Analytic Coulomb matrix elements in a three-dimensional geometry

Details Analytic Coulomb matrix elements in a three-dimensional geometry Analytic Coulomb matrix elements in a three-dimensional geometry

2005-05-10

arxiv.org/abs/math-ph/0505029v2

Physics

Mathematical Physics

3 pages, errata

Scientific paper

10.1063/1.2146187

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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