New information and entropic inequalities for Clebsch-Gordan coefficients

Abstract

The Clebsch-Gordan coefficients of the group SU(2) are shown to satisfy new inequalities. They are obtained using the properties of 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 were found for Hahn polynomials and hypergeometric functions

10 pages, 1 figure. The references are corrected. Paper is accepted by Theoretical and Mathematical Physics (2017)