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. © 2011 World Scientific Publishing Company.
CITATION STYLE
Fu, L., & Chen, Y. (2011). Ground-state energy of the electron gas with the modified Coulomb potential 1/rp. International Journal of Modern Physics B, 25(15), 2019–2030. https://doi.org/10.1142/S0217979211101223
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