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Preprint in the OpenAI Math release

Generalized ionization energies for full Coulomb atoms

OpenAI

Abstract

We prove the energy part of the generalized ionization conjecture for full nonrelativistic Coulomb atoms with two electron spin states. The energy needed to remove m electrons is asymptotic to whenever and , with the Thomas–Fermi constant in atomic units. We also obtain both conjectured iterated limits.

open until 1 Jan 2028

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