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Toward a Parastatistics in Quantum Nonextensive Statistical Mechanics

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On the basis of Bose quantum states in parastatistics the equations for the equilibrium distribution of quantum additive and nonextensive systems are determined. The fluctuations and variances of physical quantities for the equilibrium system are found. The Abelian group of microscopic entropies is determined for the composition law with a quadratic nonlinearity.

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References

  1. R. G. Zaripov, New Measures and Methods in Information Theory [in Russian], Kazan State Technical University Publishing House, Kazan (2005).

    Google Scholar 

  2. C. Tsallis, Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World, Springer, New York (2009).

    MATH  Google Scholar 

  3. R. G. Zaripov, Principles of Nonextensive Statistical Mechanics and the Geometry of Measures of Disorder and Order [in Russian], Kazan State Technical University Publishing House, Kazan (2010).

    Google Scholar 

  4. J. Naudts, Generalized Thermostatistics, Springer, London (2011).

    Book  MATH  Google Scholar 

  5. I. J. Taneja, Adv. Electronic. Electron Phys., 76, 327 (1989).

    Article  Google Scholar 

  6. J. Havrda and F. Charvat, Kybernetika, 3, 30 (1967).

    MathSciNet  Google Scholar 

  7. Z. Daroczy, Inform. Control, 16, 36 (1970).

    Article  Google Scholar 

  8. F. Büyükkilic and D. Demirhan, Phys. Lett. A, 181, 24 (1993).

    Article  ADS  MathSciNet  Google Scholar 

  9. R. G. Zaripov, Russ. Phys. J., 52, No. 4, 329 (2009).

    Article  Google Scholar 

  10. R. G. Zaripov, Russ. Phys. J., 52, No. 7, 725 (2009).

    Article  Google Scholar 

  11. G. Gentile, Nuovo Cimento, 19, No. 4, 109 (1942).

    Article  Google Scholar 

  12. S. N. Bose, Z. Phys., 26, 178 (1924).

    Article  ADS  Google Scholar 

  13. R. G. Zaripov, Russ. Phys. J., 59, No. 12, 2059 (2016).

    Article  Google Scholar 

  14. R. G. Zaripov, Russ. Phys. J., 60, No. 5, 789 (2017).

    Article  Google Scholar 

Download references

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Correspondence to R. G. Zaripov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 112–118, January, 2018.

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Zaripov, R.G. Toward a Parastatistics in Quantum Nonextensive Statistical Mechanics. Russ Phys J 61, 123–132 (2018). https://doi.org/10.1007/s11182-018-1375-9

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  • DOI: https://doi.org/10.1007/s11182-018-1375-9

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