New information inequality for Clebsch-Gordan coefficients

V. N. Chernega, O. V. Manko, V. I. Manko, Z. Seilov

Published 2016-06-02Version 1

The Clebsch-Gordan coefficients of the group SU(2) are shown to satisfy known inequalities for Shannon and Tsallis entropies. The inequalities associated with the Wigner 3-j symbols are obtained using the relation of Clebsch-Gordan coefficients with probability distributions interpreted either as distributions for composite systems or distributions for noncomposite systems. The new inequalities are presented for Hahn polynomials and hypergeometric functions.