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The ionization conjecture in Hartree-Fock theory. (English) Zbl 1106.81081

Summary: We prove the ionization conjecture within the Hartree-Fock theory of atoms. More precisely, we prove that, if the nuclear charge is allowed to tend to infinity, the maximal negative ionization charge and the ionization energy of atoms nevertheless remain bounded. Moreover, we show that in Hartree-Fock theory the radius of an atom (properly defined) is bounded independently of its nuclear charge.

MSC:

81V45 Atomic physics
35Q40 PDEs in connection with quantum mechanics
47G20 Integro-differential operators
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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