Existence of a solution to Hartree-Fock equations with decreasing magnetic field

Authors

Mattias Enstedt, Uppsala UniversityFollow
Michael Melgaard, Dublin Institute of TechnologyFollow

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Pure mathematics

Publication Details

Nonlinear Analysis: Theory, Methods and Applications 69 (2008), 2125-2141

Abstract

In the presence of an external magnetic field, we prove existence of a ground state within the Hartree–Fock theory of atoms and molecules. The ground state exists provided the magnetic field decreases at infinity and the total charge of nuclei exceeds , where is the number of electrons. In the opposite direction, no ground state exists if .

DOI

https://doi.org/10.21427/9v90-zk29

Recommended Citation

Enstedt, M., & Melgaard, M. (2008). Existence of a solution to Hartree-Fock equations with decreasing magnetic field. Nonlinear Analysis: Theory, Methods and Applications, vol. 69, pg. 2125-2141. doi:10.21427/9v90-zk29