ONE-PARTICLE PROPERTIES OF AN INHOMOGENEOUS INTERACTING ELECTRON GAS.
Abstract
In previous publications (especially P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1965) and W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965)) a theory of the ground state of an inhomogeneous interacting electron gas was developed, in which the electronic density n(r) played a dominant role. This approach is extended to the oneparticle 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 n(r), and, in both 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, Schroedinger-like equations for the single-particle-like excitations, whose solution determines their energies and lifetimes. It is shown how to apply this procedure to metals. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 14, 1965
- Accession Number
- AD0625343
Entities
People
- Lu Jeu Sham
- W. Kohn
Organizations
- University of California, San Diego