Electron. J. Diff. Equ., Vol. 2014 (2014), No. 44, pp. 1-16.

Existence of minimizers in restricted Hartree-Fock theory

Fabian Hantsch

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

Submitted August 19, 2013. Published February 10, 2014.
Math Subject Classifications: 81V45, 49S05
Key Words: Restricted Hartree-Fock functional; ground states; variational methods.

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Fabian Hantsch
Universität Stuttgart
Fachbereich Mathematik
70550 Stuttgart, Germany
email: Fabian.Hantsch@mathematik.uni-stuttgart.de

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