A finite three-electron molecule with two equal positive integer nuclear charges has a normalizable interacting Coulomb ground state whose spin-summed density is not the density of any noninteracting ground-state ensemble for a single real spin-independent local potential in L^(3/2)(R³)+L∞(R³).
A finite three-electron molecule with two equal positive integer nuclear charges has a normalizable interacting Coulomb ground state whose spin-summed density is not the density of any noninteracting ground-state ensemble for a single real spin-independent local potential in L^(3/2)(R³)+L∞(R³).
A finite three-electron molecule with two equal positive integer nuclear charges has a normalizable interacting Coulomb ground state whose spin-summed density is not the density of any noninteracting ground-state ensemble for a single real spin-independent local potential in L^(3/2)(R³)+L∞(R³).
If correct, supplies a finite physical Coulomb example where the standard local-potential Kohn–Sham ensemble representation fails.
Can a finite Coulomb ground-state density lack a noninteracting local-potential ensemble representation?
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OpenAI reports a Coulomb density without Kohn–Sham ensemble representation
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