Email this article Entropic inequalities for matrix elements of rotation group irreducible representations
- Authors: Man’ko V.I.1,2, Markovich L.A.2,3,4
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Affiliations:
- P. N. Lebedev Physical Institute
- Moscow Institute of Physics and Technology
- Institute for Information Transmission Problems
- V. A. Trapeznikov Institute of Control Sciences
- Issue: Vol 38, No 4 (2017)
- Pages: 699-708
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/199652
- DOI: https://doi.org/10.1134/S199508021704014X
- ID: 199652
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Abstract
Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained. To this end, an invertible mapping for the irreducible unitary representation of groups SU(2) and SU(1, 1) like Jacoby polynomials and Gauss’ hypergeometric functions, respectively, are used.
About the authors
V. I. Man’ko
P. N. Lebedev Physical Institute; Moscow Institute of Physics and Technology
Author for correspondence.
Email: manko@lebedev.ru
Russian Federation, Leninskii pr. 53, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700
L. A. Markovich
Moscow Institute of Physics and Technology; Institute for Information Transmission Problems; V. A. Trapeznikov Institute of Control Sciences
Email: manko@lebedev.ru
Russian Federation, Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700; Bolshoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Profsoyuznaya 65, Moscow, 117997
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