Interacting Electrons in Quantum Dots
arXiv:cond-mat/0109130 · doi:10.1016/S0375-9601(01)00604-1
Abstract
The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to the ground-state energies are obtained. It is shown that our lower bounds agree 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 numerically calculated lower bounds.
12 pages, 2 tables. Phys. Lett. A (accepted)