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arXiv · 1606.00854

New information and entropic inequalities for Clebsch-Gordan coefficients

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

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V. N. Chernega, O. V. Manko, V. I. Manko, Z. Seilov. 2016-06-02. New information and entropic inequalities for Clebsch-Gordan coefficients. https://doi.org/10.1134/s0040577917110113

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