SELF-CONSISTENT EQUATIONS INCLUDING EXCHANGE AND CORRELATION EFFECTS.

Abstract

From a theory of Hohenberg and Kohn, approximation methods for treating an inhomogeneous system of interacting electrons are developed. These methods are exact for systems of slowly varying or high density. For the ground state, they lead to self-consistent equations analogous to the Hartree and Hartree-Fock equations, respectively. In these equations the exchange and correlation portions of the chemical potential of a uniform electron gas appear as additional effective potentials. (The exchange portion of our effective potential differs from that due to Slater by a factor of 2/3.) Electronic systems at finite temperatures and in magnetic fields are also treated by similar methods. An appendix deals with a further correction for systems with short wavelength density oscillations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 17, 1965
Accession Number
AD0616759

Entities

People

  • Lu Jeu Sham
  • W. Kohn

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Charged Particles
  • Electron Gas
  • Electrons
  • Elementary Fermions
  • Elementary Particles
  • Equations
  • Fermions
  • Ground State
  • High Density
  • Leptons
  • Magnetic Fields
  • Oscillation
  • Short Wavelengths
  • Subatomic Particles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum Chemistry

Technology Areas

  • Microelectronics