Published In

Physical Review A

Document Type

Article

Publication Date

5-1989

Subjects

Fourier transformations, Coulomb functions, Feynman integrals, Orthogonalization methods, Atomic orbitals

Abstract

The Fourier transform of the multicenter product of N 1s hydrogenic orbitals and M Coulomb or Yukawa potentials is given as an (M+N-1)-dimensional Feynman integral with external momenta and shifted coordinates. This is accomplished through the introduction of an integral transformation, in addition to the standard Feynman transformation for the denominators of the momentum representation of the terms in the product, which moves the resulting denominator into an exponential. This allows the angular dependence of the denominator to be combined with the angular dependence in the plane waves.

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.39.5062

Persistent Identifier

http://archives.pdx.edu/ds/psu/11000

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