Email this article New information-entropic relations for Clebsch–Gordan coefficients
- Authors: Chernega V.N.1, Manko O.V.1,2, Manko V.I.1,3, Seilov Z.3
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Affiliations:
- Lebedev Physical Institute, RAS
- Bauman Moscow State Technical University
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 193, No 2 (2017)
- Pages: 1715-1724
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171515
- DOI: https://doi.org/10.1134/S0040577917110113
- ID: 171515
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Abstract
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.
About the authors
V. N. Chernega
Lebedev Physical Institute, RAS
Author for correspondence.
Email: vchernega@gmail.com
Russian Federation, Moscow
O. V. Manko
Lebedev Physical Institute, RAS; Bauman Moscow State Technical University
Email: vchernega@gmail.com
Russian Federation, Moscow; Moscow
V. I. Manko
Lebedev Physical Institute, RAS; Moscow Institute of Physics and Technology (State University)
Email: vchernega@gmail.com
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast
Z. Seilov
Moscow Institute of Physics and Technology (State University)
Email: vchernega@gmail.com
Russian Federation, Dolgoprudny, Moscow Oblast
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