Ground-State Energy of an Electron Gas in a Lattice of Positive Point Charges

1961 ◽  
Vol 6 (11) ◽  
pp. 603-604 ◽  
Author(s):  
A. Bellemans ◽  
M. De Leener
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Electron Gas ◽  
Positive Point

A Parametric Approach to the Ground-State Energy of an Electron Gas

1968 ◽  
Vol 175 (1) ◽  
pp. 224-228 ◽  
Author(s):  
M. S. Becker ◽  
A. A. Broyles ◽  
Tucson Dunn
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Electron Gas ◽  
Parametric Approach

Electronic Excess Energy in Modulated Positive-Background Model

1982 ◽  
Vol 21 ◽  
Author(s):  
H. Yahauchi
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Electron Gas ◽  
Alloy System ◽  
Excess Energy ◽  
Absolute Zero ◽  
Background Model ◽  
Zero Temperature ◽  
Modulation Wavelength

ABSTRACTElectronic excess energy of a composition-modulated alloy system at absolute zero temperature is obtained using Hohenberg and Kohn's formula (for the ground-state energy of an inhomogeneous electron gas) in a modulated positive-background model. Dependence of the electronic excess energy on the modulation wavelength is studied. Two leading terms in the excess energy are examined to elucidate the limitation of this model.

Ground-State Energy of a High-Density Electron Gas

1964 ◽  
Vol 133 (2A) ◽  
pp. A371-A374 ◽  
Author(s):  
W. J. Carr ◽  
A. A. Maradudin
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Electron Gas ◽  
High Density

GROUND-STATE ENERGY OF THE ELECTRON GAS WITH THE MODIFIED COULOMB POTENTIAL 1/rp

2011 ◽  
Vol 25 (15) ◽  
pp. 2019-2030
Author(s):  
LIANGJIE FU ◽  
YUAN CHEN
Keyword(s):  
Ground State Energy ◽  
Coulomb Potential ◽  
Ground State ◽  
State Energy ◽  
Correlation Energy ◽  
Electron Gas ◽  
High Density ◽  
Low Density ◽  
Density Limit ◽  
Low Density Limit

In this paper, due to the effect of positively-charged screening holes, Coulomb potential energy 1/r is modified to be 1/rp, which is assumed to deviate slightly from the former. Using many-body perturbation theory, we obtain a simple analytic representation of the ground-state energy and correlation energy for a uniform electron gas. Our results agree with those obtained by the numerical and semi-analytic methods at low-density limit. Higher ground-state energies at high-density limit are calculated from our model. High order r expansion terms are found at high-density region. A curve of transition density versus p is drawn via the Misawa spin-scaling relation, which is in consistent with Perdew's study at low-density limit.

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