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Physical Sciences and Mathematics Commons

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Physics

Portland State University

Physics Faculty Publications and Presentations

1989

Integrals

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Analytically Reduced Form For The Class Of Integrals Containing Multicenter Products Of 1s Hydrogenic Orbitals, Coulomb Or Yukawa Potentials, And Plane Waves, Jack C. Straton May 1989

Analytically Reduced Form For The Class Of Integrals Containing Multicenter Products Of 1s Hydrogenic Orbitals, Coulomb Or Yukawa Potentials, And Plane Waves, Jack C. Straton

Physics Faculty Publications and Presentations

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.