Existence of Minimizers in Restricted Hartree-Fock Theory

Abstract

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 $Z\ge N-1$. This has to be compared with the general Hartree-Fock theory where the existence of a minimizer is known for $Z>N-1$ only.

17 pages

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