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Keywords:

  • density functional theory;
  • Hohenberg-Kohn theorem;
  • degeneracies;
  • constrained-search;
  • Kohn-Sham theory

Abstract

The constrained-search reformulation provides a transparent proof of the Hohenberg–Kohn theorem, while extending it to include degeneracies, solving the w-representability problem, and more. This proof, as first presented at the 1979 Sanibel meeting, is reviewed within the context of a brief historical perspective and my interactions at that meeting. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2010