91 citations · 704 across the 29 of their papers we have counts for
6 papers · 1 filter
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…
Correlation energy of two electrons in a ball
Pierre-François Loos, Peter M. W. Gill
We study the ground-state correlation energy of two electrons of opposite spin confined within a -dimensional ball () of radius . In the high-density reg…
Correlation energy of two electrons in the high-density limit
Pierre-François Loos, Peter M. W. Gill
We consider the high-density-limit correlation energy $\Ec$ in dimensions for the ground states of three two-electron systems: helium (in which the electrons move i…
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…