Dall'acqua, Anna; Solovej, Jan Philip

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

Doc. Math., J. DMV 15, 285-345 (2010)

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

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