P. Gill

activity

20102017

most citedTwo electrons on a hypersphere: a quasi-exactly solvable model

91 citations · 704 across the 29 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

cond-mat.str-el2013★ 36 cited

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, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. We use…

physics.chem-ph2013★ 6 cited

Distribution of $r_{12} \cdot p_{12}$ in quantum systems

Yves A. Bernard, Pierre-Francçois Loos, Peter M. W. Gill

We introduce the two-particle probability density $X (x)$ of $x = r_{12} \cdot p_{12} = (r_{1} - r_{2}) \cdot (p_{1} - p_{2})$ . We show how to deri…

physics.chem-ph2013★ 6 cited

Exact wave functions for concentric two-electron systems

Pierre-François Loos, Peter M. W. Gill

We show that the exact solution of the Schrödinger equation for two electrons confined to two distinct concentric rings or spheres can be found in closed form for particular sets o…

Uniform electron gases. I. Electrons on a ring

Distribution of r12​⋅p12​ in quantum systems

Exact wave functions for concentric two-electron systems

Distribution of $r_{12} \cdot p_{12}$ in quantum systems