Published Research - Department of Chemistry


Date of this Version

November 1990


Published in Physical Review A 42:9 (November 1990), pp. 5767 - 5768. Copyright © 1990 The American Physical Society. Used by permission. DOI: 10.1103/PhysRevA.42.5767 URL:


By introducing the concept of supersymmetry to quantum mechanics, several authors have shown that exactly soluble potentials, including all those well known, are easily constructed. Is the kinetic-energy density functional corresponding to these potentials a simple form? We show that the answer is no, even to the simplest one, the harmonic potential, if one builds the kinetic-energy density functional from the reduced density matrix.

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