%0 Journal Article %1 Hohenberg1964 %A Hohenberg, P. %A Kohn, W. %D 1964 %J Phys. Rev. %K imported %N 3B %P B864-B871 %R 10.1103/PhysRev.136.B864 %T Inhomogeneous Electron Gas %U ttp://link.aps.org/abstract/PR/v136/pB864 %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+n?(r), n?/n0?1, and (2) n(r)=?(r/r0) with ? 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{Hohenberg1964, 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+n?(r), n?/n0?1, and (2) n(r)=?(r/r0) with ? 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 = {2009-09-09T17:55:18.000+0200}, author = {Hohenberg, P. and Kohn, W.}, biburl = {https://www.bibsonomy.org/bibtex/29089ce780b34295a3aeeef9d6875cda4/pbuczek}, doi = {10.1103/PhysRev.136.B864}, file = {Hohenberg1964.pdf:Hohenberg1964.pdf:PDF;Hohenberg1964.pdf:Hohenberg1964.pdf:PDF}, interhash = {768a46ec6e3e56a9ab77cc01695db5d6}, intrahash = {9089ce780b34295a3aeeef9d6875cda4}, journal = {Phys. Rev.}, keywords = {imported}, month = {November }, number = {3B }, owner = {pbuczek}, pages = {B864-B871}, timestamp = {2009-09-09T17:55:35.000+0200}, title = {Inhomogeneous Electron Gas}, url = {ttp://link.aps.org/abstract/PR/v136/pB864}, volume = 136, year = 1964 }