Abstract
The basic idea of density functional theory is to describe a many-electron system exclusively and completely in terms of its ground-state density, i.e., in terms of the ordinary one-particle density (not the density matrix). This means two things:
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1.
Every observable quantity of a stationary quantum mechanical system can be calculated, in principle exactly, from the ground-state density alone, i.e. every observable quantity can be written as a functional of the ground-state density.
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2.
The ground-state density can be calculated, in principle exactly, from a variational principle involving only the density.
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Gross, E.K.U., Kurth, S. (1994). Density Functional Theory: The Modern Treatment of Electron Correlations. In: Malli, G.L. (eds) Relativistic and Electron Correlation Effects in Molecules and Solids. NATO ASI Series, vol 318. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1340-1_13
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