One-Particle Properties of an Inhomogeneous Interacting Electron Gas
- 13 May 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 145 (2), 561-567
- https://doi.org/10.1103/physrev.145.561
Abstract
In previous publications (especially by Hohenberg, Kohn, and Sham), a theory of the ground state of an inhomogeneous interacting electron gas was developed, in which the electronic density played a dominant role. The present paper extends this approach to the one-particle Green's function and physical properties related to it, such as single-particle-like excitations and, in the case of metals, the Fermi surface. The Dyson mass operator is studied as a function of its spatial arguments and as a functional of , and, in both senses, it is found to have important short-range properties. An approximation for , which is exact for systems of slowly varying density, is proposed. This leads to simple, explicit, Schrödinger-like equations for the single-particle-like excitations, whose solution determines their energies and lifetimes. In particular, we show how to apply this procedure to metals.
Keywords
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