Spin scaling of the electron-gas correlation energy in the high-density limit

1991 ◽  
Vol 43 (11) ◽  
pp. 8911-8916 ◽  
Author(s):  
Yue Wang ◽  
John P. Perdew
Keyword(s):  
Correlation Energy ◽  
Electron Gas ◽  
High Density ◽  
Density Limit

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.

scholarly journals Correlation energy of two electrons in the high-density limit

2009 ◽  
Vol 131 (24) ◽  
pp. 241101 ◽  
Author(s):  
Pierre-François Loos ◽  
Peter M. W. Gill
Keyword(s):  
Correlation Energy ◽  
High Density ◽  
Density Limit

scholarly journals Correlation Energy of an Electron Gas at High Density

1957 ◽  
Vol 106 (2) ◽  
pp. 364-368 ◽  
Author(s):  
Murray Gell-Mann ◽  
Keith A. Brueckner
Keyword(s):  
Correlation Energy ◽  
Electron Gas ◽  
High Density
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