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Comment on ``Quantum Statistical Mechanics of an Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimension"

Wung-Hong Huang
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Abstract

It is mentioned that anyon thermodynamic potential $Q(α, N)$ could not be factorized in terms characteristic of the ideal boson $α=0$ and fermion $α=1$ gases by the relation $Q(α, N) = (1-α) Q(0, N_b)+ αQ(1, N_f)$ in which $N=N_f +N_b$, that claimed in Phys. Rev. Lett. 78, 3233 (1997). Our analyses indicate that the thermodynamic quantities of anyon gas may be factorized as $Q(α) = αQ(1) + (1-α) Q(0)$ only in the two-dimension system.

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Wung-Hong Huang. 2007-02-05. Comment on ``Quantum Statistical Mechanics of an Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimension". https://doi.org/10.1103/physrevlett.81.2392

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