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