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arXiv · hep-th/0010216

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

Ahmed Jellal
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Abstract

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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Ahmed Jellal. 2000-12-06. Thermodynamic Properties of a Quantum Group Boson Gas $GL_{p,q}(2)$. https://doi.org/10.1142/s0217732302006916

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