The exact numerical diagonalization of the Hamiltonian of a 2D circular quantum dot is performed for 2, 3, and 4 electrons.The results are compared with those of the perturbation theory.Our numerical results agree reasonably well for small values of the dimensionles coupling constant \lambda=a\over a_B where a is the dot radius and a_B is the effective Bohr radius.Exact diagonalization results are compared with the classical predictions, and they are found to be almost coincident for large \lambda values. PACS Numbers: 73.20.Dx, 73.61.-r
@article{arxiv.cond-mat/9809192,
title = {Interacting electrons in a 2D quantum dot},
author = {N. Akman and M. Tomak},
journal= {arXiv preprint arXiv:cond-mat/9809192},
year = {2009}
}