Published In
Physical Review A
Document Type
Article
Publication Date
1989
Abstract
In a previous paper the analytically reduced form was found for the general class of integrals containing multicenter products of ls hydrogenic orbitals, Coulomb or Yukawa potentials, and plane waves. The method consisted of combining all angular dependence within a single quadratic form by means of a three-dimensional Fourier transform and a one-dimensional Feynman transform for each term in the product and an additional integral transformation to move the resulting denominator into an exponential to be summed with the vector products in the plane waves. This quadratic form was then diagonalized with respect to the (introduced) momentum integrals and diagonalized again with respect to the (original) spatial integrals. In the present paper the four-dimensional Fourier-Feynman transformations are replaced by the one-dimensional Gaussian transformation so that only one diagonalization is required, yielding a simpler reduced form for the integral. The present work also extends the result to include all s states and pairs of states with I "f'=O summed over the m quantum number.
DOI
10.1103/PhysRevA.39.1676
Persistent Identifier
https://archives.pdx.edu/ds/psu/25891
Citation Details
Straton, J. C. (1989). Analytically reduced form of multicenter integrals from Gaussian transforms. Physical Review A, 39(4), 1676.
Errata_Analytically Reduced Form Of Multicenter Integrals From Gaussian Transforms
Description
Copyright 1989 The American Physical Society.
https://doi.org/10.1103/PhysRevA.39.1676
At the time of publication, Jack Straton was affiliated with the Goddard Space Flight Center, National Aeronautics and Space Administration.