%0 Journal Article %1 HohenbergKohn1964 %A Hohenberg, P. %A Kohn, W. %D 1964 %I American Physical Society %J Phys. Rev. %K DFT %N 3B %P B864--B871 %R 10.1103/PhysRev.136.B864 %T Inhomogeneous Electron Gas %V 136 %X This paper deals with the ground state of an interacting electron gas in an external potential v(r). It is proved that there exists a universal functional of the density, Fn(r), independent of v(r), such that the expression E≡∫v(r)n(r)dr+Fn(r) has as its minimum value the correct ground-state energy associated with v(r). The functional Fn(r) is then discussed for two situations: (1) n(r)=n0+ñ(r), ñ / n0≪1, and (2) n(r)=ϕ(r / r0) with ϕ arbitrary and r0→∞. In both cases F can be expressed entirely in terms of the correlation energy and linear and higher order electronic polarizabilities of a uniform electron gas. This approach also sheds some light on generalized Thomas-Fermi methods and their limitations. Some new extensions of these methods are presented.

@article{HohenbergKohn1964, abstract = {This paper deals with the ground state of an interacting electron gas in an external potential v(r). It is proved that there exists a universal functional of the density, F[n(r)], independent of v(r), such that the expression E≡∫v(r)n(r)dr+F[n(r)] has as its minimum value the correct ground-state energy associated with v(r). The functional F[n(r)] is then discussed for two situations: (1) n(r)=n0+ñ(r), ñ / n0≪1, and (2) n(r)=ϕ(r / r0) with ϕ arbitrary and r0→∞. In both cases F can be expressed entirely in terms of the correlation energy and linear and higher order electronic polarizabilities of a uniform electron gas. This approach also sheds some light on generalized Thomas-Fermi methods and their limitations. Some new extensions of these methods are presented.}, added-at = {2009-05-29T12:20:33.000+0200}, author = {Hohenberg, P. and Kohn, W.}, biburl = {https://www.bibsonomy.org/bibtex/29089ce780b34295a3aeeef9d6875cda4/ondrej.marsalek}, description = {Phys. Rev. 136 (1964): P. Hohenberg and W. Kohn - Inhomogeneous Electron Gas}, doi = {10.1103/PhysRev.136.B864}, interhash = {768a46ec6e3e56a9ab77cc01695db5d6}, intrahash = {9089ce780b34295a3aeeef9d6875cda4}, journal = {Phys. Rev.}, keywords = {DFT}, month = Nov, number = {3B}, numpages = {7}, pages = {B864--B871}, publisher = {American Physical Society}, timestamp = {2009-06-12T11:03:43.000+0200}, title = {Inhomogeneous Electron Gas}, volume = 136, year = 1964 }