Excess Charge for Pseudo-Relativistic Atoms in Hartree-Fock Theory

We prove within the Hartree-Fock theory of pseudo-relativistic atoms that the maximal negative ionization charge and the ionization energy of an atom remain bounded independently of the nuclear charge $Z$ and the fine structure constant $\alpha$ as long as $Z\alpha$ is bounded.

2010 Mathematics Subject Classification: 81V45, 35Q40, 81Q10

Keywords and Phrases: Atomic model, Ionization conjecture, Thomas-Fermi theory

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