91 citations · 252 across the 5 of their papers we have counts for
5 papers
A Tale of Two Electrons: Correlation at High Density
Pierre-François Loos, Peter M. W. Gill
We review our recent progress in the determination of the high-density correlation energy $\Ec$ in two-electron systems. Several two-electron systems are considered, such as the we…
Excited states of spherium
Pierre-François Loos, Peter M. W. Gill
We report analytic solutions of a recently discovered quasi-exactly solvable model consisting of two electrons, interacting {\em via} a Coulomb potential, but restricted to remain…
Ground state of two electrons on concentric spheres
Pierre-François Loos, Peter M. W. Gill
We extend our analysis of two electrons on a sphere [Phys. Rev. A {\bf 79}, 062517 (2009); Phys. Rev. Lett. {\bf 103}, 123008 (2009)] to electrons on concentric spheres with differ…
Two electrons on a hypersphere: a quasi-exactly solvable model
Pierre-François Loos, Peter M. W. Gill
We show that the exact wave function for two electrons, interacting through a Coulomb potential but constrained to remain on the surface of a -sphere ($\mathcal{D} \ge…
Ground state of two electrons on a sphere
Pierre-François Loos, Peter M. W. Gill
We have performed a comprehensive study of the singlet ground state of two electrons on the surface of a sphere of radius . We have used electronic structure models ranging from…