Thermodynamics of a free $S{U}_q(2)$ fermionic system

Abstract

We calculate the partition function, average occupation number and internal energy for a $S{U}_q(2)$ 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 $\mu$ to have the same temperature dependence than the Fermi case. For $q\ll 1$, the function $\mu (T)$ has in addition a linear dependence on $T$.

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References in corpus (3)

• Thermodynamic q-Distributions That Aren't
• Quantum Group Schrödinger Field Theory
• Complex $q$-Analysis and Scalar Field Theory on a $q$-Lattice

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• On the q-deformation of the NJL model
• Interacting dark matter and q-deformed dark energy non-minimally coupled to gravity
• Remarks on SU_q(2) fermions