Thermodynamic Properties of a Quantum Group Boson Gas $GL_{p,q}(2)$

Details Thermodynamic Properties of a Quantum Group Boson Gas $GL_{p,q}(2)$ Thermodynamic Properties of a Quantum Group Boson Gas $GL_{p,q}(2)$

2000-10-24

arxiv.org/abs/hep-th/0010216v3

Mod.Phys.Lett. A17 (2002) 701-710

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1142/S0217732302006916

An approach is proposed enabling to effectively describe the behaviour of a bosonic system. The approach uses the quantum group $GL_{p,q}(2)$ formalism. In effect, 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 $p=q=1$.

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