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 . This has to be compared with the general Hartree-Fock theory where the existence of a minimizer is known for 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 |
70550 Stuttgart, Germany
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