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Frequency‐Dependent Solution of the Time‐Dependent Hartree‐Fock Equation in the Electron Gas
Author(s) -
Brosens F.,
Devreese J. T.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221470119
Subject(s) - hartree–fock method , logarithm , gravitational singularity , fermi gas , variational method , electron , variational principle , physics , mathematical analysis , mathematics , quantum mechanics , quantum electrodynamics
A numerical procedure is presented to solve the time‐dependent Hartree‐Fock equation for the homogeneous electron gas. This equation accounts for the dynamical exchange effects in the dielectric function. The analytical and numerical techniques are described, and a comparison is made with the results of a variational approach, developed earlier. In general, the variational localfield correction turns out to be in good agreement with the (exact) numerical results. But the logarithmic singularities in the variational calculation are shown to be an artefact of the variational procedure, and not an inherent property of the dynamical exchange effects.