Thermodynamics of bosons systems related to Dunkl differential-difference operators

Abstract

We study the thermodynamics of systems based on a Fock space representation inspired by the differential-difference operators proposed in Ref. \cite{Dunkl}. We calculate thermodynamic functions as the entropy and heat capacity and compare them with the standard boson case. A calculation of the second virial coefficient and the scalar curvature in two and three dimensions show that these systems becomes repulsive within an interval of negative values of the reflection operator parameter $\mu_0$. In addition, the stability of this system is examined as a function of $\mu_0$