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

by A. Dall'Acqua, J.P. Solovej.

Series: 2010-06, Preprints

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, ~Klein-Gordon and other equations of quantum mechanics
81Q20 Semiclassical techniques, including WKB and Maslov methods

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 as long as Z is bounded.