Alternative Fourier Expansions for Inverse Square Law Forces

Details Alternative Fourier Expansions for Inverse Square Law Forces Alternative Fourier Expansions for Inverse Square Law Forces

2001-01-24

arxiv.org/abs/physics/0101086v2

Physics

Atomic Physics

10 pages, latex/Revtex4, 1 figures

Scientific paper

Few-body problems involving Coulomb or gravitational interactions between pairs of particles, whether in classical or quantum physics, are generally handled through a standard multipole expansion of the two-body potentials. We discuss an alternative based on a compact, cylindrical Green's function expansion that should have wide applicability throughout physics. Two-electron "direct" and "exchange" integrals in many-electron quantum systems are evaluated to illustrate the procedure which is more compact than the standard one using Wigner coefficients and Slater integrals.

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