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Article
Analytically Reduced Form for the Class of Integrals Containing Multicenter Products of 1s Hydrogenic Orbitals, Coulomb or Yukawa Potentials, and Plane Waves
Physical Review A
  • Jack C. Straton, Portland State University
Document Type
Article
Publication Date
5-15-1989
Subjects
  • Atomic orbitals,
  • Fourier transformations -- Mathematical models,
  • Integrals
Abstract

The class of integrals containing the product of N 1s hydrogenic orbitals and M Coulomb or Yukawa potentials with m plane waves is investigated analytically. The results obtained by Straton (1989) are extended and generalized. It is shown that the dimensionality of the entire class can be reduced from 3m to M+N-1.

Description

This is the publisher's final PDF. Article appears in Physical Review A (http://pra.aps.org/) and is copyrighted by APS Journals (http://publish.aps.org/).

DOI
10.1103/PhysRevA.39.5071
Persistent Identifier
http://archives.pdx.edu/ds/psu/10993
Citation Information
Straton, Jack C. "Analytically reduced form for the class of integrals containing multicenter products of 1s hydrogenic orbitals, Coulomb or Yukawa potentials, and plane waves." Physical Review A 39 (1989): 5071-5074.