Exact wave functions of two-electron quantum rings

Details Exact wave functions of two-electron quantum rings Exact wave functions of two-electron quantum rings

2011-12-07

arxiv.org/abs/1112.1451v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures, 2 tables, to appear in Phys. Rev. Lett

Scientific paper

We demonstrate that the Schr\"odinger 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.

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