Fun with Quantum Dots
Mesoscale and Nanoscale Physics
2007-05-23 v1 Strongly Correlated Electrons
Abstract
We consider quantum dots with a parabolic confining potential. The qualitative features of such mesoscopic systems as functions of the total number of electrons N and their total angular momentum J, e.g. magic numbers, overall symmetries etc., are derived solely from combinatoric principles. The key is one simple hypothesis about such quantum dots yielding a basis of states (different from the usual single electron states one starts with) which is extremely easy to handle. Within this basis all qualitative features are already present without the need of any perturbation theory.
Cite
@article{arxiv.cond-mat/9811288,
title = {Fun with Quantum Dots},
author = {Michael Flohr},
journal= {arXiv preprint arXiv:cond-mat/9811288},
year = {2007}
}
Comments
9 pages RevTeX, loads of eps figures included