THERMODYNAMIC PROPERTIES OF A QUANTUM GROUP BOSON GAS GLp,q(2)

Abstract

An approach is proposed enabling to effectively describe the behavior of a bosonic system. The approach uses the quantum group GL p,q(2) formalism. Indeed, considering a bosonic Hamiltonian in terms of the GL p,q(2) generators, it is shown that its thermodynamic properties are connected to deformation parameters p and q. For instance, the average number of particles and the pressure have been computed. If p is fixed to be the same value for q, our approach coincides perfectly with some results developed recently in this subject. The ordinary results, of the present system, can be found when we take the limit p = q = 1.