The Free Quon Gas Suffers Gibbs' Paradox

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1103/PhysRevD.48.2929

We consider the Statistical Mechanics of systems of particles satisfying the $q$-commutation relations recently proposed by Greenberg and others. We show that although the commutation relations approach Bose (resp.\ Fermi) relations for $q\to1$ (resp.\ $q\to-1$), the partition functions of free gases are independent of $q$ in the range $-1

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