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

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2146187· OSTI ID:20768689
 [1]
  1. Department of Physical Sciences, P.O. Box 3000, FIN-90014 University of Oulu (Finland)

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.

OSTI ID:
20768689
Journal Information:
Journal of Mathematical Physics, Vol. 46, Issue 12; Other Information: DOI: 10.1063/1.2146187; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English