Inhomogeneous Electron Gas
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 groundstate energy associated with v(r). The functional F[n(r)] is then discussed for two situations: (1) n(r)=n_{0}+n~(r), n~n_{0}<<1, and (2) n(r)=ϕ(rr_{0}) with ϕ arbitrary and r_{0}>∞. 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 ThomasFermi methods and their limitations. Some new extensions of these methods are presented.
 Publication:

Physical Review
 Pub Date:
 November 1964
 DOI:
 10.1103/PhysRev.136.B864
 Bibcode:
 1964PhRv..136..864H