Analytic Coulomb matrix elements in a three-dimensional geometry
Mathematical Physics
2007-10-17 v2 math.MP
Abstract
Using a complete basis set we have obtained an analytic expression for the matrix elements of the Coulomb interaction. These matrix elements are written in a closed form. We have used the basis set of the three-dimensional isotropic quantum armonic oscillator in order to develop our calculations, which can be useful when treating interactions in localized systems.
Cite
@article{arxiv.math-ph/0505029,
title = {Analytic Coulomb matrix elements in a three-dimensional geometry},
author = {Jaime Zaratiegui},
journal= {arXiv preprint arXiv:math-ph/0505029},
year = {2007}
}
Comments
3 pages, errata