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

TL;DR

This paper investigates the thermodynamic properties of an $SU_q(2)$ fermionic system, calculating key quantities and comparing them to the standard fermionic case, revealing unique temperature dependencies influenced by the deformation parameter $q$.

Contribution

It introduces a detailed thermodynamic analysis of an $SU_q(2)$ fermionic system, highlighting how quantum group deformation affects physical properties at various temperatures.

Findings

At low temperatures and large q, chemical potential behaves like the Fermi case.

For small q, chemical potential shows a linear temperature dependence.

The model's thermodynamic quantities differ significantly from the standard fermionic system for varying q.

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 $\mu$ 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 $T$.