Interacting electrons in quantum dots

The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to th e ground-state energies are obtained. It is shown that our lower bounds agr ee well with the results of exact diagonalization. Analytic results for the lower bounds to the ground-state energies of the quantum dots in a strong magnetic field (known as electron molecule) agree very well with numericall y calculated lower bounds. (C) 2001 Elsevier Science B.V. All rights reserv ed.