dorsal/arxiv
View SchemaAlternative Fourier Expansions for Inverse Square Law Forces
| Authors | Howard S. Cohl, A. R. P. Rau, Joel E. Tohline, Dana A. Browne, John E. Cazes, Eric I. Barnes |
|---|---|
| Categories | |
| ArXiv ID | physics/0101086 |
| URL | https://arxiv.org/abs/physics/0101086 |
| DOI | 10.1103/PhysRevA.64.052509 |
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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"abstract": "Few-body problems involving Coulomb or gravitational interactions between\npairs of particles, whether in classical or quantum physics, are generally\nhandled through a standard multipole expansion of the two-body potentials. We\ndiscuss an alternative based on a compact, cylindrical Green\u0027s function\nexpansion that should have wide applicability throughout physics. Two-electron\n\"direct\" and \"exchange\" integrals in many-electron quantum systems are\nevaluated to illustrate the procedure which is more compact than the standard\none using Wigner coefficients and Slater integrals.",
"arxiv_id": "physics/0101086",
"authors": [
"Howard S. Cohl",
"A. R. P. Rau",
"Joel E. Tohline",
"Dana A. Browne",
"John E. Cazes",
"Eric I. Barnes"
],
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"physics.atom-ph",
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"doi": "10.1103/PhysRevA.64.052509",
"title": "Alternative Fourier Expansions for Inverse Square Law Forces",
"url": "https://arxiv.org/abs/physics/0101086"
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