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Rapid Evaluation of Coulomb Integrals

โœ Scribed by Harris, Frank E.


Book ID
115507057
Publisher
American Institute of Physics
Year
1969
Tongue
English
Weight
741 KB
Volume
51
Category
Article
ISSN
0021-9606

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๐Ÿ“œ SIMILAR VOLUMES


Efficient and Rapid Evaluation of Three-
โœ H. Safouhi; P.E. Hoggan ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

Among the two electron integrals occurring in the molecular context, the threecenter Coulomb and hybrid integrals are numerous and difficult to evaluate to high accuracy. The analytical and numerical difficulties arise mainly from the presence of the spherical Bessel function and hypergeometric seri

Efficient and Rapid Numerical Evaluation
โœ Hassan Safouhi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

Two-electron, four-center Coulomb integrals are undoubtedly the most difficult type involved in ab initio and density functional theory molecular structure calculations. Millions of such integrals are required for molecules of interest; therefore rapidity is the primordial criterion when the precisi

Analytical evaluation of integrals over
โœ R.K. Nesbet ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 341 KB

Indefinite integrals of products of Coulomb wave functions over the interval (r, oc) can be evaluated by conversion to continued fractions. Examples are given of normalization and dipole transition integrals required in photoionization calculations.

Two-Center Coulomb Integrals
โœ Geller, Murray ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› American Institute of Physics ๐ŸŒ English โš– 404 KB