### 2010-06

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

**Series:** 2010-06, Preprints

- MSC:
- 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

**Abstract:**

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.

**Keywords:**