Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions
Computational Physics
2013-05-29 v2 Mesoscale and Nanoscale Physics
Nuclear Theory
Abstract
We give a thorough analysis of the convergence properties of the configuration-interaction method as applied to parabolic quantum dots among other systems, including \emph{a priori} error estimates. The method converges slowly in general, and in order to overcome this, we propose to use an effective two-body interaction well-known from nuclear physics. Through numerical experiments we demonstrate a significant increase in accuracy of the configuration interaction method.
Keywords
Cite
@article{arxiv.0808.2145,
title = {Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions},
author = {Simen Kvaal},
journal= {arXiv preprint arXiv:0808.2145},
year = {2013}
}
Comments
3 figures