Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions. Kvaal, S. Physical Review B - Condensed Matter and Materials Physics, 2009.
doi  abstract   bibtex   
We give a thorough analysis of the convergence properties of the configuration-interaction method as applied to parabolic quantum dots among other systems, including 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. \textcopyright 2009 The American Physical Society.
@article{Kvaal2009a,
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 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. {\textcopyright} 2009 The American Physical Society.},
archivePrefix = {arXiv},
arxivId = {0808.2145},
author = {Kvaal, Simen},
doi = {10.1103/PhysRevB.80.045321},
eprint = {0808.2145},
issn = {10980121},
journal = {Physical Review B - Condensed Matter and Materials Physics},
number = {4},
title = {{Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions}},
volume = {80},
year = {2009}
}

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