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Exact Wave Functions of Two-Electron Quantum Rings

Loos, Pierre-Francois; Gill, Peter


We demonstrate that the Schrdinger 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 the radius. We show that both polynomial and irrational solutions can be found for any value of the angular momentum and that the singlet and triplet manifolds, which are degenerate, have distinct geometric phases. We also study the nodal structure associated with these two-electron states.

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Physical Review Letters
DOI: 10.1103/PhysRevLett.108.083002


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