Entropic inequalities for matrix elements of rotation group irreducible representations
- Авторы: Man’ko V.1,2, Markovich L.2,3,4
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Учреждения:
- P. N. Lebedev Physical Institute
- Moscow Institute of Physics and Technology
- Institute for Information Transmission Problems
- V. A. Trapeznikov Institute of Control Sciences
- Выпуск: Том 38, № 4 (2017)
- Страницы: 699-708
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199652
- DOI: https://doi.org/10.1134/S199508021704014X
- ID: 199652
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Аннотация
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.
Об авторах
V. Man’ko
P. N. Lebedev Physical Institute; Moscow Institute of Physics and Technology
Автор, ответственный за переписку.
Email: manko@lebedev.ru
Россия, 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
Россия, Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700; Bolshoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Profsoyuznaya 65, Moscow, 117997