GROUND-STATE ENERGY OF THE ELECTRON GAS WITH THE MODIFIED COULOMB POTENTIAL 1/rp
2011 ◽
Vol 25
(15)
◽
pp. 2019-2030
Keyword(s):
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.
2000 ◽
Vol 10
(PR5)
◽
pp. Pr5-381-Pr5-388
Keyword(s):
1977 ◽
Vol 26
(2)
◽
pp. 216-216
◽
1980 ◽
Vol 13
(3)
◽
pp. 343-348
◽
Keyword(s):
2001 ◽
Vol 36
(5)
◽
pp. 531-534
◽
Keyword(s):
2008 ◽
Vol 131
(6)
◽
pp. 1139-1154
◽