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From creation and annihilation operators to statistics

M. Hoyuelos

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 944-952

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.

Keywords: Creation and annihilation operators; Intermediate statistics; Gentile statistics (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:944-952

DOI: 10.1016/j.physa.2017.09.006

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