2016/06/30 by V. N. Chernega, O. V. Manko, V. I. Manko +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Hypergeometric distribution #Hypergeometric function #Inequality #Mathematical functions and polynomials #Quantum #Quantum Mechanics and Non-Hermitian Physics #Recurrence relation #Statistical Mechanics and Entropy #quant-ph
paper · pdf · doi:10.1134/s0040577917110113
published in Theoretical and Mathematical Physics 193(2), 1715-1724 (Pleiades Publishing) · 10 pages, 1 figure. The references are corrected. Paper is accepted by Theoretical and Mathematical Physics (2017)
openalex created_date 2016/06/24 · arxiv created 2017/01/25 · openalex publication_date 2017/11/01 · arxiv updated 2018/01/17 · openalex updated_date 2026/08/05
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 3 F 2 .