New information and entropic inequalities for Clebsch-Gordan coefficients
Quantum Physics
2018-01-17 v4
Abstract
The Clebsch-Gordan coefficients of the group SU(2) are shown to satisfy new inequalities. They are obtained using the properties of Shannon and Tsallis entropies. The inequalities associated with the Wigner 3-j symbols are obtained using the relation of Clebsch-Gordan coefficients with probability distributions interpreted either as distributions for composite systems or distributions for noncomposite systems. The new inequalities were found for Hahn polynomials and hypergeometric functions
Keywords
Cite
@article{arxiv.1606.00854,
title = {New information and entropic inequalities for Clebsch-Gordan coefficients},
author = {V. N. Chernega and O. V. Manko and V. I. Manko and Z. Seilov},
journal= {arXiv preprint arXiv:1606.00854},
year = {2018}
}
Comments
10 pages, 1 figure. The references are corrected. Paper is accepted by Theoretical and Mathematical Physics (2017)