从创造和湮灭算子到统计学
From creation and annihilation operators to statistics
摘要：
本文给出了一种导出具有奇异统计量或中间统计量的非相互作用粒子的配分函数的方法。配分函数直接关系到相关的创造和湮灭算子，遵守一些特定的交换或反交换关系。Gentile统计，quons，Polychronakos统计，和ewkons的情况下被认为是。Ewkons统计最近来自能量空间中自由扩散的假设（Phys. Rev. E 94，062115，2016）; Ewkons的理想气体具有负压，这一特征使它们适合描述暗能量。
英文摘要：
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 (Phys. Rev. E 94, 062115, 2016); an ideal gas of ewkons has negative pressure, a feature that makes them suitable for the description of dark energy.
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