Entropic inequalities for matrix elements of rotation group irreducible representations

V. I. Man'ko; L. A. Markovich

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arXiv · 1511.07341

Entropic inequalities for matrix elements of rotation group irreducible representations

V. I. Man'ko·L. A. Markovich

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Abstract

Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained. To this end, an invertible mapping for the irreducible unitary representation of groups $SU(2)$ and $SU(1,1)$ like Jacoby polynomials and Gauss' hypergeometric functions, respectively, are used.

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V. I. Man'ko, L. A. Markovich. 2015-11-23. Entropic inequalities for matrix elements of rotation group irreducible representations. https://arxiv.org/abs/1511.07341

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