2012/06/21 by Hantsch, Fabian
#49S05 #81V45 #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1206.4932
In this note we establish the existence of ground states for atoms within several restricted Hartree-Fock theories. It is shown, for example, that there exists a ground state for closed shell atoms with N electrons and nuclear charge Z ≥ N-1. This has to be compared with the general Hartree-Fock theory where the existence of a minimizer is known for Z>N-1 only.