English

Electron correlation energy in confined two-electron systems

Atomic Physics 2015-05-19 v1

Abstract

Radial, angular and total correlation energies are calculated for four two-electron systems with atomic numbers Z=0-3 confined within an impenetrable sphere of radius R. We report accurate results for the non-relativistic, restricted Hartree-Fock and radial limit energies over a range of confinement radii from 0.05 - 10 a0. At small R, the correlation energies approach limiting values that are independent of Z while at intermediate R, systems with Z > 1 exhibit a characteristic maximum in the correlation energy resulting from an increase in the angular correlation energy which is offset by a decrease in the radial correlation energy.

Keywords

Cite

@article{arxiv.1008.4366,
  title  = {Electron correlation energy in confined two-electron systems},
  author = {C. L. Wilson and H. E. Montgomery and K. D. Sen and D. C. Thompson},
  journal= {arXiv preprint arXiv:1008.4366},
  year   = {2015}
}
R2 v1 2026-06-21T16:05:13.743Z