91 citations · 704 across the 29 of their papers we have counts for
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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…
Invariance of the correlation energy at high density and large dimension in two-electron systems
Pierre-François Loos, Peter M. W. Gill
We prove that, in the large-dimension limit, the high-density correlation energy $\Ec$ of two opposite-spin electrons confined in a -dimensional space and interacting {\em via}…
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…