PDE and mathematical physics · Oct 6, 2026
Failure of Kohn–Sham ensemble representation
Constructs a three-electron Coulomb molecule with two equal positive-integer-charge nuclei whose absolute ground-state density has no noninteracting ground-state ensemble representation by a single real spin-independent local potential in . This disproves Kohn–Sham ensemble representability for that potential class; the required nuclear charge is specified nonnumerically.
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