An Abelian group of entropies is defined and its representations for quantum nonextensive systems with a composition law having quadratic nonlinearity are determined. Its most general properties are given, and a connection with the hyperbolic angle is established. An extension of parastatistics is presented, in particular cases of which known results follow.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 36–41, January, 2019.
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Zaripov, R.G. Entropy Group in Parastatistics of Quantum Nonextensive Systems. Russ Phys J 62, 40–48 (2019). https://doi.org/10.1007/s11182-019-01680-5
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DOI: https://doi.org/10.1007/s11182-019-01680-5