Geodesic
New information-entropic relations for Clebsch--Gordan coefficients
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 356-366

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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 ${}_3F_2$.
Keywords: information-entropic inequality, Shannon entropy, Tsallis entropy, subadditivity condition.
Mots-clés : Clebsch–Gordan coefficient, Wigner $3j$ symbol, Hahn polynomial 
@article{TMF_2017_193_2_a10,
     author = {V. N. Chernega and O. V. Man'ko and V. I. Man'ko and Z. Seilov},
     title = {New information-entropic relations for {Clebsch--Gordan} coefficients},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {356--366},
     publisher = {mathdoc},
     volume = {193},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a10/}
}
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V. N. Chernega; O. V. Man'ko; V. I. Man'ko; Z. Seilov. New information-entropic relations for Clebsch--Gordan coefficients. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 356-366. http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a10/