91 citations · 704 across the 29 of their papers we have counts for
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Uniform electron gases. I. Electrons on a ring
Pierre-François Loos, Peter M. W. Gill
We introduce a new paradigm for one-dimensional uniform electron gases (UEGs). In this model, electrons are confined to a ring and interact via a bare Coulomb operator. We use…
Correlation energy of the one-dimensional Coulomb gas
Pierre-François Loos, Peter M. W. Gill
We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, electrons are confined to a ring and interact via a bare Coulo…
Exact wave functions of two-electron quantum rings
Pierre-François Loos, Peter M. W. Gill
We demonstrate that the Schrödinger equation for two electrons on a ring, which is the usual paradigm to model quantum rings, is solvable in closed form for particular values of th…
Correlation energy of the spin-polarized uniform electron gas at high density
Pierre-François Loos, Peter M. W. Gill
The correlation energy per electron in the high-density uniform electron gas can be written as $\Ec(r_s,ζ) = \lam_0(ζ) \ln r_s + \eps_0(ζ) + \lam_1(ζ) \,r_s \ln r_s + O(r_s)$, wher…
Exact energy of the spin-polarized two-dimensional electron gas at high density
Pierre-François Loos, Peter M. W. Gill
We derive the exact expansion, to , of the energy of the high-density spin-polarized two-dimensional uniform electron gas, where is the Seitz radius.
Leading-order behavior of the correlation energy in the uniform electron gas
Pierre-François Loos, Peter M. W. Gill
We show that, in the high-density limit, restricted Møller-Plesset (RMP) perturbation theory yields for the correlation…
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}…