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Gentile statistics with a large maximum occupation number

Wu-Sheng Dai·Mi Xie
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Abstract

In Gentile statistics the maximum occupation number can take on unrestricted integers: $1 1 the Bose-Einstein case is not recovered from Gentile statistics as n goes to % N . Attention is also concentrated on the contribution of the ground state which was ignored in related literature. The thermodynamic behavior of a $% ν$-dimensional Gentile ideal gas of particle of dispersion $E=\frac{p^{s}%}{2m}$, where $ν$ and s are arbitrary, is analyzed in detail. Moreover, we provide an alternative derivation of the partition function for Gentile statistics.

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BibTeXRIS

Wu-Sheng Dai, Mi Xie. 2007-07-31. Gentile statistics with a large maximum occupation number. https://doi.org/10.1016/j.aop.2003.08.018

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