# Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations

@article{Heim1999AlternativeSO, title={Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations}, author={Thomas A. Heim and Daniel Green}, journal={Journal of Mathematical Physics}, year={1999}, volume={40}, pages={2162-2180} }

By extending the concept of Euler-angle rotations to more than three dimensions, we develop the systematics under rotations in higher-dimensional space for a novel set of hyperspherical harmonics. Applying this formalism, we determine all pairwise Coulomb interactions in a few-body system without recourse to multipole expansions. Our approach combines the advantages of relative coordinates with those of the hyperspherical description. In the present method, each Coulomb matrix element reduces…

## 5 Citations

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