Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 278-01. A Coulomb ground-state density without Kohn-Sham ensemble representation
Manuscript map · lines 8015–8024
OpenAI@2026-10-07#rem:oai-p-278-01
Authors: OpenAI. Family 278.
Title: A Coulomb ground-state density without Kohn-Sham ensemble representation.
Abstract: We construct a finite three-electron Coulomb molecule whose spin-summed ground-state density cannot be reproduced by any ground-state ensemble of noninteracting electrons in a single real, spin-independent local potential in $L{}{3/2}({}mathbf R{}3)+L{}{}infty({}mathbf R{}3)$. The molecule has two equal positive integer nuclear charges, specified by an exact finite nonnumerical formula.
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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