Friday, June 22, 2012

1206.4932 (Fabian Hantsch)

Existence of Minimizers in Restricted Hartree-Fock Theory    [PDF]

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.
View original: http://arxiv.org/abs/1206.4932

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