Abstract
A system of three identical charged particles in a two-dimensional harmonic well produced by an external potential and a transverse magnetic field is treated in the framework of the configuration space Faddeev approach. Energies of the three lowest states are calculated for the systems of different symmetry including spin one-half fermions, i.e., the three-electron quantum dot and spinless bosons. Calculations are performed for a wide range of the total angular-momentum values and results are fitted to a simple analytical formula which is exact in the limits of small and large frequency of the effective confining potential. This allows one to predict properties of the lowest states for almost arbitrary parameters of these systems.
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