Entropy group in the parastatistics of quantum non-extensive systems
The Abelian group of entropies and its representations for quantum non-extensive systems with the law of composition with quadratic nonlinearity are determined. The general properties are given, and a connection with the hyperbolic angle is established. An extension of parastatistics is given, in particular cases of which the known results follow.
Download file
Counter downloads: 147
Keywords
algebra, parastatistic, entropy groups, nonextensivity, парастатистика, алгебра, группа энтропий, неэкстенсивностьAuthors
| Name | Organization | |
| Zaripov R.G. | Institute of Mechanics and Engineering - Subdivision of the Federal State Budgetary Institution of Science «Kazan Scientific Center of the Russian Academy of Sciences» | zaripov@imm.knc.ru |
References
Renyi A. Probability Theory. - Amsterdam: North-Holland Publ. Co, 1970. - 573 p.
Gentile G. // Nuovo Cimento. - 1942. - V. 19. - No. 4. - P. 109.
Zaripov R.G. // Adv. Appl. Clifford Algebras. - 2017. - V. 27. - P. 1741.
Зарипов Р.Г. // Изв. вузов. Физика. - 2018. - Т. 61. - № 1. - С. 112.
Bose S.N. // Zeitschrift für Physik. - 1924. - V. 26. - P. 178.
Зарипов Р.Г. // Изв. вузов. Физика. - 2017. - Т. 60. - № 5. - С. 41.
Naudts Jan. Generalized Thermostatistics. - London: Springer, 2011. - 201 p.
Зарипов Р.Г. // Изв. вузов. Физика. - 2016. - Т. 59 - № 12. - С. 71.
Зарипов Р.Г. Принципы неэкстенсивной статистической механики и геометрия мер беспорядка и порядка. - Казань: Изд-во КГТУ, 2010. - 404 с.
Tsallis C. Introduction to Nonextensive Statistical Mechanics. Approaching a Complex World. - N.Y.: Springer, 2009. - 382 p.
Зарипов Р.Г. Новые меры и методы в теории информации. - Казань: Изд-во КГТУ, 2005. - 364 с.
