TY - JOUR
T1 - Exact wave functions of two-electron quantum rings
AU - Loos, Pierre Franois
AU - Gill, Peter M.W.
PY - 2012/2/23
Y1 - 2012/2/23
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84857556435&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.108.083002
DO - 10.1103/PhysRevLett.108.083002
M3 - Article
SN - 0031-9007
VL - 108
JO - Physical Review Letters
JF - Physical Review Letters
IS - 8
M1 - 083002
ER -