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Alternative Fourier Expansions for Inverse Square Law Forces

Howard S. Cohl·A. R. P. Rau·Joel E. Tohline·Dana A. Browne·John E. Cazes·Eric I. Barnes
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Abstract

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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Howard S. Cohl, A. R. P. Rau, Joel E. Tohline, Dana A. Browne, John E. Cazes, Eric I. Barnes. 2001-01-24. Alternative Fourier Expansions for Inverse Square Law Forces. https://doi.org/10.1103/physreva.64.052509

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