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A density functional perspective for one-particle systems

H. L. Neal

quant-pharXiv:quant-ph/0306070

Abstract

Density functional theory is discussed in the context of one-particle systems. We show that the ground state density ρ0(x) and energy E0 are simply related to a family of external potential energy functions with ground state wave functions ψn(x) ρ0(x)n and energies En=2nE0 for certain integer values of n.

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