Inhomogeneous Electron Gas. Hohenberg, P. & Kohn, W. Physical Review, 136(3B):B864–B871, November, 1964. ![Inhomogeneous Electron Gas [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex 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), ̃nn0≪1, and (2) n(r)=ϕ(rr0) 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{hohenberg_inhomogeneous_1964,
title = {Inhomogeneous {Electron} {Gas}},
volume = {136},
url = {https://link.aps.org/doi/10.1103/PhysRev.136.B864},
doi = {10.1103/PhysRev.136.B864},
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), ̃nn0≪1, and (2) n(r)=ϕ(rr0) 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.},
number = {3B},
urldate = {2017-05-12},
journal = {Physical Review},
author = {Hohenberg, P. and Kohn, W.},
month = nov,
year = {1964},
pages = {B864--B871},
}
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