v-representability for noninteracting systems
- 1 January 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 47 (1) , 153-160
- https://doi.org/10.1103/physreva.47.153
Abstract
A particle-density distribution is said to be v-representable if it is the ground-state density for some potential v(r). By developing the idea of proper order, proposed earlier [J. Chen and M. J. Stott, Phys. Rev. A 44, 2816 (1991)], to any number of energy levels which are involved in possible ground-state configurations, we show that any reasonable density with an arbitrary number of spinless fermions is either pure-state or ensemble v-representable. This result supports the general applicability of the Kohn-Sham method [Phys. Rev. 140, A1133 (1965)] in density-functional theory.Keywords
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