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Hellmann-Feynman, virial, and scaling requisites for the exact universal density functionals. Shape of the correlation potential and diamagnetic susceptibility for atoms

โœ Scribed by Levy, Mel; Perdew, John P.


Book ID
121790066
Publisher
The American Physical Society
Year
1985
Tongue
English
Weight
651 KB
Volume
32
Category
Article
ISSN
1050-2947

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Hellmann-Feynman, virial, and scaling re
โœ Levy, Mel; Perdew, John P. ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› The American Physical Society ๐ŸŒ English โš– 651 KB

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