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Real-space quadrature: A convenient, efficient representation for multipole expansions

Real-space quadrature: A convenient, efficient representation for multipole expansions

Multipolar expansions are a foundational tool for describing basis functions in quantum mechanics, many-body polarization, and other distributions on the unit sphere. Progress on these topics is often held back by complicated and competing formulas for calculating and using spherical harmonics. We present a complete representation for supersymmetric 3D tensors …