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Title: Analytic Coulomb matrix elements in a three-dimensional geometry

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 harmonic oscillator in order to develop our calculations, which can be useful when treating interactions in localized systems.

Authors:
 [1]
  1. Department of Physical Sciences, P.O. Box 3000, FIN-90014 University of Oulu (Finland)
Publication Date:
OSTI Identifier:
20768689
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 46; Journal Issue: 12; Other Information: DOI: 10.1063/1.2146187; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; GEOMETRY; HARMONIC OSCILLATORS; MATRIX ELEMENTS; PARTICLE INTERACTIONS; QUANTUM MECHANICS; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Garcia, Jaime Zaratiegui. Analytic Coulomb matrix elements in a three-dimensional geometry. United States: N. p., 2005. Web. doi:10.1063/1.2146187.
Garcia, Jaime Zaratiegui. Analytic Coulomb matrix elements in a three-dimensional geometry. United States. doi:10.1063/1.2146187.
Garcia, Jaime Zaratiegui. Thu . "Analytic Coulomb matrix elements in a three-dimensional geometry". United States. doi:10.1063/1.2146187.
@article{osti_20768689,
title = {Analytic Coulomb matrix elements in a three-dimensional geometry},
author = {Garcia, Jaime Zaratiegui},
abstractNote = {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 harmonic oscillator in order to develop our calculations, which can be useful when treating interactions in localized systems.},
doi = {10.1063/1.2146187},
journal = {Journal of Mathematical Physics},
number = 12,
volume = 46,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}