New information-entropic relations for Clebsch–Gordan coefficients
- 作者: Chernega V.N.1, Manko O.V.1,2, Manko V.I.1,3, Seilov Z.3
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隶属关系:
- Lebedev Physical Institute, RAS
- Bauman Moscow State Technical University
- Moscow Institute of Physics and Technology (State University)
- 期: 卷 193, 编号 2 (2017)
- 页面: 1715-1724
- 栏目: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171515
- DOI: https://doi.org/10.1134/S0040577917110113
- ID: 171515
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详细
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.
作者简介
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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