Entropic inequalities for matrix elements of rotation group irreducible representations
- Авторлар: Man’ko V.1,2, Markovich L.2,3,4
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Мекемелер:
- P. N. Lebedev Physical Institute
- Moscow Institute of Physics and Technology
- Institute for Information Transmission Problems
- V. A. Trapeznikov Institute of Control Sciences
- Шығарылым: Том 38, № 4 (2017)
- Беттер: 699-708
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199652
- DOI: https://doi.org/10.1134/S199508021704014X
- ID: 199652
Дәйексөз келтіру
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.
Авторлар туралы
V. Man’ko
P. N. Lebedev Physical Institute; Moscow Institute of Physics and Technology
Хат алмасуға жауапты Автор.
Email: manko@lebedev.ru
Ресей, 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
Ресей, Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700; Bolshoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Profsoyuznaya 65, Moscow, 117997