Entropic inequalities for matrix elements of rotation group irreducible representations


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详细

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.

作者简介

V. Man’ko

P. N. Lebedev Physical Institute; Moscow Institute of Physics and Technology

编辑信件的主要联系方式.
Email: manko@lebedev.ru
俄罗斯联邦, Leninskii pr. 53, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700

L. Markovich

Moscow Institute of Physics and Technology; Institute for Information Transmission Problems; V. A. Trapeznikov Institute of Control Sciences

Email: manko@lebedev.ru
俄罗斯联邦, Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700; Bolshoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Profsoyuznaya 65, Moscow, 117997


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