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
2011 ◽  
Vol 25 (15) ◽  
pp. 2019-2030
Author(s):  
LIANGJIE FU ◽  
YUAN CHEN

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.


1974 ◽  
Vol 36 (4) ◽  
pp. 255-262 ◽  
Author(s):  
Colin J. Thompson

2011 ◽  
Vol 8 (2) ◽  
pp. 595-597 ◽  
Author(s):  
Yuki Obara ◽  
Keita Saitoh ◽  
Masaru Oda ◽  
Toshiro Tani

2005 ◽  
Vol 95 (19) ◽  
Author(s):  
E. B. Manoukian ◽  
S. Sirininlakul
Keyword(s):  

1990 ◽  
Vol 42 (4) ◽  
pp. 1215-1217 ◽  
Author(s):  
Enrique Alvarez ◽  
J. L. F. Barbón ◽  
Agustín Nieto
Keyword(s):  

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