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Properties of the exact universal density and one-matrix functionals

✍ Scribed by Mel Levy; John P. Perdew

Book ID: 104581660
Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 84 KB
Volume: 28
Category: Article
ISSN: 0020-7608
DOI: 10.1002/qua.560280870

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By the Hellmann-Feynman theorem, the density n (r) of many electrons in the presence of exter- nal potential U(r) obeys the relationships d r n(r)Vv(r)=0 and d r n(r)r)&VU(r)=0. By the virial theorem, the interacting kinetic and electron-electron repulsion expectation values obey 2T[n]+ V"[n] = -f d