New information-entropic relations for Clebsch–Gordan coefficients


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Using properties of the Shannon and Tsallis entropies, we obtain new inequalities for the Clebsch–Gordan coefficients of the group SU(2). For this, we use squares of the Clebsch–Gordan coefficients as probability distributions. The obtained relations are new characteristics of correlations in a quantum system of two spins. We also find new inequalities for Hahn polynomials and the hypergeometric functions 3F2.

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V. Chernega

Lebedev Physical Institute, RAS

编辑信件的主要联系方式.
Email: vchernega@gmail.com
俄罗斯联邦, Moscow

O. Manko

Lebedev Physical Institute, RAS; Bauman Moscow State Technical University

Email: vchernega@gmail.com
俄罗斯联邦, Moscow; Moscow

V. Manko

Lebedev Physical Institute, RAS; Moscow Institute of Physics and Technology (State University)

Email: vchernega@gmail.com
俄罗斯联邦, Moscow; Dolgoprudny, Moscow Oblast

Z. Seilov

Moscow Institute of Physics and Technology (State University)

Email: vchernega@gmail.com
俄罗斯联邦, Dolgoprudny, Moscow Oblast

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