10-06
Excess charge for pseudo-relativistic atoms in Hartree-Fock theory
Preprint series: 10-06, Preprints
- MSC:
- 81Q05 Closed and approximate solutions to the Schrodinger, Dirac, Klein-Gordon and other quantum-mechanical equations
- 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.
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