An alternate method is used to establish the analytic expression recently given and incompletely proved by Mikhailov (see ibid., vol.10, p.147 (1977)) for the multiplicity of occurrence of any angular momentum in the vector addition of n identical angular momenta.
The quantum mechanical addition of an arbitrary (very large) number of identical angular momenta is considered. The resulting states jm usually occur many times. The corresponding multiplicities P j and Q m are investigated. Several explicit formulae for Q m are given. The asymptotic approximations for multiplicities P j and Q m , which are the Wigner and Gauss distributions respectively, are derived. All parameters of the distributions are explicitly obtained. A comparison of theoretical multiplicities with the exact ones is made when the number of angular moments is relatively small.