## Excess charge for pseudo-relativistic atoms in Hartree-Fock theory

### Summary

Summary: 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.

### Mathematics Subject Classification

81V45, 35Q40, 81Q10

### Keywords/Phrases

atomic model, ionization conjecture, Thomas-Fermi theory