Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 263-02. Generalized ionization energies for full Coulomb atoms
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OpenAI@2026-10-07#rem:oai-p-263-02
Authors: OpenAI. Family 263.
Title: Generalized ionization energies for full Coulomb atoms.
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 $a_{{}mathrm{TF}}m{}{7/3}$ whenever $m{}to{}infty$ and $Z/m{}to{}infty$, with the Thomas–Fermi constant in atomic units. We also obtain both conjectured iterated limits.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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