

Contribution

It introduces new asymptotic formulas for the ground state energy in self-generated magnetic fields, improving the remainder estimates for nuclear positions.

Findings

Asymptotic formulas for ground state energy derived

Remainder estimate of O(N^{16/9}) for nuclear positions

Enhanced understanding of magnetic effects in quantum systems

Abstract

Asymptotics of the ground state energy of the heavy atoms and molecules in the self-generated magnetic field has been derived and for minimal energy positions of nuclei remainder estimate $O(N^{16/9})$ has been recovered.