Phys. Rev. Lett. 91, 133001 (2003) [4 pages]Derivation of the Density Functional Theory from the Cluster ExpansionReceived 24 April 2003; revised 23 June 2003; published 24 September 2003 The density functional theory is derived from a cluster expansion by truncating the higher-order correlations in one and only one term in the kinetic energy. The formulation allows self-consistent calculation of the exchange correlation effect without imposing additional assumptions to generalize the local density approximation. The pair correlation is described as a two-body collision of bound-state electrons, and modifies the electron- electron interaction energy as well as the kinetic energy. The theory admits excited states, and has no self-interaction energy. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.133001
DOI:
10.1103/PhysRevLett.91.133001
PACS:
31.15.Ew, 31.10.+z, 71.15.Pd, 71.45.Gm
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