Accession Number:

AD0625343

Title:

ONE-PARTICLE PROPERTIES OF AN INHOMOGENEOUS INTERACTING ELECTRON GAS.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV SAN DIEGO DEPT OF PHYSICS

Personal Author(s):

• Sham,L. J.
• Kohn,W.

Report Date:

1965-12-14

Pagination or Media Count:

27.0

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 nr played a dominant role. This approach is extended to the oneparticle Greens 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 nr, 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

Descriptors:

• *ATOMIC ENERGY LEVELS
• *ELECTRONS
• METALS
• EXCITATION
• GROUND STATE
• OPERATORS(MATHEMATICS)
• FIELD THEORY
• APPROXIMATION(MATHEMATICS)
• POTENTIAL THEORY

Subject Categories:

• Atomic and Molecular Physics and Spectroscopy
• Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE