English

Ground state of two electrons on a sphere

Other Condensed Matter 2010-02-19 v1

Abstract

We have performed a comprehensive study of the singlet ground state of two electrons on the surface of a sphere of radius RR. We have used electronic structure models ranging from restricted and unrestricted Hartree-Fock theory to explicitly correlated treatments, the last of which lead to near-exact wavefunctions and energies for any value of RR. M{\o}ller-Plesset energy corrections (up to fifth-order) are also considered, as well as the asymptotic solution in the large-RR regime.

Keywords

Cite

@article{arxiv.1002.3398,
  title  = {Ground state of two electrons on a sphere},
  author = {Pierre-François Loos and Peter M. W. Gill},
  journal= {arXiv preprint arXiv:1002.3398},
  year   = {2010}
}

Comments

9 pages, 3 figures

R2 v1 2026-06-21T14:48:13.622Z