Thermodynamics of a free $SU_q(2)$ fermionic system

Abstract

We calculate the partition function, average occupation number and internal energy for a $SU_q(2)$ fermionic system and compare this model at $T=0$ with the ordinary fermionic, $q=1$, case. At low temperatures and $q\gg 1$ we find the chemical potential $μ$ to have the same temperature dependence than the Fermi case. For $q\ll 1$, the function $μ(T)$ has in addition a linear dependence on $T$.