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

  title={Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations},
  author={Thomas A. Heim and Daniel Green},
  journal={Journal of Mathematical Physics},
  • T. HeimD. Green
  • Published 24 March 1999
  • Physics
  • Journal of Mathematical Physics
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… 
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