Entropic inequalities for matrix elements of rotation group irreducible representations


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Resumo

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.

Sobre autores

V. Man’ko

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

Autor responsável pela correspondência
Email: manko@lebedev.ru
Rússia, 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
Rússia, Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700; Bolshoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Profsoyuznaya 65, Moscow, 117997

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