Spherical Harmonic [SEP] series
Spherical Harmonic
Spherical Harmonic is a science fiction novel from the Saga of the Skolian Empire by Catherine Asaro. It tells the story of Dyhianna Selei (Dehya), the Ruby Pharaoh of the Skolian Imperialate, as she strives to reform her government and reunite her family in the aftermath of a devastating interstellar war.
Plot summary.
"Spherical Harmonic" is a first person narrative told from the viewpoint of Dyhianna Selei. Although an elected Assembly governs the Imperialate, in ages past the Ruby Pharaoh ruled as absolute sovereign
the spherical harmonics can be re-expressed in terms of the hypergeometric series, as SO(3) = PSU(2) is a subgroup of PSL(2,C).
More generally, hypergeometric series can be generalized to describe the symmetries of any symmetric space; in particular, hypergeometric series can be developed for any Lie group.
See also.
- Cubic harmonic (often used instead of spherical harmonics in computations)
- Cylindrical harmonics
- Spherical basis
- Spin spherical harmonics
- Spin-weighted spherical harmonics