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From creation and annihilation operators to statistics

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  • Hoyuelos, M.

Abstract

A procedure to derive the partition function of non-interacting particles with exotic or intermediate statistics is presented. The partition function is directly related to the associated creation and annihilation operators that obey some specific commutation or anti-commutation relations. The cases of Gentile statistics, quons, Polychronakos statistics, and ewkons are considered. Ewkons statistics was recently derived from the assumption of free diffusion in energy space (Hoyuelos and Sisterna, 2016); an ideal gas of ewkons has negative pressure, a feature that makes them suitable for the description of dark energy.

Suggested Citation

  • Hoyuelos, M., 2018. "From creation and annihilation operators to statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 944-952.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:944-952
    DOI: 10.1016/j.physa.2017.09.006
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    References listed on IDEAS

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    1. Algin, Abdullah & Senay, Mustafa, 2016. "Fermionic q-deformation and its connection to thermal effective mass of a quasiparticle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 232-246.
    2. Kaniadakis, G., 2001. "Non-linear kinetics underlying generalized statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(3), pages 405-425.
    3. Jenny Hogan, 2007. "Welcome to the dark side," Nature, Nature, vol. 448(7151), pages 240-245, July.
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