Time-dependent Hartree-Fock dielectric function for the uniform electron gas

1980 ◽  
Vol 22 (6) ◽  
pp. 2737-2743 ◽  
Author(s):  
N. E. Brener ◽  
J. L. Fry
Keyword(s):  
Dielectric Function ◽  
Electron Gas ◽  
Time Dependent ◽  
Hartree Fock ◽  
Uniform Electron Gas

Time-dependent Hartree-Fock formalism for the dielectric function

1979 ◽  
Vol 19 (4) ◽  
pp. 1720-1726 ◽  
Author(s):  
N. E. Brener ◽  
J. L. Fry
Keyword(s):  
Dielectric Function ◽  
Time Dependent ◽  
Hartree Fock

scholarly journals Dielectric function for free electron gas: comparison between Drude and Lindhard models

2016 ◽  
Vol 39 (2) ◽  
Author(s):  
A. V. Andrade-Neto
Keyword(s):  
Dielectric Function ◽  
Electron Gas ◽  
Time Dependent ◽  
Complex Conductivity ◽  
Complex Dielectric Function ◽  
Doped Semiconductors ◽  
Conduction Electrons ◽  
Heavily Doped ◽  
Function Models ◽  
External Time

The interaction between light and metals or heavily doped semiconductors is largely determined by their free conduction electrons. The frequency and wave vector dependent complex dielectric function is an essential ingredient of the description of its optical and transport properties. The aim of this paper is to give a didactic introduction how the conduction electrons in solids responds to an external time dependent electric field and to make a comparison between Drude and Lindhard dielectric function models for the electron gas. In within framework of Lindhard model we derived an expression for dielectric function that is similar to the familiar Drudes's formula. In particular, the differences and similarities between the complex conductivity obtained from the two models are analyzed.

A density matrix approach to correlation in a uniform electron gas

1960 ◽  
Vol 256 (1284) ◽  
pp. 62-80 ◽  
Keyword(s):  
Density Matrix ◽  
Electron Gas ◽  
Second Order ◽  
Point Of View ◽  
Matrix Approach ◽  
Correlation Effects ◽  
Hartree Fock ◽  
Direct Generalization ◽  
Order Matrix ◽  
Uniform Electron Gas

The energy of a uniform electron gas can be specified completely in terms of its second-order density matrix. Mayer has therefore suggested that trial matrices satisfying all the usual conditions might be employed to determine variationally correlation energies and pair functions. Unfortunately, the particular choice made by Mayer did not satisfy all the Pauli conditions on the second-order matrix. However, matrices satisfactory from this point of view are presented here and the consequences of assuming such forms are investigated. Since one of the matrices is a direct generalization of the Hartree—Fock expression, a description of correlation effects is assured and it appears that this should be adequate for all densities.

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