The Canonical Partition Function for Quons

Details The Canonical Partition Function for Quons The Canonical Partition Function for Quons

1994-10-13

arxiv.org/abs/hep-th/9410096v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages RevTex, NCL94-TP5 ( To be published in Physics Letters A )

Scientific paper

10.1016/0375-9601(94)90423-5

We calculate the canonical partition function $Z_N$ for a system of $N$ free particles obeying so-called `quon' statistics where $q$ is real and satisfies $|q|<1$ by using simple counting arguments. We observe that this system is afflicted by the Gibbs paradox and that $Z_N$ is independent of $q$. We demonstrate that such a system of particles obeys the ideal gas law and that the internal energy $U$ ( and hence the specific heat capacity $C_V$ ) is identical to that of a system of $N$ free particles obeying Maxwell-Boltzmann statistics.

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