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Analytic Coulomb matrix elements in a three-dimensional geometry

Jaime Zaratiegui
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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.

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Jaime Zaratiegui. 2005-11-04. Analytic Coulomb matrix elements in a three-dimensional geometry. https://doi.org/10.1063/1.2146187

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