Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Pure mathematics
Abstract
In the presence of an external magnetic field, we prove absence of a ground state within the Hartree-Fock theory of atoms and molecules. The result is established for a wide class of magnetic fields when the number of electrons is greater than or equal to 2Z + K, where Z is the total charge of K nuclei. Positivity properties are instrumental in the proof of this bound for the maximal ionization
DOI
https://doi.org/10.21427/pbpd-j102
Recommended Citation
Melgaard, M. & Enstedt, M. (2008). Non-existence of a minimizer to the Hartree-Fock functional. Positivity, vol. 12, pg. 653-666. doi:10.21427/pbpd-j102