A new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group
arXiv:1904.09501 · doi:10.1007/s11005-019-01181-z
Abstract
We present a new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group. The identity is obtained from an integral involving Gegenbauer ultraspherical polynomials. A similar procedure can be applied for other types of integrals of such polynomials, and may therefore lead to the derivation of further new relations.
submitted to Lett. Math. Phys