Maple procedures for the coupling of angular momenta. An up-date of the Racah module Original Research Article

An up-date of the Racah module is presented, adopted to Maple 11 and 12, which supports both, algebraic manipulations of expressions from Racahʹs algebra as well as numerical computations of many functions and symbols from the theory of angular momentum. The functions that are known to the program include the Wigner rotation matrices and image symbols, Clebsch–Gordan and Gaunt coefficients, spherical harmonics of various kinds as well as several others.