Excess charge for pseudo-relativistic atoms in Hartree-Fock theory
Documenta mathematica, Tome 15 (2010), pp. 285-345
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 α as long as Zα is bounded.
Classification :
35Q40, 81Q10, 81V45
Mots-clés : atomic model, ionization conjecture, Thomas-Fermi theory
Mots-clés : atomic model, ionization conjecture, Thomas-Fermi theory
@article{10_4171_dm_299,
author = {Anna Dall'Acqua and Jan Philip Solovej},
title = {Excess charge for pseudo-relativistic atoms in {Hartree-Fock} theory},
journal = {Documenta mathematica},
pages = {285--345},
year = {2010},
volume = {15},
doi = {10.4171/dm/299},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/299/}
}
Anna Dall'Acqua; Jan Philip Solovej. Excess charge for pseudo-relativistic atoms in Hartree-Fock theory. Documenta mathematica, Tome 15 (2010), pp. 285-345. doi: 10.4171/dm/299
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