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

arXiv comment10 pages, 1 figure. The references are corrected. Paper is accepted by Theoretical and Mathematical Physics (2017)

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