Published In

Physical Review A

Document Type

Article

Publication Date

3-1987

Subjects

Legendre's functions, Fourier transformations, Orthogonalization methods, Atomic orbitals

Abstract

Integrating the radial part of the Fourier transform of the product of N hydrogenic orbitals results in an associated Legendre function that can be reduced to a finite series of elementary functions. This transform is found to depend on a polynomial in the wave vector k divided by a binomial in k2 raised to a power that is the sum of principle quantum numbers. This form facilitates the analytical reduction of integrals arising from orthogonalization corrections in atomic processes. Transforms for the product of orbital pairs (1s,1s) through (1s,3d) are given explicitly.

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.35.2729

Persistent Identifier

http://archives.pdx.edu/ds/psu/11001

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